Biography
Prof. G. Beliakov has been at Deakin University since 1999, raising from a Lecturer's position to Professor.
He has been an Associate Head of School (Research) between 2009-2012. He leads Computational Intelligence and Data Analytics Research cluster, and also leads several projects in the field of Computational Mathematics and Fuzzy Systems.
Read more on Gleb's profileResearch interests
- Fuzzy systems
- Aggregation operators
- Computational mathematics
- Numerical optimisation and data analysis
- Parallel programming
Teaching interests
- Mathematical Methods
- Linear Algebra
Knowledge areas
Computational mathematics, numerical approximation, fuzzy systems, aggregation functions, fuzzy measures and integrals
Expertise
- Artificial intelligence
- Computers
- Mathematics
Professional activities
-
Associate Editor of IEEE Transactions on Fuzzy Systems
(top ranked journal in the area)
-
Associate Editor of Fuzzy Sets and Systems
(top ranked journal in the area)
- Senior Member of IEEE
Research groups
Head of Mathematics group
https://blogs.deakin.edu.au/maths/lab-members/
Data to Intelligence research centre
https://www.deakin.edu.au/information-technology/research/data-to-intelligence-research-centre
Publications
Best-possible bounds on the set of copulas with a given value of Spearman's footrule
G Beliakov, E de Amo, J Fernández-Sánchez, M Úbeda-Flores
(2022), pp. 1-15, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
On Random Generation of Supermodular Capacities
G Beliakov
(2022), Vol. 30, pp. 293-296, IEEE Transactions on Fuzzy Systems, C1
Random generation of k-interactive capacities
G Beliakov, F Cabrerizo, E Herrera-Viedma, J Wu
(2022), Vol. 430, pp. 48-55, Fuzzy Sets and Systems, C1
Hierarchical data fusion processes involving the Möbius representation of capacities
G Beliakov, M Gagolewski, S James
(2022), Vol. 433, pp. 1-21, Fuzzy Sets and Systems, C1
Choquet integral-based measures of economic welfare and species diversity
G Beliakov, S James
(2022), Vol. 37, pp. 2849-2867, International Journal of Intelligent Systems, C1
Knapsack problems with dependencies through non-additive measures and Choquet integral
G Beliakov
(2022), Vol. 301, pp. 277-286, European Journal of Operational Research, C1
Frequency Spectrum Modification Process-Based Anti-Collusion Mechanism for Audio Signals
J Zhao, T Zong, Y Xiang, G Hua, X Lei, L Gao, G Beliakov
(2022), pp. 1-13, IEEE Transactions on Cybernetics, Piscataway, N.J., C1
G Beliakov, M Gagolewski, S James
(2022), Fuzzy Sets and Systems, C1
Optimising non-convex Choquet integrals using DC (difference of convex) algorithm
G Beliakov
(2022), FUZZ-IEEE 2022 : Proceedings of the IEEE International Conference on Fuzzy Systems 2022, Padua, Italy, E1
Learning k-maxitive fuzzy measures from data by mixed integer programming
G Beliakov, J Wu
(2021), Vol. 412, pp. 41-52, Fuzzy Sets and Systems, C1
On the derivatives of set functions in matrix representation
Gleb Beliakov
(2021), Vol. 546, pp. 469-480, Information sciences, Amsterdam, The Netherlands, C1
Global stability and periodicity in a glucose-insulin regulation model with a single delay
M Angelova, G Beliakov, A Ivanov, S Shelyag
(2021), Vol. 95, Communications in Nonlinear Science and Numerical Simulation, C1
Robust aggregation of compositional and interval-valued data: the mode on the unit simplex
T Wilkin, G Beliakov
(2021), pp. 1-20, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
Aggregation with dependencies: Capacities and fuzzy integrals
Gleb Beliakov, Dmitriy Divakov
(2021), pp. 1-11, Fuzzy Sets and Systems, Amsterdam, The Netherlands, C1
Cardinality-limiting extended pre-aggregation functions
G Beliakov, S James, A Kolesárová, R Mesiar
(2021), Vol. 76, pp. 66-74, Information Fusion, C1
Self-organized and unsupervised information integration method by combining capacity and PCA
J Wu, Y Li, F Chen, G Beliakov
(2021), Vol. 55, pp. 61-77, Economic Computation and Economic Cybernetics Studies and Research, Bucharest, Romania, C1
Comprehensive nonmodularity and interaction indices for decision analysis
J Wu, G Beliakov
(2021), Vol. 40, pp. 10671-10685, Journal of Intelligent and Fuzzy Systems, Amsterdam, The Netherlands, C1
Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures
Gleb Beliakov, Simon James
(2021), Vol. 578, pp. 22-36, Information Sciences, Amsterdam, The Netherlands, C1
J Zhao, T Zong, Y Xiang, L Gao, W Zhou, G Beliakov
(2021), Vol. 29, pp. 2282-2295, IEEE/ACM Transactions on Audio Speech and Language Processing, Piscataway, N.J., C1
Random generation of capacities and its application in comprehensive decision aiding
G Beliakov, J Wu
(2021), Vol. 577, pp. 424-435, Information Sciences, Amsterdam, The Netherlands, C1
Aggregation of interacting criteria in land combat vehicle selection by using fuzzy measures
G Beliakov, T Cao, V Mak-Hau
(2021), pp. 1-15, IEEE Transactions on Fuzzy Systems, Piscataway, N.J., C1
Discrete fuzzy measures: computational aspects: preface
G Beliakov, S James, J Wu
(2020), Cham, Switzerland, A1
On representation of fuzzy measures for learning Choquet and Sugeno integrals
G Beliakov, D Divakov
(2020), Vol. 189, Knowledge-Based Systems, C1
Robust fitting for the Sugeno integral with respect to general fuzzy measures
Gleb Beliakov, Marek Gagolewski, Simon James
(2020), Vol. 514, pp. 449-461, Information sciences, Amsterdam, The Netherlands, C1
Marginal contribution representation of capacity-based multicriteria decision making
J Wu, G Beliakov
(2020), Vol. 35, pp. 373-400, International journal of intelligent systems, Chichester, Eng., C1
Towards sophisticated decision models: Nonadditive robust ordinal regression for preference modeling
G Beliakov, J Wu, D Divakov
(2020), Vol. 190, Knowledge-Based Systems, C1
DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures
G Beliakov, M Gagolewski, S James
(2020), Vol. 69, pp. 2515-2534, Optimization, C1
Density estimates on the unit simplex and calculation of the mode of a sample
M Angelova, G Beliakov, S Shelyag, Y Zhu
(2020), Vol. 35, pp. 850-868, International Journal of Intelligent Systems, C1
K-order representative capacity
J Wu, G Beliakov
(2020), Vol. 38, pp. 3105-3115, Journal of intelligent and fuzzy systems, Amsterdam, The Netherlands, C1
On the extended set of weights of the OWA functions
G Beliakov, J Špirková, T Calvo
(2020), Vol. 49, pp. 355-373, International Journal of General Systems, C1
J Wu, R Xi, G Beliakov
(2020), Vol. 54, pp. 281-297, Economic Computation and Economic Cybernetics Studies and Research, C1
L Huang, J Wu, G Beliakov
(2020), Vol. 39, pp. 3441-3452, Journal of Intelligent and Fuzzy Systems, Amsterdam, The Netherlands, C1
The axiomatic characterisations of non-modularity index
G Beliakov, J Wu
(2020), Vol. 49, pp. 675-688, International journal of general systems, Abingdon, Eng., C1
Juan Zhao, Tianrui Zong, Yong Xiang, Longxiang Gao, Gleb Beliakov
(2020), pp. 201-212, WISE 2020 : Proceedings of the 21st International Conference on Web Information Systems Engineering, Amsterdam and Leiden, The Netherlands, E1
J Wu, G Beliakov
(2019), Vol. 34, pp. 247-270, International journal of intelligent systems, Chichester, Eng., C1
Mixture functions and their monotonicity
J Špirková, G Beliakov, H Bustince, J Fernandez
(2019), Vol. 481, pp. 520-549, Information Sciences, C1
Supervised learning to aggregate data with the Sugeno integral
Marek Gagolewski, Simon James, Gleb Beliakov
(2019), Vol. 27, pp. 810-815, IEEE transactions on fuzzy systems, Piscataway, N. J., C1
Nonmodularity index for capacity identifying with multiple criteria preference information
J Wu, G Beliakov
(2019), Vol. 492, pp. 164-180, Information sciences, Amsterdam, The Netherlands, C1
Learning fuzzy measures from data: simplifications and optimisation strategies
G Beliakov, J Wu
(2019), Vol. 494, pp. 100-113, Information sciences, Amsterdam, The Netherlands, C1
Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming
J Wu, G Beliakov
(2019), Vol. 34, pp. 1732-1752, International journal of intelligent systems, Chichester, Eng., C1
Aggregation on ordinal scales with the Sugeno integral for biomedical applications
G Beliakov, M Gagolewski, S James
(2019), Vol. 501, pp. 377-387, Information sciences, Amsterdam, The Netherlands, C1
Fitting Sugeno integral for learning fuzzy measures using PAVA isotone regression
G Beliakov, D Divakov
(2019), Vol. 34, pp. 2863-2871, International journal of intelligent systems, Chichester, Eng., C1
K-minitive capacities and k-minitive aggregation functions
J Wu, G Beliakov
(2019), Vol. 37, pp. 2797-2808, Journal of Intelligent and Fuzzy Systems, Amsterdam, The Netherlands, C1
Density-based clustering using approximate natural neighbours
Maia Angelova, Gleb Beliakov, Ye Zhu
(2019), Vol. 85, APPLIED SOFT COMPUTING, C1
Matrix representation of capacity-based multicriteria decision analysis
R Xi, J Wu, G Beliakov
(2019), Vol. 7, pp. 185543-185553, IEEE access, Piscataway, N.J., C1
The mode of interval-valued data
T Wilkin, G Beliakov
(2019), FUZZ-IEEE 2019 : IEEE International Conference on Fuzzy Systems, New Orleans, Louisiana, E1
Pre-adjustment based anti-collusion mechanism for audio signals
J Zhao, T Zong, Y Xiang, L Gao, G Beliakov
(2019), Vol. 11928, pp. 305-319, NSS 2019 : Proceedings of the 13th International Conference on Network and Systems Security 2019, Sapporo, Japan, E1
Aggregation of dependent criteria in multicriteria decision making problems by means of capacities
G Beliakov, S Boswell, T Cao, R Dazeley, V Mak-Hau, M Nguyen, T Wilkin, J Yearwood
(2019), pp. 228-234, MODSIM2019 : Supporting evidence-based decision making: the role of modelling and simulation : Proceedings of the 23rd International Congress on Modelling and Simulation, Canberra, A.C.T., E1
Comparing apples and oranges: the weighted OWA function
G Beliakov
(2018), Vol. 33, pp. 1089-1108, International Journal of Intelligent Systems, Hoboken, N.J., C1
G Beliakov, M Gagolewski, S James, S Pace, N Pastorello, E Thilliez, R Vasa
(2018), Vol. 67, pp. 910-919, Applied soft computing, Amsterdam, The Netherlands, C1
Robustifying OWA operators for aggregating data with outliers
G Beliakov, S James, T Wilkin, T Calvo
(2018), Vol. 26, pp. 1823-1832, IEEE Transactions on Fuzzy Systems, Piscataway, N.J., C1
A new type of fuzzy integrals for decision making based on bivariate symmetric means
G Beliakov
(2018), Vol. 33, pp. 1660-1671, International journal of intelligent systems, Chichester, Eng., C1
J Wu, G Beliakov
(2018), Vol. 467, pp. 398-406, Information sciences, Amsterdam, The Netherlands, C1
Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis
G Beliakov, G Das, H Vu, T Wilkin, Y Xiang
(2018), Vol. 6, pp. 68403-68414, IEEE Access, C1
On a Method of Multivariate Density Estimate Basedon Nearest Neighbours Graphs
G Beliakov
(2018), Vol. 26, pp. 58-73, Discrete and Continuous Models and Applied Computational Science, Moscow, Russia, C1-1
Directional and ordered directional monotonicity of mixture functions
J Špirková, G Beliakov, H Bustince, J Fernández
(2018), Vol. 581, pp. 96-105, AGOP 2017: Aggregation Functions in Theory and in Practice : Proceedings from the 9th International Summer School of Aggregation Operators, Skovde, Sweden, E1
G Beliakov, M Gagolewski, S James
(2018), Vol. 854, pp. 367-378, IPMU 2018: Proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems : Theory and Foundations, Cadiz, Spain, E1
A method of introducing weights into OWA operators and other symmetric functions
G Beliakov
(2017), Vol. 683, pp. 37-52, Uncertainty modeling, Cham, Switzerland, B1
Idempotent weighted aggregation based on binary aggregation trees
J Dujmović, G Beliakov
(2017), Vol. 32, pp. 31-50, International journal of intelligent systems, Hoboken, N.J., C1
Aggregation and consensus for preference relations based on fuzzy partial orders
G Beliakov, S James, T Wilkin
(2017), Vol. 16, pp. 409-428, Fuzzy optimization and decision making, Berlin, Germany, C1
On the definition of penalty functions in data aggregation
H Bustince, G Beliakov, G Pereira Dimuro, B Bedregal, R Mesiar
(2017), Vol. 323, pp. 1-18, Fuzzy Sets and Systems, C1
Approaches to learning strictly-stable weights for data with missing values
G Beliakov, D Gómez, S James, J Montero, J Rodríguez
(2017), Vol. 325, pp. 97-113, Fuzzy Sets and Systems, C1-1
G Beliakov, T Calvo, P Fuster-Parra
(2017), Vol. 417, pp. 96-112, Information Sciences, Philadelphia, Pa., C1
Patchwork-based multilayer audio watermarking
I Natgunanathan, Y Xiang, G Hua, G Beliakov, J Yearwood
(2017), Vol. 25, pp. 2176-2187, IEEE/ACM transactions on audio speech and language processing, Piscataway, N.J., C1
Granular, Soft and Fuzzy Approaches for Intelligent Systems Preface
J Kacprzyk, D Filev, G Beliakov
(2017), A7
Robust image denoising and smoothing with generalised spatial-tonal Averages
T Wilkin, G Beliakov
(2017), pp. 1-7, FUZZ-IEEE 2017 : Proceedings of the IEEE International Conference on Fuzzy Systems, Naples, Italy, E1
A practical guide to averaging functions
G Beliakov, H Bustince, T Sanchez
(2016), Cham, Switzerland, A1
A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic
G Beliakov, Y Matiyasevich
(2016), Vol. 56, pp. 33-50, BIT numerical mathematics, Berlin, Germany, C1
Extension of bivariate means to weighted means of several arguments by using binary trees
G Beliakov, J Dujmović
(2016), Vol. 331, pp. 137-147, Information sciences, Atlanta, Ga., C1
Weak monotonicity of Lehmer and Gini means
G Beliakov, J Spirkova
(2016), Vol. 299, pp. 26-40, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
A Pradera, G Beliakov, H Bustince, B De Baets
(2016), Vol. 329, pp. 357-380, Information sciences, Amsterdam, The Netherlands, C1
S Bangay, G Beliakov
(2016), Vol. 23, pp. 485-500, Numerical linear algebra with applications, Chichester, Eng., C1
Protection of Privacy in Biometric Data
I Natgunanathan, A Mehmood, Y Xiang, G Beliakov, J Yearwood
(2016), Vol. 4, pp. 880-892, IEEE Access, C1
Penalty-Based and Other Representations of Economic Inequality
G Beliakov, M Gagolewski, S James
(2016), Vol. 24, pp. 1-23, International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, C1
Fitting aggregation functions to data: part I-linearization and regularization
M Bartoszuk, G Beliakov, M Gagolewski, S James
(2016), Vol. 611, pp. 767-779, IPMU 2016 : Proceedings of the 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Eindhoven, The Netherlands, E1
Linear optimization for ecological indices based on aggregation functions
G Beliakov, A Geschke, S James, D Nimmo
(2016), Vol. 611, pp. 411-422, 16th International Conference, IPMU 2016 Eindhoven, The Netherlands, June 20–24, 2016 Proceedings, Part II, Eindhoven, The Netherlands, E1
Fitting aggregation functions to data: Part II - idempotization
M Bartoszuk, G Beliakov, M Gagolewski, S James
(2016), Vol. 611, pp. 780-789, IPMU 2016 : Proceedings of the 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Eindhoven, The Netherlands, E1
A high embedding capacity image watermarking method with rank-based embedder and decoder
T Zong, Y Xiang, P Chen, S Nahavandi, G Beliakov
(2016), pp. 1260-1264, ICIEA 2016: Proceedings of the IEEE 11th Conference on Industrial Electronics and Applications, Hefei, China, E1
Robust OWA-based aggregation for data with outliers
G Beliakov, S James, T Wilkin, T Calvo
(2016), pp. 1874-1879, FUZZ-IEEE 2016 : Proceedings of the 2016 IEEE International Conference on Fuzzy Systems, Vancouver, Canada, E1
Aggregation functions for recommender systems
G Beliakov, T Calvo, S James
(2015), pp. 777-808, Recommender systems handbook, New York, N.Y., B1
Parallel bucket sorting on graphics processing units based on convex optimization
G Beliakov, G Li, S Liu
(2015), Vol. 64, pp. 1033-1055, Optimization, Abingdon, Eng., C1
Construction of image reduction operators using averaging aggregation functions
D Paternain, J Fernandez, H Bustince, R Mesiar, G Beliakov
(2015), Vol. 261, pp. 87-111, Fuzzy Sets and Systems, C1
Solving DC programs using the cutting angle method
A Ferrer, A Bagirov, G Beliakov
(2015), Vol. 61, pp. 71-89, Journal of global optimization, New York, NY, C1
Weakly monotonic averaging functions
T Wilkin, G Beliakov
(2015), Vol. 30, pp. 144-169, International Journal of Intelligent Systems, NJ, United States, C1
Unifying approaches to consensus across different preference representations
G Beliakov, S James
(2015), Vol. 35, pp. 888-897, Applied soft computing journal, Amsterdam, The Netherlands, C1
On the weak monotonicity of Gini means and other mixture functions
G Beliakov, T Calvo, T Wilkin
(2015), Vol. 300, pp. 70-84, Information Sciences, Amsterdam, The Netherlands, C1
Using aggregation functions to model human judgements of species diversity
G Beliakov, S James, D Nimmo
(2015), Vol. 306, pp. 21-33, Information sciences, Amsterdam, The Netherlands, C1
Robust histogram shape-based method for image watermarking
T Zong, Y Xiang, I Natgunanathan, S Guo, W Zhou, G Beliakov
(2015), Vol. 25, pp. 717-729, IEEE Transactions on Circuits and Systems for Video Technology, New York, NY, C1
G Beliakov, Y Matiyasevich
(2015), Vol. 24, pp. 150-161, Experimental mathematics, London, Eng., C1
Characterizing compactness of geometrical clusters using fuzzy measures
G Beliakov, G Li, H Vu, T Wilkin
(2015), Vol. 23, pp. 1030-1043, IEEE transactions on fuzzy systems, Piscataway, N.J., C1
Biased experts and similarity based weights in preferences aggregation
G Beliakov, S James, L Smith, T Wilkin
(2015), Vol. 89, pp. 363-370, EUSFLAT 2015: Proceedings of the 16th World Congress of the International-Fuzzy-Systems-Association (IFSA) / 9th Conference of the European-Society-for-Fuzzy-Logic-and-Technology, Gijon, Spain, E1
Construction and aggregation of preference relations based on fuzzy partial orders
G Beliakov, S James, T Wilkin
(2015), pp. 1-8, FUZZ-IEEE 2015: Proceedings of the IEEE International Conference on Fuzzy Systems, Istanbul, TURKEY, E1
Learning stable weights for data of varying dimension
G Beliakov, S James, D Gomez, J Rodriguez, J Montero
(2015), pp. 49-54, AGOP 2015: Proceeedings of the Aggregation Operators 2015 International Summer School, Katowice, Poland, E1
Parallel monotone spline interpolation and approximation on GPUs
G Beliakov, S Liu
(2014), pp. 295-310, Designing scientific applications on GPUs, Boca Raton, Flo., B1
Weakly monotone averaging functions
T Wilkin, G Beliakov, T Calvo
(2014), Vol. 444 CCIS, pp. 364-373, Communications in Computer and Information Science, Cham, Switzerland, B1
A choquet integral toolbox and its application in customer preference analysis
H Vu, G Beliakov, G Li
(2014), pp. 247-272, Data mining applications with R, Waltham, MA., B1
Single-preference consensus measures based on models of ecological evenness
G Beliakov, S James, L Smith
(2014), Vol. 8825, pp. 50-59, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Heidelberg , Germany, B1
H Bustince, E Barrenechea, T Calvo, S James, G Beliakov
(2014), Vol. 17, pp. 56-64, Information fusion, Amsterdam, Netherlands, C1
Consistency and stability in aggregation operators : an application to missing data problems
D Gomez, K Rojas, J Montero, J Rodriguez, G Beliakov
(2014), Vol. 7, pp. 595-604, International journal of computational intelligence systems, Paris, France, C1
Consensus measures constructed from aggregation functions and fuzzy implications
G Beliakov, T Calvo, S James
(2014), Vol. 55, pp. 1-8, Knowledge-based systems, Amsterdam, The Netherlands, C1
Strong fuzzy subsethood measures and strong equalities via implication functions
D Paternain, H Bustince, J Fernandez, J Sanz, M Baczyński, G Beliakov, R Mesiar
(2014), Vol. 22, pp. 347-371, Journal of multiple-valued logic and soft computing, Philadelphia, Pa., C1
On some properties of weighted averaging with variable weights
G Beliakov, T Wilkin
(2014), Vol. 281, pp. 1-7, Information sciences, Philadelphia, PA, C1
Vector valued similarity measures for Atanassov's intuitionistic fuzzy sets
G Beliakov, M Pagola, T Wilkin
(2014), Vol. 280, pp. 352-367, Information sciences, Philadelphia, PA, C1
Best-possible bounds on the set of copulas with given degree of non-exchangeability
G Beliakov, B De Baets, H De Meyer, R Nelsen, M Úbeda-Flores
(2014), Vol. 417, pp. 451-468, Journal of mathematical analysis and applications, San Diego, Calif., C1
Iterative construction of hierarchical classifiers for phishing website detection
J Abawajy, G Beliakov, A Kelarev, M Chowdhury
(2014), Vol. 9, pp. 2089-2098, Journal of Networks, Oulu, Finland, C1
A penalty-based aggregation operator for non-convex intervals
G Beliakov, S James
(2014), Vol. 70, pp. 335-344, Knowledge-based systems, Amsterdam, The Netherlands, C1
Three types of monotonicity of averaging functions
G Beliakov, T Calvo, T Wilkin
(2014), Vol. 72, pp. 114-122, Knowledge-Based Systems, Amsterdam , Netherlands, C1
On weak monotonicity of some mixture functions
T Calvo, G Beliakov, T Wilkin
(2014), pp. 297-302, ESTYLF 2014 : Proceedings of the 17th Spanish Congress on Fuzzy Logic and Technology, Zaragoza, Spain, E1
Can indices of ecological evenness be used to measure consensus?
G Beliakov, S James, D Nimmo
(2014), pp. 25-32, FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, Beijing, China, E1
Fuzzy measures of pixel cluster compactness
G Beliakov, G Li, H Vu, T Wilkin
(2014), pp. 1104-1111, FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, Beijing, China, E1
G Beliakov, S James
(2014), pp. 298-305, FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, Beijing; China, E1
(S,N)-implications on bounded lattices
B Bedregal, G Beliakov, H Bustince, J Fernandez, A Pradera, R Reiser
(2013), pp. 101-124, Advances in fuzzy implication functions, Heidelberg, Germany, B1
Image reduction operators as aggregation functions: Fuzzy transform and undersampling
D Paternain, A Jurio, R Mesiar, G Beliakov, H Bustince
(2013), Vol. 228, pp. 405-414, Advances in Soft Computing, Berlin, Germany, B1-1
On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts
G Beliakov, S James
(2013), Vol. 211, pp. 84-98, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
Global non-smooth optimization in robust multivariate regression
G Beliakov, A Kelarev
(2013), Vol. 28, pp. 124-138, Optimization methods and software, Essex, Eng., C1
H Bustince, A Jurio, A Pradera, R Mesiar, G Beliakov
(2013), Vol. 225, pp. 472-478, European journal of operational research, Amsterdam, The Netherlands, C1
Uncertainties with Atanassov's intuitionistic fuzzy sets : fuzziness and lack of knowledge
N Pal, H Bustince, M Pagola, U Mukherjee, D Goswami, G Beliakov
(2013), Vol. 228, pp. 61-74, Information sciences, New York, N.Y., C1
G Beliakov, D Creighton, M Johnstone, T Wilkin
(2013), Vol. 184, pp. 1999-2004, Computer physics communications, Amsterdam, The Netherlands, C1
Stability of weighted penalty-based aggregation functions
G Beliakov, S James
(2013), Vol. 226, pp. 1-18, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
G Beliakov, H Bustince, J Fernandez, R Mesiar, A Pradera
(2013), pp. 1-6, EUSFLAT 2013 : Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology 2013, Milan, Italy, E1
Aggregating fuzzy implications to measure group consensus
G Beliakov, S James, T Calvo
(2013), pp. 1016-1021, IFSA/NAFIPS 2013 : Proceedings of the 9th Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Alberta, E1
Learning aggregation weights from 3-tuple comparison sets
G Beliakov, S James, D Nimmo
(2013), pp. 1388-1393, IFSA/NAFIPS 2013 : Proceedings of the 9th Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Alberta, E1
A generalization of the Bonferroni mean based on partitions
G Beliakov, S James, M Radko
(2013), FUZZ-IEEE 2013 : Proceedings of the IEEE International Conference on Fuzzy Systems, Hyderabad, India, E1
Negations generated by bounded lattices t-norms
B Bedregal, G Beliakov, H Bustince, J Fernandez, A Pradera, R Reiser
(2012), pp. 326-335, Advances in computational intelligence, Berlin, Germany, B1
Image reduction using means on discrete product lattices
G Beliakov, H Bustince, D Paternain
(2012), Vol. 21, pp. 1070-1083, IEEE transactions on image processing, Piscataway, N. J., C1
A class of fuzzy multisets with a fixed number of memberships
B Bedregal, G Beliakov, H Bustince, T Calvo, R Mesiar, D Paternain
(2012), Vol. 189, pp. 1-17, Information sciences, Philadelphia, Pa., C1
Aggregation functions and contradictory information
A Pradera, G Beliakov, H Bustince
(2012), Vol. 191, pp. 41-61, Fuzzy sets and systems, Amsterdam, Netherlands, C1
Improving the speed and stability of the k-nearest neighbors method
G Beliakov, G Li
(2012), Vol. 33, pp. 1296-1301, Pattern recognition letters, Amsterdam, Netherlands, C1
Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator
G Beliakov, H Bustince, S James, T Calvo, J Fernandez
(2012), Vol. 20, pp. 487-498, IEEE transactions on fuzzy systems, Piscataway, N.J., C1
Application of rank correlation, clustering and classification in information security
G Beliakov, J Yearwood, A Kelarev
(2012), Vol. 7, pp. 935-945, Journal of networks, Oulu, Finland, C1
Computing of high breakdown regression estimators without sorting on graphics processing units
G Beliakov, M Johnstone, S Nahavandi
(2012), Vol. 94, pp. 433-447, Computing, Wien, Austria, C1
K-Complex Detection Using a Hybrid-Synergic Machine Learning Method
H Vu, G Li, N Sukhorukova, G Beliakov, S Liu, C Philippe, H Amiel, A Ugon
(2012), Vol. 42, pp. 1478-1490, IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews, Piscataway, NJ, C1
Derivative-free optimization and neural networks for robust regression
G Beliakov, A Kelarev, J Yearwood
(2012), Vol. 61, pp. 1467-1490, Optimization, Abingdon, England, C1
G Beliakov, M Johnstone, D Creighton, T Wilkin
(2012), pp. 1-18, Computing, Wein, Austria, C1
A fuzzy decision support method for customer preferences analysis based on Choquet integral
H Vu, G Li, G Beliakov
(2012), pp. 75-82, FUZZ-IEEE 2012 : Proceedings of the IEEE 2012 International Conference on Fuzzy Systems, Brisbane, Qld., E1
Defining Bonferroni means over lattices
G Beliakov, S James
(2012), pp. 67-74, FUZZ-IEEE 2012 : Proceedings of the IEEE 2012 International Conference on Fuzzy Systems, Brisbane, Qld., E1
Construction of strong equality index from implication operators
H Bustince, J Fernandez, J Sanz, D Paternain, M Baczyski, G Beliakov, R Mesiar
(2012), pp. 769-774, FLINS 2012 : Proceedings of the 10th International Conference on Uncertainty Modeling in Knowledge Engineering and Decision Making, Istanbul, Turkey, E1
Using linear programming for weights identification of generalized bonferroni means in R
G Beliakov, S James
(2012), pp. 35-44, MDAI 2012 : Modeling decisions for artificial intelligence : 9th International Conference, Girona, Catalonia, Spain, November 2012 : proceedings, Catalonia, Spain, E1
Performance evaluation of multi-tier ensemble classifiers for phishing websites
J Abawajy, G Beliakov, A Kelarev, J Yearwood
(2012), pp. 11-16, ATIS 2012 : Proceedings of the 3rd Applications and Technologies in Information Security Workshop, Melbourne, Vic., E1
Color image reduction by minimizing penalty functions
D Paternain, A Jurio, G Beliakov
(2012), pp. 205-211, WCCI 2012 : Proceedings of the IEEE World Congress on Computational Intelligence, Brisbane, Queensland, E1
A characterization theorem for t-representable n-dimensional triangular norms
B Bedregal, G Beliakov, H Bustince, T Calvo, J Fernandez, R Mesiar
(2011), pp. 103-112, Eurofuse 2011 : workshop on fuzzy methods for knowlege-based systems, Berlin, Germany, B1
Color image magnification with interval-valued fuzzy sets
A Jurio, M Pagola, H Bustince, G Beliakov
(2011), pp. 313-324, Eurofuse 2011 : workshop on fuzzy methods for knowledge-based systems, Berlin, Germany, B1
Image reduction using fuzzy quantifiers
D Paternain, C Lopez-Molina, H Bustince, R Mesiar, G Beliakov
(2011), pp. 351-362, Eurofuse 2011 : workshop on fuzzy methods for knowledge-based systems, Berlin, Germany, B1
Induced ordered weighted averaging operators
G Beliakov, S James
(2011), pp. 29-47, Recent developments in the ordered weighted averaging operators : theory and practice, Berlin, Germany, B1
On penalty-based aggregation functions and consensus
G Beliakov, T Calvo, S James
(2011), pp. 23-40, Consensual processes, Berlin, Germany, B1
Aggregation of preferences in recommender systems
G Beliakov, T Calvo, S James
(2011), pp. 705-734, Recommender systems handbook, New York, B1
G Beliakov, H Bustince, J Fernandez
(2011), Vol. 175, pp. 36-47, Fuzzy sets and systems, Amsterdam, Netherlands, C1
Fast computation of trimmed means
G Beliakov
(2011), Vol. 39, pp. 1-6, Journal of statistical software, Alexandria, Va., C1
Citation-based journal ranks : The use of fuzzy measures
G Beliakov, S James
(2011), Vol. 167, pp. 101-119, Fuzzy Sets and Systems, Netherlands, C1
Image magnification using interval information
A Jurio, M Pagola, R Mesiar, G Beliakov, H Bustince
(2011), Vol. 20, pp. 3112-3123, IEEE transactions on image processing, Piscataway, N. J., C1
Interval-valued fuzzy sets applied to stereo matching of color images
M Galar, J Fernandez, G Beliakov, H Bustince
(2011), Vol. 20, pp. 1949-1961, IEEE Transactions on Image Processing, United States, C1
Learning choquet-integral-based metrics for semisupervised clustering
G Beliakov, S James, G Li
(2011), Vol. 19, pp. 562-574, IEEE Transactions on Fuzzy Systems, Piscataway, NJ, C1
On averaging operators for Atanassov's intuitionistic fuzzy sets
G Beliakov, H Bustince, D Goswami, U Mukherjee, N Pal
(2011), Vol. 181, pp. 1116-1124, Information Sciences, Philadelphia, PA, C1
Detecting K-complexes for sleep stage identification using nonsmooth optimisation
D Moloney, N Sukhorukova, P Vamplew, J Ugon, G Li, G Beliakov, C Philippe, H Amiel, A Ugon
(2011), Vol. 52, pp. 319-332, ANZIAM Journal, Cambridge, England, C1
Discriminating DDoS attack traffic from flash crowd through packet arrival patterns
T Thapngam, S Yu, W Zhou, G Beliakov
(2011), pp. 952-957, INFOCOM WKSHPS 2011 : IEEE Conference on Computer Communications Workshops, Shanghai, China, E1
Non-monotone averaging aggregation
G Beliakov, S Yu, D Paternain
(2011), pp. 2905-2908, FUZZ 2011 : IEEE International Conference on Fuzzy Systems, Taipei, Taiwan, E1
A Pradera, G Beliakov, H Bustince, J Fernandez
(2011), pp. 93-98, AGOP 2011 : Proceedings of 6th International Summer School on Aggregation Operators, Benevento, Italy, E1
One image reduction algorithm for RGB color images
D Paternain, A Jurio, M Pagola, H Bustince, G Beliakov
(2011), pp. 366-371, EUSFLAT-2011 : Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, Aix-les-Bains, France, E1
Penalty functions over a cartesian product of lattices
H Bustince, J Fernandez, R Mesiar, G Beliakov, T Calvo
(2011), pp. 59-64, AGOP 2011 : Proceedings of 6th International Summer School on Aggregation Operators, Benevento, Italy, E1
Representing images by means of interval-valued fuzzy sets. Application to stereo matching
M Galar, E Barrenechea, J Fernandez, H Bustince, G Beliakov
(2011), pp. 134-141, T2FUZZ 2011 : IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems, Paris, France, E1
Restricted dissimilarity functions and penalty functions
H Bustince, J Fernandez, R Mesiar, A Pradera, G Beliakov
(2011), pp. 79-85, EUSFLAT-2011 : Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, Aix-les-Bains, France, E1
A construction method of interval-valued fuzzy sets for image processing
A Jurio, D Paternain, C Lopez-Molina, H Bustince, R Mesiar, G Beliakov
(2011), pp. 16-22, T2FUZZ 2011 : IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems, Paris, France, E1
Brain MRI thresholding using incomparability and overlap functions
D Paternain, M Pagola, J Fernandez, R Mesiar, G Beliakov, H Bustince
(2011), pp. 808-812, ISDA 2011 : Proceedings of the 11th International Conference on Intelligent Systems Design and Applications, Cordoba, Spain, E1
An application of novel clustering technique for information security
G Beliakov, J Yearwood, A Kelarev
(2011), pp. 6-11, ATIS 2011 : Workshop proceedingof ATIS 2011. Melbourne, November 9th, 2011. Second Applications and Techniques in Information Security Workshop, Melbourne, Vic., E1
Optimization and aggregation functions
G Beliakov
(2010), pp. 77-108, Fuzzy optimization : recent advances and applications, Berlin, Germany, B1
Some averaging functions in image reduction
D Paternain, H Bustince, J Fernandez, G Beliakov, R Mesiar
(2010), pp. 399-408, Trends in applied intelligent systems, Berlin, Germany, B1
A Juan, A Ferrer, C Serrat, J Faulin, G Beliakov, J Hester
(2010), pp. 199-214, Simulation methods for reliability and availability of complex systems, London, England, B1
Aggregation functions based on penalties
T Calvo, G Beliakov
(2010), Vol. 161, pp. 1420-1436, Fuzzy sets and systems, Amsterdam, Netherlands, C1
On Lipschitz properties of generated aggregation functions
G Beliakov, T Calvo, S James
(2010), Vol. 161, pp. 1437-1447, Fuzzy sets and systems, Amsterdam, Netherlands, C1
OWA operators in regression problems
R Yager, G Beliakov
(2010), Vol. 18, pp. 106-113, IEEE transactions on fuzzy systems, Piscataway, N.J., C1
Bounded lower subdifferentiability optimization techniques : applications
G Beliakov, A Ferrer
(2010), Vol. 47, pp. 211-231, Journal of global optimization, New York, N.Y., C1
Fuzzy entropy from weak fuzzy subsethood measures
M Galar, H Bustince, J Fernandez, J Sanz, G Beliakov
(2010), Vol. 20, pp. 139-158, Neural network world : international journal on non-standard computing and artificial intelligence, Prague, Czech Republic, C1
Generalized Bonferroni mean operators in multi-criteria aggregation
G Beliakov, S James, J Mordelova, T Ruckschlossová, R Yager
(2010), Vol. 161, pp. 2227-2242, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
Image reduction with local reduction operators
D Paternain, H Bustince, J Fernandez, G Beliakov, R Mesiar
(2010), pp. 1-8, WCCI 2010 : IEEE World Congress on Computational Intelligence, Barcelona, Spain, E1
Means on discrete product lattices
G Beliakov, H Bustince, J Fernandez, D Paternain
(2010), pp. 315-319, ESTYLF 2010 : Proceedings of the XIII Spanish Conference on Technologies and Fuzzy Logic, Huelva, Spain, E1
A construction method of Atanassov's intuitionistic fuzzy sets for image processing
A Jurio, D Paternain, H Bustince, C Guerra, G Beliakov
(2010), pp. 337-342, IS 2010 : Proceedings of the 5th IEEE International Conference of Intelligent Systems, London, England, E1
Construction of k-Lipschitz triangular norms and conorms from empirical data
G Beliakov, T Calvo
(2009), Vol. 17, pp. 1217-1220, IEEE transactions on fuzzy systems, Piscataway, N.J., C1
Construction of aggregation functions from data using linear programming
G Beliakov
(2009), Vol. 160, pp. 65-75, Fuzzy sets and systems, Amsterdam, Netherlands, C1
Citation based journal rankings : an application of fuzzy measures
G Beliakov, S James
(2009), pp. 59-64, AGOP 2009 : Proceedings of the Fifth International Summer School on Aggregation Operators, Palma, Spain, E1
OWA operators in linear regression and detection of outliers
G Beliakov, R Yager
(2009), pp. 71-76, AGOP 2009 : Proceedings of the Fifth International Summer School on Aggregation Operators, Palma, Spain, E1
On migrative means and copulas
T Calvo, G Beliakov
(2009), pp. 107-109, AGOP 2009 : Proceedings of the Fifth International Summer School on Aggregation Operators, Palma, Spain, E1
Some results on Lipschitz quasi-arithmetic means
G Beliakov, T Calvo, S James
(2009), pp. 1370-1375, IFSA-EUSFLAT 2009 : Proceedings of the 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, Lisbon, Portugal, E1
On generalized bonferroni means
R Yager, G Beliakov, S James
(2009), pp. 1-6, EUROFUSE 2009 : Proceedings of the Eurofuse Workshop Preference Modelling and Decision Analysis, Pamplona, Spain, E1
Using choquet integrals for evaluating citation indices in journal ranking
G Beliakov, S James
(2009), pp. 1-6, EUROFUSE 2009 : Proceedings of the Eurofuse Workshop Preference Modelling and Decision Analysis, Pamplona, Spain, E1
Identification of weights in aggregation operators
T Calvo, G Beliakov
(2008), pp. 145-162, Fuzzy sets and their extensions: representation, aggregation and models : intelligent systems from decision making to data mining, web intelligence and computer vision, Berlin, Germany, B1
Interpolatory type construction of general aggregation operators
G Beliakov, T Calvo
(2008), pp. 99-120, Fuzzy sets and their extensions: representation, aggregation and models : intelligent systems from decision making to data mining, web intelligence and computer vision, Berlin, Germany, B1
Extended cutting angle method of global optimization
G Beliakov
(2008), Vol. 4, pp. 153-176, Pacific journal of optimization, Yokohama, Japan, C1
Fitting fuzzy measures by linear programming. Programming library fmtools
G Beliakov
(2008), pp. 862-867, 2008 IEEE International Conference on Fuzzy Systems : proceedings : FUZZ-IEEE 2008, Hong Kong, E1
Using Choquet integrals for kNN approximation and classification
G Beliakov, S James
(2008), pp. 1311-1317, 2008 IEEE International Conference on Fuzzy Systems : proceedings : FUZZ-IEEE 2008, Hong Kong, E1
Texture recognition by using GLCM and various aggregation functions
G Beliakov, S James, L Troiano
(2008), pp. 1472-1476, 2008 IEEE International Conference on Fuzzy Systems : proceedings : FUZZ-IEEE 2008, Hong Kong, E1
Aggregation functions : a guide for practitioners
G Beliakov, A Pradera, T Calvo
(2007), Berlin, Germany, A1
Handling of neutral information by aggregation operators
G Beliakov, T Calvo, A Pradera
(2007), Vol. 158, pp. 861-880, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
G Beliakov
(2007), Vol. 3, pp. 193-208, Journal of industrial and management optimization, Springfield, Mo., C1
Challenges of continuous global optimization in molecular structure prediction
G Beliakov, K Lim
(2007), Vol. 181, pp. 1198-1213, European journal of operational research, Amsterdam, The Netherlands, C1
Absorbent tuples of aggregation operators
G Beliakov, T Calvo, A Pradera
(2007), Vol. 158, pp. 1675-1691, Fuzzy sets and systems, Amsterdam, The Netherlands, C1
Construction of aggregation operators with noble reinforcement
G Beliakov, T Calvo
(2007), Vol. 15, pp. 1209-1218, IEEE transactions on fuzzy systems, New York, N.Y., C1
Implementation of novel methods of global and nonsmooth optimization: GANSO programming library
G Beliakov, J Ugon
(2007), Vol. 56, pp. 543-546, Optimization, Abingdon, England, C1
G Beliakov
(2007), Vol. 22, pp. 901-916, Optimization methods and software, Abingdon, England, C1
Pointwise construction of Lippschitz aggregation operators with specific properties
G Beliakov, T Calvo, J Lazaro
(2007), Vol. 15, pp. 193-223, International journal of uncertainty, fuzziness, and knowledge-based systems., Singapore, C1-1
Fitting ST-OWA operators to empirical data
G Beliakov, L Troiano
(2007), pp. 67-73, New Dimensions in Fuzzy Logic and Related Technologies : proceedings of the 5th EUSFLAT conference, Ostrava, Czech Republic, September 11-14, 2007, Ostrava, Czech Republic, E1
Constructions of aggregation operators that preserve ordering of the data
G Beliakov, T Calvo
(2007), pp. 61-66, New Dimensions in Fuzzy Logic and Related Technologies : proceedings of the 5th EUSFLAT conference, Ostrava, Czech Republic, September 11-14, 2007, Ostrava, Czech Republic, E1
Handling neutral and absorbent information in aggregation processes
G Beliakov, T Calvo, A Pradera
(2007), pp. 31-36, AGOP 2007 : Proceedings of the Fourth International Summer School on Aggregation Operators, Ghent, Belgium, E1
Interpolation of Lipschitz functions
G Beliakov
(2006), Vol. 196, pp. 20-44, Journal of computational and applied mathematics, Amsterdam, The Netherlands, C1
Density based fuzzy c-means clustering of non-convex patterns
G Beliakov, M King
(2006), Vol. 173, pp. 717-728, European journal of operational research, Amsterdam, Netherlands, C1
G Beliakov, A Bagirov
(2006), Vol. 55, pp. 459-479, Optimization, London, England, C1-1
Handling of absorbent information by aggregation operators
G Beliakov, T Calvo, A Pradera
(2006), pp. 307-312, ESTYLF 2006 : XIII Spanish Conference on Technologies and Fuzzy Logic,, Ciudad Real, Spain, E1
Handling of neutral information by aggregation operators
G Beliakov, T Calvo, A Pradera
(2006), pp. 587-594, IPMU 2006 : Proceedings of the 11th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Paris, France, E1
Pointwise construction of Lipschitz aggregation operators
G Beliakov, T Calvo, J Lazaro
(2006), pp. 595-602, Proceedings of the 11th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Paris, France, E1
Review of applications of the Cutting Angle methods
G Beliakov
(2005), pp. 209-248, Continuous optimization, New York, N.Y., B1-1
Fitting triangular norms to empirical data
G Beliakov
(2005), pp. 262-272, Logical, algebraic, analytic, and probabilistic aspects of triangular norms, Boston, Mass., B1-1
Mathematical modelling of the refractive index reconstruction through global optimization
G Beliakov, S Buckley
(2005), Vol. 18, pp. 389-403, International journal of pure and applied mathematics : IJPAM, Sofia, Bulgaria, C1
Learning weights in the generalized OWA operators
G Beliakov
(2005), Vol. 4, pp. 119-130, Fuzzy optimization and decision making, Dordrecht, Netherlands, C1
Class library ranlip for multivariate nonuniform random variate generation
G Beliakov
(2005), Vol. 170, pp. 93-108, Computer physics communications, Amsterdam, Netherlands, C1
Universal nonuniform random vector generator based on acceptance-rejection
G Beliakov
(2005), Vol. 15, pp. 205-232, ACM transactions on modeling and computer simulation, New York, N.Y., C1
Monotonicity preserving approximation of multivariate scattered data
G Beliakov
(2005), Vol. 45, pp. 653-677, BIT numerical mathematics, Dordrecht, The Netherlands, C1
W Ommundsen
(2005), Vol. Special Issue Website Series, pp. 1-5, Text, Gold Coast, Qld., C1
Identification of general and double aggregation operators using monotone smoothing
G Beliakov, T Calvo
(2005), pp. 937-942, EUSFLAT 2005 : Proceedings of the Fourth Conference of the European Society for Fuzzy Logic and Technology and 11 Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, E1
Identification of general aggregation operators by Lipschitz approximation
G Beliakov
(2005), pp. 230-233, Proceedings of the IASTED International Conference on Artficial Intelligence and Applications : February 14-16, 2005, Innsbruck, Austria, Innsbruck, Austria, E1
Fuzzy c-means density based clustering using data induced metric
G Beliakov, M King
(2005), pp. 234-239, Proceedings of the IASTED International Conference on Artificial Intelligence and Applications, Innsbruck, Austria, E1
Least squares splines with free knots: global optimization approach
G Beliakov
(2004), Vol. 149, pp. 783-798, Applied mathematics and computation, New York, NY, C1
Fitting generated aggregation operators to empirical data
G Beliakov, R Mesiar, L Valaskova
(2004), Vol. 12, pp. 219-236, International journal of uncertainty, fuzziness, and knowledge-based systems, Singapore, C1
Cutting angle method - a tool for constrained global optimization
G Beliakov
(2004), Vol. 19, pp. 137-151, Optimization methods and software, London, England, C1
Nonlinear time series forecasting using Lipschitz approximation
G Beliakov, J Gonzalez
(2004), Proceedings of the 6th International Conference on Optimization Techniques and Applications, Ballarat, Australia, E1
New data induced metric for density based clustering
M King, G Beliakov
(2004), pp. 1-12, Proceedings of the 6th International Conference on Optimization Techniques and Applications, Ballarat, Australia, E1
G Beliakov, T Calvo, E Barriocanal, M Sicilia
(2004), ICOTA 2004 : Proceedings of the 6th International Conference on Optimization Techniques and Applications, Ballarat, Australia, E1
Efficient serial and parallel implementations of the cutting angle method
G Beliakov, K Ting, M Murshed, A Rubinov, M Bertoli
(2003), pp. 57-74, High performance algorithms and software for nonlinear optimization, United States, B1
Predicting molecular structures: an application of the cutting angle method
K Lim, G Beliakov, L Batten
(2003), Vol. 5, pp. 3884-3890, Physical chemistry chemical physics : PCCP, Cambridge, England, C1
How to build aggregation operators from data
G Beliakov
(2003), Vol. 18, pp. 903-923, International journal of intelligent systems, New York, NY, C1
Geometry and combinatorics of the cutting angle method
G Beliakov
(2003), Vol. 52, pp. 379-394, Optimization, London, England, C1
Reconstruction of the refractive index profile of planar waveguides using ray tracing analysis
G Beliakov, S Buckley
(2003), pp. 384-387, Optical networking : technologies, traffic engineering and management : conference proceedings, Melbourne, Australia, E1
Parallelization of the discrete gradient method of non-smooth optimization and its applications
G Beliakov, J Monsalve Tobon, A Bagirov
(2003), pp. 592-601, Computational science - ICCS 2003 : international conference, Melbourne, Australia and St. Petersburg, Russia, June 2-4, 2003 : proceedings, Melbourne, Australia and St. Petersburg, Russia, E1
K Lim, G Beliakov, L Batten
(2003), pp. 1040-1049, ICCS 2003 : Proceedings of the 2003 International Conference on Computational Science, Melbourne, Australia and St. Petersburg, Russia, June 2-4, 2003 : proceedings, Melbourne, Vic. and St. Petersburg, Russia, E1
Approximation of membership functions and aggregation operators using splines
G Beliakov
(2002), pp. 159-172, Technologies for constructing intelligent systems, Heidelberg, Germany, B1
Monotone approximation of aggregation operators using least squares splines
G Beliakov
(2002), Vol. 10, pp. 659-676, International journal of uncertainty, fuzziness, and knowledge-based systems, Singapore, C1
Fast algorithm for the cutting angle method of global optimization
L Batten, G Beliakov
(2002), Vol. 24, pp. 149-161, Journal of global optimization, Dordrecht, The Netherlands, C1
Global optimization of neural networks
G Beliakov
(2002), pp. 719-725, Intelligent systems for information processing : from representation to applications, France, E1
Three new techniques of approximating aggregation operators from empirical data
G Beliakov
(2002), pp. 945-952, Intelligent systems for information processing : from representation to applications, Annecy, France, E1
Fuzzy logic for decision support in chronic care
G Beliakov, J Warren
(2001), Vol. 21, pp. 209-213, Artificial intelligence in medicine, Tecklenburg, Germany, C1
Appropriate choice of aggregation operators in fuzzy decision support systems
G Beliakov, J Warren
(2001), Vol. 9, pp. 773-784, IEEE transactions on fuzzy systems, Piscataway, N.J., C1
Mixed-initiative decision support for care planning based on clinical practice guidelines
G Beliakov, J Warren, J Noone
(2001), Vol. 10, pp. 429-448, Journal of decision systems, Paris, France, C1
Automated attention flags in chronic disease care planning
J Warren, J Noone, B Smith, R Ruffin, P Frith, B van der Zwaag, G Beliakov, H Frankel, H McElroy
(2001), Vol. 175, pp. 308-312, Medical journal of Australia, Sydney, N.S.W., C1
Fuzzy clustering using global optimisation
G Beliakov
(2001), pp. 72-79, ICOTA 2001 : Proceedings of the 5th International Conference on Optimization: Techniques and Applications, Hong Kong, E1
Efficient serial and parallel implementations of the cutting angle global optimisation technique
G Beliakov, K Ting, M Murshed
(2001), pp. 80-87, ICOTA 2001 : Proceedings of the 5th International Conference on Optimization: Techniques and Applications, Hong Kong, E1
Fuzzy clustering of non-convex patterns using global optimization
G Beliakov
(2001), pp. 220-223, Meeting the grand challenge : machines that serve people : [proceedings of] the 10th IEEE International Conference on Fuzzy Systems, December 2001, 2-5 December, the University of Melbourne, Australia, University of Melbourne, E1
Methods of construction of OWA operators from data
G Beliakov
(2001), pp. 184-187, Meeting the grand challenge : machines that serve people : [proceedings of] the 10th IEEE International Conference on Fuzzy Systems, December 2001, 2-5 December, the University of Melbourne, Australia, University fo Melbourne, E1
Curve and surface design using constrained splines
G Beliakov, J Monsalve
(2001), pp. 8-16, proceedings of mathematics & design 2001 : the third international conference, July 3-5, 2001, Deakin University, Geelong, Australia, Deakin University, Geelong, E1
Global optimisation of neural networks using a deterministic hybrid approach
G Beliakov, A Abraham
(2001), pp. 79-92, Hybrid information systems, Adelaide, E1
Shape preserving approximation using least squares splines
G Beliakov
(2000), Vol. 16, pp. 80-98, Analysis in theory and applications, Dordrecht, The Netherlands, C1-1
Definition of general aggregation operators through similarity relations
G Beliakov
(2000), Vol. 114, pp. 437-453, Fuzzy sets and systems, Amsterdam, The Netherlands, C1-1
Fuzzy logic in clinical practice decision support systems
J Warren, G Beliakov, B van der Zwaag
(2000), pp. 1-10, Proceedings of the 33rd Hawaii International Conference on System Sciences, Maui, Hawaii, E1-1
Aggregation operators as similarity relations
G Beliakov
(2000), Vol. 516, pp. 331-341, INFORMATION, UNCERTAINTY AND FUSION, SORBONNE, PARIS, FRANCE, E1-1
G Beliakov, D Chan
(1998), Vol. 37, pp. 5106-5111, Applied optics, [New York, N.Y.], C1-1
Analysis of inhomogeneous optical systems by the use of ray tracing. I. Planar systems
G Beliakov, D Chan
(1997), Vol. 36, pp. 5303-5309, Applied optics, [Washington, D.C.], C1-1
Reconstruction of optical characteristics of waveguide lenses by the use of ray tracing
G Beliakov
(1994), Vol. 33, pp. 3401-3404, Applied optics, Washington, D. C., C1-1
Funded Projects at Deakin
Australian Competitive Grants
Detection of suspicious activities and decision support
Prof Gleb Beliakov
Dept. of Prime Minister and Cabinet - NSST
- 2011: $19,736
- 2010: $21,954
Novel Audio Watermarking Techniques for Tracing Multimedia Piracy
Prof Yong Xiang, Prof Gleb Beliakov, Dr Longxiang Gao, Prof Wanlei Zhou
ARC Linkage - Projects
- 2021: $49,836
- 2020: $102,212
- 2019: $94,979
- 2018: $51,511
Beyond black-box models: interaction in eXplainable Artificial Intelligence
Prof Gleb Beliakov, A/Prof Simon James, Dr Marek Gagolewski, Prof Enrique Herrera-Viedma
ARC - Discovery Projects
- 2023: $37,436
- 2022: $124,335
- 2021: $119,474
Other Public Sector Funding
Scaling Force Effectiveness Modelling and Assessment Methods.
A/Prof Vicky Mak, Prof John Yearwood, Prof Gleb Beliakov, Prof Richard Dazeley, A/Prof Tim Wilkin
The Defence Science and Technology Group of the Department of Defence
- 2021: $49,221
- 2020: $114,880
- 2019: $131,293
Valuing Dependencies in Portfolio Allocation Through Choquet Integral based Knapsack Problem.
Prof Gleb Beliakov
DSTO Grant - Research - Defence Science & Technology Organisation
- 2021: $10,000
- 2020: $90,000
Planning and Optimisation of Resources in Defence Satellite Communication Systems - Satellite Dynamic Resource Management (SAT-DREAM).
Dr Chetan Arora, A/Prof Vicky Mak, Prof Gleb Beliakov
Department of Defence
- 2022: $220,101
- 2021: $100,000
Industry and Other Funding
Novel Audio Watermarking Techniques for Tracing Multimedia Piracy
Prof Yong Xiang, Prof Gleb Beliakov, Dr Longxiang Gao, Prof Wanlei Zhou
Flag Explore
- 2020: $30,000
- 2019: $30,000
- 2018: $30,000
Supervisions
Timothy Alan Wilkin
Thesis entitled: Weakly Monotonic Averaging with Application to Image Processing
Doctor of Philosophy (Information Technology), School of Information Technology
Simon James
Thesis entitled: The Use of Aggregation in Decision Making
Doctor of Philosophy (Information Technology), School of Information Technology
Stephen Robert Buckley
Thesis entitled: Planar Waveguide Refractive Index Profile Reconstruction using Global Optimization
Master of Science (Information Technology), School of Information Technology
Shigang Liu
Thesis entitled: Deficient Data Classification with Fuzzy Learning
Doctor of Philosophy (Information Technology), School of Information Technology
Derek Wang
Thesis entitled: Protein Function Prediction based on Protein : Protein Interaction Networks
Master of Science (Information Technology), School of Information Technology
Shaowu Liu
Thesis entitled: Relative Preference-Based Recommender Systems
Doctor of Philosophy (Information Technology), School of Information Technology
Huy Vu
Thesis entitled: Preference Mining Techniques for Consumer Behavior Analysis
Doctor of Philosophy (Information Technology), School of Information Technology