Prof Gleb Beliakov

STAFF PROFILE

Position

Professor

Faculty

Faculty of Sci Eng & Built Env

Department

School of Info Technology

Campus

Melbourne Burwood Campus

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 Information Processing and Computational Intelligence Research Lab, and also leads several projects in the field of Computational Mathematics and Fuzzy Systems.

Read more on Gleb's profile

Research 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

Fuzzy systems Averaging functions Numerical approximation High performance computation Computational mathematics Numerical optimisation
  • 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)
     
  • Associate Editor of TOP (the official journal of the Spanish Society of Statistics and Operations Research)
  • Senior Member of IEEE

Publications

Filter by

2017

Idempotent weighted aggregation based on binary aggregation trees

J Dujmovi?, G Beliakov

(2017), Vol. 32, pp. 31-50, International journal of intelligent systems, Hoboken, N.J., C1

journal

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, Amsterdam, The Netherlands, C1

journal

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

chapter

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, Amsterdam, The Netherlands, C1-1

journal

Implicit averaging functions

G Beliakov, T Calvo, P Fuster-Parra

(2017), Vol. 417, pp. 96-112, Information Sciences, Philadelphia, Pa., C1

journal

Comparing apples and oranges: the weighted OWA function

G Beliakov

(2017), pp. 1-20, International Journal of Intelligent Systems, Hoboken, N.J., C1

journal

Measuring traffic congestion: an approach based on learning weighted inequality, spread and aggregation indices from comparison data

G Beliakov, M Gagolewski, S James, S Pace, N Pastorello, E Thilliez, R Vasa

(2017), pp. 1-10, Applied Soft Computing, Amsterdam, The Netherlands, C1

journal

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

journal

Robustifying OWA operators for aggregating data with outliers

G Beliakov, S James, T Wilkin, T Calvo

(2017), Vol. PP, pp. 1-10, IEEE Transactions on Fuzzy Systems, Piscataway, N.J., C1

journal
2016

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

journal

Extension of bivariate means to weighted means of several arguments by using binary trees

G Beliakov, J Dujmovi?

(2016), Vol. 331, pp. 137-147, Information sciences, Atlanta, Ga., C1

journal

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

journal

A review of the relationships between implication, negation and aggregation functions from the point of view of material implication

A Pradera, G Beliakov, H Bustince, B De Baets

(2016), Vol. 329, pp. 357-380, Information sciences, Amsterdam, The Netherlands, C1

journal

A practical guide to averaging functions

G Beliakov, H Bustince, T Sanchez

(2016), Cham, Switzerland, A1

book

On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics

S Bangay, G Beliakov

(2016), Vol. 23, pp. 485-500, Numerical linear algebra with applications, Chichester, Eng., C1

journal

Protection of privacy in biometric data

I Natgunanathan, A Mehmood, Y Xiang, G Beliakov, J Yearwood

(2016), Vol. 4, pp. 880-892, IEEE access, Piscataway, N.J., C1

journal

Fitting aggregation functions to data: part I-linearization and regularization

M Bartoszuk, G Beliakov, M Gagolewski, S James

(2016), Vol. 611, pp. 767-779, Information processing and management of uncertainty in knowledge-based systems, Berlin, Germany, E1

conference

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

conference

Fitting aggregation functions to data: Part II - idempotization

M Bartoszuk, G Beliakov, M Gagolewski, S James

(2016), Vol. 611, pp. 780-789, Information processing and management of uncertainty in knowledge-based systems, Berlin, Germany, E1

conference

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

conference

Aggregation and consensus for preference relations based on fuzzy partial orders

G Beliakov, S James, T Wilkin

(2016), pp. 1-20, Fuzzy optimization and decision making, Berlin, Germany, C1

journal

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

conference

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, Singapore, C1

journal
2015

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

journal

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 sstems, Amsterdam, The Netherlands, C1

journal

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

journal

Weakly monotonic averaging functions

T Wilkin, G Beliakov

(2015), Vol. 30, pp. 144-169, International Journal of Intelligent Systems, NJ, United States, C1

journal

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

journal

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

journal

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

journal

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

journal

Approximation of riemanns zeta function by finite dirichlet series: A multiprecision numerical approach

G Beliakov, Y Matiyasevich

(2015), Vol. 24, pp. 150-161, Experimental mathematics, London, Eng., C1

journal

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

conference

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

journal

Aggregation functions for recommender systems

G Beliakov, T Calvo, S James

(2015), pp. 777-808, Recommender systems handbook, New York, N.Y., B1

chapter

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

conference

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

conference
2014

Consensus in multi-expert decision making problems using penalty functions defined over a cartesian product of lattices

H Bustince, E Barrenechea, T Calvo, S James, G Beliakov

(2014), Vol. 17, pp. 56-64, Information fusion, Amsterdam, Netherlands, C1

journal

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

chapter

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

journal

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

journal

Strong fuzzy subsethood measures and strong equalities via implication functions

D Paternain, H Bustince, J Fernandez, J Sanz, M Baczy?ski, G Beliakov, R Mesiar

(2014), Vol. 22, pp. 347-371, Journal of multiple-valued logic and soft computing, Philadelphia, Pa., C1

journal

On some properties of weighted averaging with variable weights

G Beliakov, T Wilkin

(2014), Vol. 281, pp. 1-7, Information sciences, Philadelphia, PA, C1

journal

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

journal

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

journal

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

journal

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

chapter

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

chapter

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

journal

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

chapter

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

journal

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

conference

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

conference

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

conference

Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs

G Beliakov, S James

(2014), pp. 298-305, FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, Beijing; China, E1

conference
2013

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

journal

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

journal

Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions

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

journal

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

journal

(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

chapter

Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers

G Beliakov, D Creighton, M Johnstone, T Wilkin

(2013), Vol. 184, pp. 1999-2004, Computer physics communications, Amsterdam, The Netherlands, C1

journal

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

journal

On the use of restricted dissimilarity and dissimilarity-like functions for de?ning penalty functions

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

conference

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

conference

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

conference

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

conference

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

chapter
2012

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

journal

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

journal

Aggregation functions and contradictory information

A Pradera, G Beliakov, H Bustince

(2012), Vol. 191, pp. 41-61, Fuzzy sets and systems, Amsterdam, Netherlands, C1

journal

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

journal

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

journal

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

journal

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

journal

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

journal

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

conference

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

conference

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

chapter

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

conference

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

conference

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

conference

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

conference

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

journal

An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units

G Beliakov, M Johnstone, D Creighton, T Wilkin

(2012), pp. 1-18, Computing, Wein, Austria, C1

journal
2011

The median and its extensions

G Beliakov, H Bustince, J Fernandez

(2011), Vol. 175, pp. 36-47, Fuzzy sets and systems, Amsterdam, Netherlands, C1

journal

Fast computation of trimmed means

G Beliakov

(2011), Vol. 39, pp. 1-6, Journal of statistical software, Alexandria, Va., C1

journal

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

journal

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

journal

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

journal

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

journal

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

journal

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

conference

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

conference

On (TS,N)-fuzzy implications

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

conference

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

conference

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

conference

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

conference

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

conference

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

conference

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

conference

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

chapter

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

chapter

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

chapter

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

chapter

On penalty-based aggregation functions and consensus

G Beliakov, T Calvo, S James

(2011), pp. 23-40, Consensual processes, Berlin, Germany, B1

chapter

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

journal

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

conference

Aggregation of preferences in recommender systems

G Beliakov, T Calvo, S James

(2011), pp. 705-734, Recommender systems handbook, New York, B1

chapter
2010

Aggregation functions based on penalties

T Calvo, G Beliakov

(2010), Vol. 161, pp. 1420-1436, Fuzzy sets and systems, Amsterdam, Netherlands, C1

journal

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

journal

OWA operators in regression problems

R Yager, G Beliakov

(2010), Vol. 18, pp. 106-113, IEEE transactions on fuzzy systems, Piscataway, N.J., C1

journal

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

journal

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

journal

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

journal

Optimization and aggregation functions

G Beliakov

(2010), pp. 77-108, Fuzzy optimization : recent advances and applications, Berlin, Germany, B1

chapter

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

conference

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

chapter

Potential applications of discrete-event simulation and fuzzy rule-based systems to structural reliability and availability

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

chapter

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

conference

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

conference
2009

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

journal

Construction of aggregation functions from data using linear programming

G Beliakov

(2009), Vol. 160, pp. 65-75, Fuzzy sets and systems, Amsterdam, Netherlands, C1

journal

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

conference

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

conference

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

conference

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

conference

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

conference

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

conference
2008

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

chapter

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

chapter

Extended cutting angle method of global optimization

G Beliakov

(2008), Vol. 4, pp. 153-176, Pacific journal of optimization, Yokohama, Japan, C1

journal

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

conference

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

conference

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

conference
2007

Aggregation functions : a guide for practitioners

G Beliakov, A Pradera, T Calvo

(2007), Berlin, Germany, A1

book

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

journal

Construction of aggregation operators for automated decision making via optimal interpolation and global optimization

G Beliakov

(2007), Vol. 3, pp. 193-208, Journal of industrial and management optimization, Springfield, Mo., C1

journal

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

journal

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

journal

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

journal

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

journal

Smoothing Lipschitz functions

G Beliakov

(2007), Vol. 22, pp. 901-916, Optimization methods and software, Abingdon, England, C1

journal

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

conference

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

conference

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

conference

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

journal
2006

Interpolation of Lipschitz functions

G Beliakov

(2006), Vol. 196, pp. 20-44, Journal of computational and applied mathematics, Amsterdam, The Netherlands, C1

journal

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

journal

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

conference

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

conference

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

conference

Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization

G Beliakov, A Bagirov

(2006), Vol. 55, pp. 459-479, Optimization, London, England, C1-1

journal
2005

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

journal

Learning weights in the generalized OWA operators

G Beliakov

(2005), Vol. 4, pp. 119-130, Fuzzy optimization and decision making, Dordrecht, Netherlands, C1

journal

Class library ranlip for multivariate nonuniform random variate generation

G Beliakov

(2005), Vol. 170, pp. 93-108, Computer physics communications, Amsterdam, Netherlands, C1

journal

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

journal

Monotonicity preserving approximation of multivariate scattered data

G Beliakov

(2005), Vol. 45, pp. 653-677, BIT numerical mathematics, Dordrecht, The Netherlands, C1

journal

Introduction

W Ommundsen

(2005), Vol. Special Issue Website Series, pp. 1-5, Text, Gold Coast, Qld., C1

journal

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

conference

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

conference

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

conference

Review of applications of the Cutting Angle methods

G Beliakov

(2005), pp. 209-248, Continuous optimization, New York, N.Y., B1-1

chapter

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

chapter
2004

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

journal

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

journal

Cutting angle method - a tool for constrained global optimization

G Beliakov

(2004), Vol. 19, pp. 137-151, Optimization methods and software, London, England, C1

journal

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

conference

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

conference

Choquet integral-based aggregation of interface usability parameters: identification of fuzzy measure

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

conference
2003

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

chapter

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

journal

How to build aggregation operators from data

G Beliakov

(2003), Vol. 18, pp. 903-923, International journal of intelligent systems, New York, NY, C1

journal

Geometry and combinatorics of the cutting angle method

G Beliakov

(2003), Vol. 52, pp. 379-394, Optimization, London, England, C1

journal

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

conference

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

conference

A new method for locating the global optimum : application of the cutting angle method to molecular structure prediction

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

conference
2002

Approximation of membership functions and aggregation operators using splines

G Beliakov

(2002), pp. 159-172, Technologies for constructing intelligent systems, Heidelberg, Germany, B1

chapter

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

journal

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

journal

Global optimization of neural networks

G Beliakov

(2002), pp. 719-725, Intelligent systems for information processing : from representation to applications, France, E1

conference

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

conference
2001

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

journal

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

journal

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

journal

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

conference

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

conference

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

conference

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

conference

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

conference

Global optimisation of neural networks using a deterministic hybrid approach

G Beliakov, A Abraham

(2001), pp. 79-92, Hybrid information systems, Adelaide, E1

conference

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

journal
2000

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

conference

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

journal

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

journal
1998

Analysis of inhomogeneous optical systems by the use of ray tracing. II. Three-dimensional systems with symmetry

G Beliakov, D Chan

(1998), Vol. 37, pp. 5106-5111, Applied optics, [New York, N.Y.], C1-1

journal
1997

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

journal

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

Supervisions

Principal Supervisor
2014

Timothy Alan Wilkin

Thesis entitled: Weakly Monotonic Averaging with Application to Image Processing

Doctor of Philosophy (Information Technology), School of Information Technology

2011

Simon James

Thesis entitled: The Use of Aggregation in Decision Making

Doctor of Philosophy (Information Technology), School of Information Technology

2006

Stephen Robert Buckley

Thesis entitled: Planar Waveguide Refractive Index Profile Reconstruction using Global Optimization

Master of Science (Information Technology), School of Information Technology

Associate Supervisor
2017

Shigang Liu

Thesis entitled: Deficient Data Classification with Fuzzy Learning

Doctor of Philosophy (Information Technology), School of Information Technology

2016

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

2014

Huy Vu

Thesis entitled: Preference Mining Techniques for Consumer Behavior Analysis

Doctor of Philosophy (Information Technology), School of Information Technology