On the interpretation of certainty factors in expert systems. - G. P. Amata Cruz; Gleb Beliakov (Artif. Intell. Medicine, 1996)

Fuzzy gating and the problem of screening. - G. P. Amata Cruz; Gleb Beliakov (Artif. Intell. Medicine, 1996)

Fuzzy Sets and Membership Functions Based on Probabilities. - Gleb Beliakov (Inf. Sci., 1996)

Chronic Disease Coordinated Care Planning: Flexible, Task-Centered Decision Support. - James R. Warren; Gleb Beliakov; Joseph T. Noone; Heath K. Frankel (HICSS, 1999)

Fuzzy Logic in Clinical Practice Decision Support Systems. - James R. Warren; Gleb Beliakov; Berend-Jan van der Zwaag (HICSS, 2000)

Method of Ideal Solution in Fuzzy Set Theory and Multicriteria Decision Making. - Gleb Beliakov (PRICAI, 2000)

Definition of general aggregation operators through similarity relations. - Gleb Beliakov (Fuzzy Sets Syst., 2000)

Methods of Construction of OWA Operations From Data. - Gleb Beliakov (FUZZ-IEEE, 2001)

Fuzzy Clustering of Non-convex Patterns Using Global Optimisation. - Gleb Beliakov (FUZZ-IEEE, 2001)

Global Optimisation of Neural Networks Using a Deterministic Hybrid Approach. - Gleb Beliakov; Ajith Abraham (HIS, 2001)

Fuzzy logic for decision support in chronic care. - Gleb Beliakov; James R. Warren (Artif. Intell. Medicine, 2001)

Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra in Fuzzy Sets and Systems 113 (2000) 389-396. - Gleb Beliakov (Fuzzy Sets Syst., 2001)

Mixed-initiative Decision Support for Care Planning Based on Clinical Practice Guidelines. - Gleb Beliakov; James R. Warren; Joseph T. Noone (J. Decis. Syst., 2001)

Appropriate choice of aggregation operators in fuzzy decision support systems. - Gleb Beliakov; Jim Warren (IEEE Trans. Fuzzy Syst., 2001)

Monotone Approximation of Aggregation Operators Using Least Squares Splines. - Gleb Beliakov (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2002)

Fast Algorithm for the Cutting Angle Method of Global Optimization. - Lynn Margaret Batten; Gleb Beliakov (J. Glob. Optim., 2002)

Parallelization of the Discrete Gradient Method of Non-smooth Optimization and Its Applications. - Gleb Beliakov; J. E. Monsalve Tobon; Adil M. Bagirov (International Conference on Computational Science, 2003)

A New Method for Locating the Global Optimum: Application of the Cutting Angle Method to Molecular Structure Prediction. - Kieran F. Lim; Gleb Beliakov; Lynn Margaret Batten (International Conference on Computational Science, 2003)

How to build aggregation operators from data. - Gleb Beliakov (Int. J. Intell. Syst., 2003)

Least squares splines with free knots: global optimization approach. - Gleb Beliakov (Appl. Math. Comput., 2004)

Fitting Generated Aggregation Operators To Empirical Data. - Gleb Beliakov; Radko Mesiar; Lubica Valásková (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2004)

Cutting angle method - a tool for constrained global optimization. - Gleb Beliakov (Optim. Methods Softw., 2004)

Identification of General Aggregation Operators by Lipschitz Approximation. - Gleb Beliakov (Artificial Intelligence and Applications, 2005)

Fuzzy C-Means Density based Clustering using Data Induced Metric. - Gleb Beliakov; Matthew King (Artificial Intelligence and Applications, 2005)

Identification of general and double aggregation operators using monotone smoothing. - Gleb Beliakov; Tomasa Calvo (EUSFLAT Conf., 2005)

Class library ranlip for multivariate nonuniform random variate generation. - Gleb Beliakov (Comput. Phys. Commun., 2005)

Learning Weights in the Generalized OWA Operators. - Gleb Beliakov (Fuzzy Optim. Decis. Mak., 2005)

Universal nonuniform random vector generator based on acceptance-rejection. - Gleb Beliakov (ACM Trans. Model. Comput. Simul., 2005)

Density based fuzzy C. - Gleb Beliakov; Matthew King (Eur. J. Oper. Res., 2006)

Aggregation Functions: A Guide for Practitioners - Gleb Beliakov; Ana Pradera; Tomasa Calvo (Springer, 2007)

Construction of Aggregation Operators that Preserve Ordering of the Data. - Gleb Beliakov; Tomasa Calvo (EUSFLAT Conf. (1), 2007)

Fitting ST-OWA Operators to Empirical Data. - Gleb Beliakov; Luigi Troiano (EUSFLAT Conf. (1), 2007)

Challenges of continuous global optimization in molecular structure prediction. - Gleb Beliakov; Kieran F. Lim (Eur. J. Oper. Res., 2007)

Handling of neutral information by aggregation operators. - Gleb Beliakov; Tomasa Calvo; Ana Pradera (Fuzzy Sets Syst., 2007)

Absorbent tuples of aggregation operators. - Gleb Beliakov; Tomasa Calvo; Ana Pradera (Fuzzy Sets Syst., 2007)

Pointwise Construction of Lipschitz Aggregation Operators with Specific Properties. - Gleb Beliakov; Tomasa Calvo; Jesús Lázaro 003 (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2007)

Smoothing Lipschitz functions. - Gleb Beliakov (Optim. Methods Softw., 2007)

Construction of Aggregation Operators With Noble Reinforcement. - Gleb Beliakov; Tomasa Calvo (IEEE Trans. Fuzzy Syst., 2007)

Guest Editorial Foreword to the Special Issue on Aggregation Operators. - Gleb Beliakov; Tomasa Calvo; Radko Mesiar (IEEE Trans. Fuzzy Syst., 2007)

Fitting fuzzy measures by linear programming. Programming library fmtools. - Gleb Beliakov (FUZZ-IEEE, 2008)

Using Choquet integrals for kNN approximation and classification. - Gleb Beliakov; Simon James (FUZZ-IEEE, 2008)

Texture recognition by using GLCM and various aggregation functions. - Gleb Beliakov; Simon James; Luigi Troiano (FUZZ-IEEE, 2008)

Interpolatory Type Construction of General Aggregation Operators. - Gleb Beliakov; Tomasa Calvo (Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, 2008)

Identification of Weights in Aggregation Operators. - Tomasa Calvo; Gleb Beliakov (Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, 2008)

Some Results on Lipschitz Quasi-Arithmetic Means. - Gleb Beliakov; Tomasa Calvo; Simon James (IFSA/EUSFLAT Conf., 2009)

Construction of aggregation functions from data using linear programming. - Gleb Beliakov (Fuzzy Sets Syst., 2009)

Construction of k -Lipschitz Triangular Norms and Conorms From Empirical Data. - Gleb Beliakov; Tomasa Calvo (IEEE Trans. Fuzzy Syst., 2009)

Global Optimization: Cutting Angle Method. - Adil M. Bagirov; Gleb Beliakov (Encyclopedia of Optimization, 2009)

Image reduction with local reduction operators. - Daniel Paternain; Humberto Bustince Sola; Javier Fernández 002; Gleb Beliakov; Radko Mesiar (FUZZ-IEEE, 2010)

Some Averaging Functions in Image Reduction. - Daniel Paternain; Humberto Bustince Sola; Javier Fernández 002; Gleb Beliakov; Radko Mesiar (IEA/AIE (3), 2010)

A construction method of Atanassov's intuitionistic fuzzy sets for image processing. - Aranzazu Jurio; Daniel Paternain; Humberto Bustince Sola; Carlos Guerra; Gleb Beliakov (IEEE Conf. of Intelligent Systems, 2010)

On Lipschitz properties of generated aggregation functions. - Gleb Beliakov; Tomasa Calvo; Simon James (Fuzzy Sets Syst., 2010)

Generalized Bonferroni mean operators in multi-criteria aggregation. - Gleb Beliakov; Simon James; Juliana Mordelová; Tatiana Rückschlossová; Ronald R. Yager (Fuzzy Sets Syst., 2010)

Aggregation functions based on penalties. - Tomasa Calvo; Gleb Beliakov (Fuzzy Sets Syst., 2010)

Bounded lower subdifferentiability optimization techniques: applications. - Gleb Beliakov; Alberto Ferrer 002 (J. Glob. Optim., 2010)

OWA Operators in Regression Problems. - Ronald R. Yager; Gleb Beliakov (IEEE Trans. Fuzzy Syst., 2010)

Optimization and Aggregation Functions. - Gleb Beliakov (Fuzzy Optimization, 2010)

A Characterization Theorem for t-Representable n-Dimensional Triangular Norms. - Benjamín R. C. Bedregal; Gleb Beliakov; Humberto Bustince; Tomasa Calvo; Javier Fernández 002; Radko Mesiar (Eurofuse, 2011)

Color Image Magnification with Interval-Valued Fuzzy Sets. - Aranzazu Jurio; Miguel Pagola; Humberto Bustince; Gleb Beliakov (Eurofuse, 2011)

Image Reduction Using Fuzzy Quantifiers. - Daniel Paternain; Carlos Lopez-Molina; Humberto Bustince; Radko Mesiar; Gleb Beliakov (Eurofuse, 2011)

Restricted dissimilarity functions and penalty functions. - Humberto Bustince; Javier Fernández 002; Radko Mesiar; Ana Pradera; Gleb Beliakov (EUSFLAT Conf., 2011)

One Image Reduction Algorithm for RGB Color Images. - Daniel Paternain; Aranzazu Jurio; Miguel Pagola; Humberto Bustince; Gleb Beliakov (EUSFLAT Conf., 2011)

Non-monotone averaging aggregation. - Gleb Beliakov; Shui Yu 001; Daniel Paternain (FUZZ-IEEE, 2011)

Brain MRI thresholding using incomparability and overlap functions. - Daniel Paternain; Miguel Pagola; Javier Fernández 002; Radko Mesiar; Gleb Beliakov; Humberto Bustince Sola (ISDA, 2011)

Representing images by means of interval-valued fuzzy sets. Application to stereo matching. - Mikel Galar; Edurne Barrenechea; Javier Fernández 002; Humberto Bustince; Gleb Beliakov (T2FUZZ, 2011)

A construction method of interval-valued Fuzzy Sets for image processing. - Aranzazu Jurio; Daniel Paternain; Carlos Lopez-Molina; Humberto Bustince; Radko Mesiar; Gleb Beliakov (T2FUZZ, 2011)

Parallel calculation of the median and order statistics on GPUs with application to robust regression - Gleb Beliakov (CoRR, 2011)

Robust artificial neural networks and outlier detection. Technical report - Gleb Beliakov; Andrei V. Kelarev; John Yearwood (CoRR, 2011)

Citation-based journal ranks: The use of fuzzy measures. - Gleb Beliakov; Simon James (Fuzzy Sets Syst., 2011)

The median and its extensions. - Gleb Beliakov; Humberto Bustince Sola; Javier Fernández 002 (Fuzzy Sets Syst., 2011)

On averaging operators for Atanassov's intuitionistic fuzzy sets. - Gleb Beliakov; Humberto Bustince Sola; D. P. Goswami; U. K. Mukherjee; Nikhil R. Pal (Inf. Sci., 2011)

Learning Choquet-Integral-Based Metrics for Semisupervised Clustering. - Gleb Beliakov; Simon James; Gang Li 009 (IEEE Trans. Fuzzy Syst., 2011)

Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images. - Mikel Galar; Javier Fernández 002; Gleb Beliakov; Humberto Bustince Sola (IEEE Trans. Image Process., 2011)

Image Magnification Using Interval Information. - Aranzazu Jurio; Miguel Pagola; Radko Mesiar; Gleb Beliakov; Humberto Bustince Sola (IEEE Trans. Image Process., 2011)

Aggregation of Preferences in Recommender Systems. - Gleb Beliakov; Tomasa Calvo; Simon James (Recommender Systems Handbook, 2011)

On Penalty-Based Aggregation Functions and Consensus. - Gleb Beliakov; Tomasa Calvo; Simon James (Consensual Processes, 2011)

Induced Ordered Weighted Averaging Operators. - Gleb Beliakov; Simon James (Recent Developments in the Ordered Weighted Averaging Operators, 2011)

Defining Bonferroni means over lattices. - Gleb Beliakov; Simon James (FUZZ-IEEE, 2012)

Color image reduction by minimizing penalty functions. - Daniel Paternain; Aranzazu Jurio; Gleb Beliakov (FUZZ-IEEE, 2012)

A fuzzy decision support method for customer preferences analysis based on Choquet Integral. - Huy Quan Vu; Gang Li 009; Gleb Beliakov (FUZZ-IEEE, 2012)

Negations Generated by Bounded Lattices t-Norms. - Benjamín R. C. Bedregal; Gleb Beliakov; Humberto Bustince Sola; Javier Fernández 002; Ana Pradera; Renata Hax Sander Reiser (IPMU (3), 2012)

Using Linear Programming for Weights Identification of Generalized Bonferroni Means in R. - Gleb Beliakov; Simon James (MDAI, 2012)

Computing of high breakdown regression estimators without sorting on graphics processing units. - Gleb Beliakov; Michael Johnstone; Saeid Nahavandi (Computing, 2012)

Parallel random variates generator for GPUs based on normal numbers - Gleb Beliakov; Michael Johnstone; Douglas C. Creighton; Tim Wilkin 001 (CoRR, 2012)

Aggregation functions and contradictory information. - Ana Pradera; Gleb Beliakov; Humberto Bustince Sola (Fuzzy Sets Syst., 2012)

A class of fuzzy multisets with a fixed number of memberships. - Benjamín R. C. Bedregal; Gleb Beliakov; Humberto Bustince Sola; Tomasa Calvo; Radko Mesiar; Daniel Paternain (Inf. Sci., 2012)

Application of Rank Correlation, Clustering and Classification in Information Security. - Gleb Beliakov; John Yearwood; Andrei V. Kelarev (J. Networks, 2012)

Improving the speed and stability of the k-nearest neighbors method. - Gleb Beliakov; Gang Li 009 (Pattern Recognit. Lett., 2012)

Aggregation for Atanassov's Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator. - Gleb Beliakov; Humberto Bustince Sola; Simon James; Tomasa Calvo; Javier Fernández 002 (IEEE Trans. Fuzzy Syst., 2012)

Image Reduction Using Means on Discrete Product Lattices. - Gleb Beliakov; Humberto Bustince Sola; Daniel Paternain (IEEE Trans. Image Process., 2012)

K-Complex Detection Using a Hybrid-Synergic Machine Learning Method. - Huy Quan Vu; Gang Li 009; Nadezda Sukhorukova; Gleb Beliakov; Shaowu Liu; Carole Philippe; Hélène Amiel; Adrien Ugon (IEEE Trans. Syst. Man Cybern. Part C, 2012)

Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling. - Daniel Paternain; Aranzazu Jurio; Radko Mesiar; Gleb Beliakov; Humberto Bustince (AGOP, 2013)

On the use of restricted dissimilarity and dissimilarity-like functions for defining penalty functions. - Gleb Beliakov; Humberto Bustince; Javier Fernández 002; Radko Mesiar; Ana Pradera (EUSFLAT Conf., 2013)

A Generalization of the Bonferroni Mean based on partitions. - Gleb Beliakov; Simon James; Radko Mesiar (FUZZ-IEEE, 2013)

Aggregating fuzzy implications to measure group consensus. - Gleb Beliakov; Simon James; Tomasa Calvo (IFSA/NAFIPS, 2013)

Learning aggregation weights from 3-tuple comparison sets. - Gleb Beliakov; Simon James; Dale Nimmo (IFSA/NAFIPS, 2013)

An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units. - Gleb Beliakov; Michael Johnstone; Douglas C. Creighton; Tim Wilkin 001 (Computing, 2013)

A Parallel Algorithm for Calculation of Large Determinants with High Accuracy for GPUs and MPI clusters. - Gleb Beliakov; Yuri V. Matiyasevich (CoRR, 2013)

Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers. - Gleb Beliakov; Douglas C. Creighton; Michael Johnstone; Tim Wilkin 001 (Comput. Phys. Commun., 2013)

Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. - Humberto Bustince Sola; Aranzazu Jurio; Ana Pradera; Radko Mesiar; Gleb Beliakov (Eur. J. Oper. Res., 2013)

On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. - Gleb Beliakov; Simon James (Fuzzy Sets Syst., 2013)

Stability of weighted penalty-based aggregation functions. - Gleb Beliakov; Simon James (Fuzzy Sets Syst., 2013)

Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge. - Nikhil R. Pal; Humberto Bustince Sola; Miguel Pagola; U. K. Mukherjee; D. P. Goswami; Gleb Beliakov (Inf. Sci., 2013)

Global non-smooth optimization in robust multivariate regression. - Gleb Beliakov; Andrei V. Kelarev (Optim. Methods Softw., 2013)

Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs. - Gleb Beliakov; Simon James (FUZZ-IEEE, 2014)

Can indices of ecological evenness be used to measure consensus? - Gleb Beliakov; Simon James; Dale Nimmo (FUZZ-IEEE, 2014)

Fuzzy measures of pixel cluster compactness. - Gleb Beliakov; Gang Li 009; Huy Quan Vu; Tim Wilkin 001 (FUZZ-IEEE, 2014)

Weakly Monotone Averaging Functions. - Tim Wilkin 001; Gleb Beliakov; Tomasa Calvo (IPMU (3), 2014)

Single-Preference Consensus Measures Based on Models of Ecological Evenness. - Gleb Beliakov; Simon James; Laura Smith (MDAI, 2014)

On fast matrix-vector multiplication with a Hankel matrix in multiprecision arithmetics. - Gleb Beliakov (CoRR, 2014)

Weakly monotone averaging functions. - Tim Wilkin 001; Gleb Beliakov (CoRR, 2014)

Consistency and stability in aggregation operators: An application to missing data problems. - Daniel Gómez 001; Karina Rojas; Javier Montero; Juan Tinguaro Rodríguez; Gleb Beliakov (Int. J. Comput. Intell. Syst., 2014)

Consensus in multi-expert decision making problems using penalty functions defined over a Cartesian product of lattices. - Humberto Bustince Sola; Edurne Barrenechea Tartas; Tomasa Calvo; Simon James; Gleb Beliakov (Inf. Fusion, 2014)

Vector valued similarity measures for Atanassov's intuitionistic fuzzy sets. - Gleb Beliakov; Miguel Pagola; Tim Wilkin 001 (Inf. Sci., 2014)

On some properties of weighted averaging with variable weights. - Gleb Beliakov; Tim Wilkin 001 (Inf. Sci., 2014)

Iterative Construction of Hierarchical Classifiers for Phishing Website Detection. - Jemal H. Abawajy; Gleb Beliakov; Andrei V. Kelarev; Morshed U. Chowdhury (J. Networks, 2014)

Consensus measures constructed from aggregation functions and fuzzy implications. - Gleb Beliakov; Tomasa Calvo; Simon James (Knowl. Based Syst., 2014)

Three types of monotonicity of averaging functions. - Gleb Beliakov; Tomasa Calvo; Tim Wilkin 001 (Knowl. Based Syst., 2014)

A penalty-based aggregation operator for non-convex intervals. - Gleb Beliakov; Simon James (Knowl. Based Syst., 2014)

Strong Fuzzy Subsethood Measures and Strong Equalities Via Implication Functions. - Daniel Paternain; Humberto Bustince; Javier Fernández 002; José Antonio Sanz 001; Michal Baczynski 001; Gleb Beliakov; Radko Mesiar (J. Multiple Valued Log. Soft Comput., 2014)

Learning Stable Weights for Data of Varying Dimension. - Gleb Beliakov; Simon James; Daniel Gómez 001; Juan Tinguaro Rodríguez; Javier Montero (AGOP, 2015)

Biased experts and similarity based weights in preferences aggregation. - Gleb Beliakov; Simon James; Laura Smith; Tim Wilkin 001 (IFSA-EUSFLAT, 2015)

Construction and aggregation of preference relations based on fuzzy partial orders. - Gleb Beliakov; Simon James; Tim Wilkin 001 (FUZZ-IEEE, 2015)

Unifying approaches to consensus across different preference representations. - Gleb Beliakov; Simon James (Appl. Soft Comput., 2015)

Approximation of Riemann's Zeta Function by Finite Dirichlet Series: A Multiprecision Numerical Approach. - Gleb Beliakov; Yuri V. Matiyasevich (Exp. Math., 2015)

Construction of image reduction operators using averaging aggregation functions. - Daniel Paternain; Javier Fernández 002; Humberto Bustince Sola; Radko Mesiar; Gleb Beliakov (Fuzzy Sets Syst., 2015)

Weakly Monotonic Averaging Functions. - Tim Wilkin 001; Gleb Beliakov (Int. J. Intell. Syst., 2015)

On the weak monotonicity of Gini means and other mixture functions. - Gleb Beliakov; Tomasa Calvo; Tim Wilkin 001 (Inf. Sci., 2015)

Using aggregation functions to model human judgements of species diversity. - Gleb Beliakov; Simon James; Dale Nimmo (Inf. Sci., 2015)

Solving DC programs using the cutting angle method. - Alberto Ferrer 002; Adil M. Bagirov; Gleb Beliakov (J. Glob. Optim., 2015)

Robust Histogram Shape-Based Method for Image Watermarking. - Tianrui Zong; Yong Xiang 001; Iynkaran Natgunanathan; Song Guo 001; Wanlei Zhou 001; Gleb Beliakov (IEEE Trans. Circuits Syst. Video Technol., 2015)

Characterizing Compactness of Geometrical Clusters Using Fuzzy Measures. - Gleb Beliakov; Gang Li 009; Huy Quan Vu; Tim Wilkin 001 (IEEE Trans. Fuzzy Syst., 2015)

Aggregation Functions for Recommender Systems. - Gleb Beliakov; Tomasa Calvo; Simon James (Recommender Systems Handbook, 2015)

Robust OWA-based aggregation for data with outliers. - Gleb Beliakov; Simon James; Tim Wilkin 001; Tomasa Calvo (FUZZ-IEEE, 2016)

Fitting Aggregation Functions to Data: Part I - Linearization and Regularization. - Maciej Bartoszuk; Gleb Beliakov; Marek Gagolewski; Simon James (IPMU (2), 2016)

Fitting Aggregation Functions to Data: Part II - Idempotization. - Maciej Bartoszuk; Gleb Beliakov; Marek Gagolewski; Simon James (IPMU (2), 2016)

Linear Optimization for Ecological Indices Based on Aggregation Functions. - Gleb Beliakov; Andrew Geschke; Simon James; Dale Nimmo (IPMU (2), 2016)

Protection of Privacy in Biometric Data. - Iynkaran Natgunanathan; Abid Mehmood; Yong Xiang 001; Gleb Beliakov; John Yearwood (IEEE Access, 2016)

Weak monotonicity of Lehmer and Gini means. - Gleb Beliakov; Jana Spirková (Fuzzy Sets Syst., 2016)

Penalty-Based and Other Representations of Economic Inequality. - Gleb Beliakov; Marek Gagolewski; Simon James (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2016)

Extension of bivariate means to weighted means of several arguments by using binary trees. - Gleb Beliakov; Jozo Dujmovic (Inf. Sci., 2016)

A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. - Ana Pradera; Gleb Beliakov; Humberto Bustince; Bernard De Baets (Inf. Sci., 2016)

On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. - Shaun Bangay; Gleb Beliakov (Numer. Linear Algebra Appl., 2016)

A Practical Guide to Averaging Functions - Gleb Beliakov; Humberto Bustince Sola; Tomasa Calvo (Springer, 2016)

Directional and Ordered Directional Monotonicity of Mixture Functions. - Jana Spirková; Gleb Beliakov; Humberto Bustince; Javier Fernández 002 (AGOP, 2017)

Robust image denoising and smoothing with generalised spatial-tonal averages. - Tim Wilkin 001; Gleb Beliakov (FUZZ-IEEE, 2017)

Aggregation and consensus for preference relations based on fuzzy partial orders. - Gleb Beliakov; Simon James; Tim Wilkin 001 (Fuzzy Optim. Decis. Mak., 2017)

Approaches to learning strictly-stable weights for data with missing values. - Gleb Beliakov; Daniel Gómez 001; Simon James; Javier Montero; Juan Tinguaro Rodríguez (Fuzzy Sets Syst., 2017)

On the definition of penalty functions in data aggregation. - Humberto Bustince; Gleb Beliakov; Graçaliz Pereira Dimuro; Benjamín R. C. Bedregal; Radko Mesiar (Fuzzy Sets Syst., 2017)

Idempotent Weighted Aggregation Based on Binary Aggregation Trees. - Jozo Dujmovic; Gleb Beliakov (Int. J. Intell. Syst., 2017)

Implicit averaging functions. - Gleb Beliakov; Tomasa Calvo; Pilar Fuster-Parra (Inf. Sci., 2017)

Patchwork-Based Multilayer Audio Watermarking. - Iynkaran Natgunanathan; Yong Xiang 001; Guang Hua 001; Gleb Beliakov; John Yearwood (IEEE ACM Trans. Audio Speech Lang. Process., 2017)

Least Median of Squares (LMS) and Least Trimmed Squares (LTS) Fitting for the Weighted Arithmetic Mean. - Gleb Beliakov; Marek Gagolewski; Simon James (IPMU (2), 2018)

Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis. - Gleb Beliakov; Gita Das; Huy Quan Vu; Tim Wilkin 001; Yong Xiang 001 (IEEE Access, 2018)

Measuring traffic congestion: An approach based on learning weighted inequality, spread and aggregation indices from comparison data. - Gleb Beliakov; Marek Gagolewski; Simon James; Shannon Pace; Nicola Pastorello; Elodie Thilliez; Rajesh Vasa (Appl. Soft Comput., 2018)

Comparing Apples and Oranges: The Weighted OWA Function. - Gleb Beliakov (Int. J. Intell. Syst., 2018)

A new type of fuzzy integrals for decision making based on bivariate symmetric means. - Gleb Beliakov (Int. J. Intell. Syst., 2018)

Nonadditivity index and capacity identification method in the context of multicriteria decision making. - Jian-Zhang Wu 001; Gleb Beliakov (Inf. Sci., 2018)

Robustifying OWA Operators for Aggregating Data With Outliers. - Gleb Beliakov; Simon James; Tim Wilkin 001; Tomasa Calvo (IEEE Trans. Fuzzy Syst., 2018)

The Mode of Interval-Valued Data. - Tim Wilkin 001; Gleb Beliakov (FUZZ-IEEE, 2019)

Pre-adjustment Based Anti-collusion Mechanism for Audio Signals. - Juan Zhao 007; Tianrui Zong; Yong Xiang 001; Longxiang Gao; Gleb Beliakov (NSS, 2019)

IEEE Access Special Section Editorial: Data Mining and Granular Computing in Big Data and Knowledge Processing. - Weiping Ding 001; Gary G. Yen; Gleb Beliakov; Isaac Triguero; Mahardhika Pratama; Xiangliang Zhang 001; Hongjun Li (IEEE Access, 2019)

Matrix Representation of Capacity-Based Multicriteria Decision Analysis. - Rui-Jie Xi; Jianzhang Wu 001; Gleb Beliakov (IEEE Access, 2019)

Density-based clustering using approximate natural neighbours. - Maia Angelova; Gleb Beliakov; Ye Zhu 002 (Appl. Soft Comput., 2019)

Fitting Sugeno integral for learning fuzzy measures using PAVA isotone regression. - Gleb Beliakov; Dmitry V. Divakov (Int. J. Intell. Syst., 2019)

Probabilistic bipartition interaction index of multiple decision criteria associated with the nonadditivity of fuzzy measures. - Jian-Zhang Wu 001; Gleb Beliakov (Int. J. Intell. Syst., 2019)

Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming. - Jian-Zhang Wu 001; Gleb Beliakov (Int. J. Intell. Syst., 2019)

Aggregation on ordinal scales with the Sugeno integral for biomedical applications. - Gleb Beliakov; Marek Gagolewski; Simon James (Inf. Sci., 2019)

Learning fuzzy measures from data: Simplifications and optimisation strategies. - Gleb Beliakov; Jian-Zhang Wu 001 (Inf. Sci., 2019)

Mixture functions and their monotonicity. - Jana Spirková; Gleb Beliakov; Humberto Bustince; Javier Fernández 002 (Inf. Sci., 2019)

Nonmodularity index for capacity identifying with multiple criteria preference information. - Jian-Zhang Wu 001; Gleb Beliakov (Inf. Sci., 2019)

k-minitive capacities and k-minitive aggregation functions. - Jian-Zhang Wu 001; Gleb Beliakov (J. Intell. Fuzzy Syst., 2019)

Supervised Learning to Aggregate Data With the Sugeno Integral. - Marek Gagolewski; Simon James; Gleb Beliakov (IEEE Trans. Fuzzy Syst., 2019)

Robust Blockchain-Based Cross-Platform Audio Copyright Protection System Using Content-Based Fingerprint. - Juan Zhao 007; Tianrui Zong; Yong Xiang 001; Longxiang Gao; Gleb Beliakov (WISE (2), 2020)

On the extended set of weights of the OWA functions. - Gleb Beliakov; Jana Spirková; Tomasa Calvo (Int. J. Gen. Syst., 2020)

The axiomatic characterisations of non-modularity index. - Gleb Beliakov; Jian-Zhang Wu 001 (Int. J. Gen. Syst., 2020)

Density estimates on the unit simplex and calculation of the mode of a sample. - Maia Angelova; Gleb Beliakov; Sergiy Shelyag; Ye Zhu 002 (Int. J. Intell. Syst., 2020)

Marginal contribution representation of capacity-based multicriteria decision making. - Jian-Zhang Wu 001; Gleb Beliakov (Int. J. Intell. Syst., 2020)

Robust fitting for the Sugeno integral with respect to general fuzzy measures. - Gleb Beliakov; Marek Gagolewski; Simon James (Inf. Sci., 2020)

Multicriteria correlation preference information (MCCPI) with nonadditivity index for decision aiding. - Li Huang; Jian-Zhang Wu 001; Gleb Beliakov (J. Intell. Fuzzy Syst., 2020)

k-order representative capacity. - Jian-Zhang Wu 001; Gleb Beliakov (J. Intell. Fuzzy Syst., 2020)

On representation of fuzzy measures for learning Choquet and Sugeno integrals. - Gleb Beliakov; Dmitry V. Divakov (Knowl. Based Syst., 2020)

Towards sophisticated decision models: Nonadditive robust ordinal regression for preference modeling. - Gleb Beliakov; Jian-Zhang Wu 001; Dmitry V. Divakov (Knowl. Based Syst., 2020)

Discrete Fuzzy Measures - Computational Aspects - Gleb Beliakov; Simon James; Jian-Zhang Wu 001 (Springer, 2020)

Global stability and periodicity in a glucose-insulin regulation model with a single delay. - Maia Angelova; Gleb Beliakov; Anatoli F. Ivanov; Sergiy Shelyag (Commun. Nonlinear Sci. Numer. Simul., 2021)

Learning k-maxitive fuzzy measures from data by mixed integer programming. - Gleb Beliakov; Jian-Zhang Wu 001 (Fuzzy Sets Syst., 2021)

Cardinality-limiting extended pre-aggregation functions. - Gleb Beliakov; Simon James; Anna Kolesárová; Radko Mesiar (Inf. Fusion, 2021)

On the derivatives of set functions in matrix representation. - Gleb Beliakov (Inf. Sci., 2021)

Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures. - Gleb Beliakov; Simon James (Inf. Sci., 2021)

Random generation of capacities and its application in comprehensive decision aiding. - Gleb Beliakov; Jian-Zhang Wu 001 (Inf. Sci., 2021)

Comprehensive nonmodularity and interaction indices for decision analysis. - Jianzhang Wu 001; Gleb Beliakov (J. Intell. Fuzzy Syst., 2021)

Desynchronization Attacks Resilient Watermarking Method Based on Frequency Singular Value Coefficient Modification. - Juan Zhao 007; Tianrui Zong; Yong Xiang 001; Longxiang Gao; Wanlei Zhou 001; Gleb Beliakov (IEEE ACM Trans. Audio Speech Lang. Process., 2021)

Optimising non-convex Choquet integrals using DC (difference of convex) algorithm. - Gleb Beliakov (FUZZ-IEEE, 2022)

Knapsack problems with dependencies through non-additive measures and Choquet integral. - Gleb Beliakov (Eur. J. Oper. Res., 2022)

Best-possible bounds on the set of copulas with a given value of Spearman's footrule. - Gleb Beliakov; Enrique de Amo; Juan Fernández-Sánchez; Manuel Úbeda-Flores (Fuzzy Sets Syst., 2022)

Correction: "Best-possible bounds on the set of copulas with a given value of Spearman's footrule" [Fuzzy Sets Syst. 428 (2022) 138-152]. - Gleb Beliakov; Enrique de Amo; Juan Fernández-Sánchez; Manuel Úbeda-Flores (Fuzzy Sets Syst., 2022)

Random generation of k-interactive capacities. - Gleb Beliakov; Francisco Javier Cabrerizo; Enrique Herrera-Viedma; Jian-Zhang Wu 001 (Fuzzy Sets Syst., 2022)

Aggregation with dependencies: Capacities and fuzzy integrals. - Gleb Beliakov; Dmitry V. Divakov (Fuzzy Sets Syst., 2022)

Hierarchical data fusion processes involving the Möbius representation of capacities. - Gleb Beliakov; Marek Gagolewski; Simon James (Fuzzy Sets Syst., 2022)

Reduction of variables and constraints in fitting antibuoyant fuzzy measures to data using linear programming. - Gleb Beliakov; Marek Gagolewski; Simon James (Fuzzy Sets Syst., 2022)

Robust aggregation of compositional and interval-valued data: The mode on the unit simplex. - Tim Wilkin 001; Gleb Beliakov (Fuzzy Sets Syst., 2022)

Choquet integral-based measures of economic welfare and species diversity. - Gleb Beliakov; Simon James (Int. J. Intell. Syst., 2022)

On Random Generation of Supermodular Capacities. - Gleb Beliakov (IEEE Trans. Fuzzy Syst., 2022)

Aggregation of Interacting Criteria in Land Combat Vehicle Selection by Using Fuzzy Measures. - Gleb Beliakov; Thang Cao; Vicky H. Mak-Hau (IEEE Trans. Fuzzy Syst., 2022)

A Brief Survey of Machine Learning and Deep Learning Techniques for E-Commerce Research. - Xue Zhang; Fusen Guo; Tao Chen; Lei Pan 002; Gleb Beliakov; Jianzhang Wu 001 (J. Theor. Appl. Electron. Commer. Res., 2023)

Frequency Spectrum Modification Process-Based Anti-Collusion Mechanism for Audio Signals. - Juan Zhao 007; Tianrui Zong; Yong Xiang 001; Guang Hua 001; Xinyu Lei; Longxiang Gao; Gleb Beliakov (IEEE Trans. Cybern., 2023)

Hierarchical clustering with OWA-based linkages, the Lance-Williams formula, and dendrogram inversions. - Marek Gagolewski; Anna Cena; Simon James; Gleb Beliakov (Fuzzy Sets Syst., 2023)

A Tractable Approach to Fitting the Choquet Integral for Explainable Prediction and Analysis. - Gleb Beliakov; Simon James; Jian-Zhang Wu 001; Marek Gagolewski (FUZZ, 2024)

Representation, optimization and generation of fuzzy measures. - Gleb Beliakov; Jianzhang Wu 001; Weiping Ding 001 (Inf. Fusion, 2024)

Axiomatic representations for nonadditivity and nonmodularity indices: describing interactions of fuzzy measures. - Jianzhang Wu 001; Xue Zhang; Gleb Beliakov (J. Intell. Fuzzy Syst., 2024)

Random generation of linearly constrained fuzzy measures and domain coverage performance evaluation. - Jianzhang Wu 001; Gleb Beliakov; Simon James; Marek Gagolewski (Inf. Sci., 2024)

Probabilistic study of Induced Ordered Linear Fusion Operators for time series forecasting. - Juan Baz; Mikel Ferrero-Jaurrieta; Irene Díaz; Susana Montes; Gleb Beliakov; Humberto Bustince (Inf. Fusion, 2024)

Discrete Choquet Integral Optimization With Positive and Negative Interactions. - Gleb Beliakov; Jianzhang Wu 001 (IEEE Trans. Fuzzy Syst., 2024)

Aggregation of Basic Uncertain Information With Two-Step Aggregation Frame. - LeSheng Jin; Zhen-Song Chen 002; Witold Pedrycz; Tapan Senapati; Boris Yatsalo; Radko Mesiar; Gleb Beliakov; Luis Martínez 001 (IEEE Trans. Emerg. Top. Comput. Intell., 2024)

An Efficient Algorithm for Sampling Fuzzy Measures. - Gleb Beliakov; Jianzhang Wu 001 (IEEE Trans. Fuzzy Syst., 2024)

Efficient random walks for generating random fuzzy measures in Möbius representation in large universe. - Gleb Beliakov; Juan Baz; Jian-Zhang Wu 001 (Comput. Appl. Math., 2024)

Efficient Monotonicity and Convexity Checks for Randomly Sampled Fuzzy Measures. - Gleb Beliakov; Simon James; Jianzhang Wu 001 (IEEE Trans. Fuzzy Syst., 2024)

Efficient methods for verifying monotonicity of 2-additive fuzzy measures. - Gleb Beliakov; Chaquen Beliakov Amaya (Comput. Appl. Math., 2025)

Multiobjective optimization by using cutting angle methods and hypervolume criterion. - Gleb Beliakov; Longxiang Gao; Yong Xiang 001; Wanlei Zhou 001 (Optim. Methods Softw., 2025)

A Fuzzy Measure and Choquet Integral-Based Approach in the Predictive Knowledge-Based Systems: Application to the Electricity Demand Forecasting. - M. Rostam Niakan Kalhori; Gleb Beliakov (IEEE Trans. Fuzzy Syst., 2025)

Efficient online generation of fuzzy measures via aggregation functions. - Xabier Gonzalez-Garcia; L'ubomíra Horanská; Gleb Beliakov; Humberto Bustince (Inf. Fusion, 2026)