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Gleb Beliakov
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- affiliation: Deakin University, School of Information Technology, Geelong, Australia
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Books and Theses
- 2020
- [b3]Gleb Beliakov, Simon James, Jian-Zhang Wu:
Discrete Fuzzy Measures - Computational Aspects. Studies in Fuzziness and Soft Computing 382, Springer 2020, ISBN 978-3-030-15304-5, pp. 1-239 - 2016
- [b2]Gleb Beliakov, Humberto Bustince Sola, Tomasa Calvo:
A Practical Guide to Averaging Functions. Studies in Fuzziness and Soft Computing 329, Springer 2016, ISBN 978-3-319-24751-9, pp. 1-345 - 2007
- [b1]Gleb Beliakov, Ana Pradera, Tomasa Calvo:
Aggregation Functions: A Guide for Practitioners. Studies in Fuzziness and Soft Computing 221, Springer 2007, ISBN 978-3-540-73720-9, pp. 1-304 [contents]
Journal Articles
- 2024
- [j140]Gleb Beliakov, Juan Baz, Jian-Zhang Wu:
Efficient random walks for generating random fuzzy measures in Möbius representation in large universe. Comput. Appl. Math. 43(8): 430 (2024) - [j139]Juan Baz, Mikel Ferrero-Jaurrieta, Irene Díaz, Susana Montes, Gleb Beliakov, Humberto Bustince:
Probabilistic study of Induced Ordered Linear Fusion Operators for time series forecasting. Inf. Fusion 103: 102093 (2024) - [j138]Gleb Beliakov, Jianzhang Wu, Weiping Ding:
Representation, optimization and generation of fuzzy measures. Inf. Fusion 106: 102295 (2024) - [j137]Jianzhang Wu, Gleb Beliakov, Simon James, Marek Gagolewski:
Random generation of linearly constrained fuzzy measures and domain coverage performance evaluation. Inf. Sci. 659: 120080 (2024) - [j136]Jianzhang Wu, Xue Zhang, Gleb Beliakov:
Axiomatic representations for nonadditivity and nonmodularity indices: describing interactions of fuzzy measures. J. Intell. Fuzzy Syst. 46(1): 1945-1956 (2024) - [j135]LeSheng Jin, Zhen-Song Chen, Witold Pedrycz, Tapan Senapati, Boris Yatsalo, Radko Mesiar, Gleb Beliakov, Luis Martínez:
Aggregation of Basic Uncertain Information With Two-Step Aggregation Frame. IEEE Trans. Emerg. Top. Comput. Intell. 8(2): 1102-1109 (2024) - [j134]Gleb Beliakov, Jianzhang Wu:
Discrete Choquet Integral Optimization With Positive and Negative Interactions. IEEE Trans. Fuzzy Syst. 32(3): 1159-1166 (2024) - [j133]Gleb Beliakov, Jianzhang Wu:
An Efficient Algorithm for Sampling Fuzzy Measures. IEEE Trans. Fuzzy Syst. 32(7): 4205-4208 (2024) - 2023
- [j132]Marek Gagolewski, Anna Cena, Simon James, Gleb Beliakov:
Hierarchical clustering with OWA-based linkages, the Lance-Williams formula, and dendrogram inversions. Fuzzy Sets Syst. 473: 108740 (2023) - [j131]Xue Zhang, Fusen Guo, Tao Chen, Lei Pan, Gleb Beliakov, Jianzhang Wu:
A Brief Survey of Machine Learning and Deep Learning Techniques for E-Commerce Research. J. Theor. Appl. Electron. Commer. Res. 18(4): 2188-2216 (2023) - [j130]Juan Zhao, Tianrui Zong, Yong Xiang, Guang Hua, Xinyu Lei, Longxiang Gao, Gleb Beliakov:
Frequency Spectrum Modification Process-Based Anti-Collusion Mechanism for Audio Signals. IEEE Trans. Cybern. 53(9): 5510-5522 (2023) - 2022
- [j129]Gleb Beliakov:
Knapsack problems with dependencies through non-additive measures and Choquet integral. Eur. J. Oper. Res. 301(1): 277-286 (2022) - [j128]Gleb Beliakov, Enrique de Amo, Juan Fernández-Sánchez, Manuel Úbeda-Flores:
Best-possible bounds on the set of copulas with a given value of Spearman's footrule. Fuzzy Sets Syst. 428: 138-152 (2022) - [j127]Gleb Beliakov, Enrique de Amo, Juan Fernández-Sánchez, Manuel Úbeda-Flores:
Correction: "Best-possible bounds on the set of copulas with a given value of Spearman's footrule" [Fuzzy Sets Syst. 428 (2022) 138-152]. Fuzzy Sets Syst. 428: 153-155 (2022) - [j126]Gleb Beliakov, Francisco Javier Cabrerizo, Enrique Herrera-Viedma, Jian-Zhang Wu:
Random generation of k-interactive capacities. Fuzzy Sets Syst. 430: 48-55 (2022) - [j125]Gleb Beliakov, Marek Gagolewski, Simon James:
Hierarchical data fusion processes involving the Möbius representation of capacities. Fuzzy Sets Syst. 433: 1-21 (2022) - [j124]Tim Wilkin, Gleb Beliakov:
Robust aggregation of compositional and interval-valued data: The mode on the unit simplex. Fuzzy Sets Syst. 446: 124-143 (2022) - [j123]Gleb Beliakov, Dmitry V. Divakov:
Aggregation with dependencies: Capacities and fuzzy integrals. Fuzzy Sets Syst. 446: 222-232 (2022) - [j122]Gleb Beliakov, Marek Gagolewski, Simon James:
Reduction of variables and constraints in fitting antibuoyant fuzzy measures to data using linear programming. Fuzzy Sets Syst. 451: 266-284 (2022) - [j121]Gleb Beliakov, Simon James:
Choquet integral-based measures of economic welfare and species diversity. Int. J. Intell. Syst. 37(4): 2849-2867 (2022) - [j120]Gleb Beliakov:
On Random Generation of Supermodular Capacities. IEEE Trans. Fuzzy Syst. 30(1): 293-296 (2022) - [j119]Gleb Beliakov, Thang Cao, Vicky H. Mak-Hau:
Aggregation of Interacting Criteria in Land Combat Vehicle Selection by Using Fuzzy Measures. IEEE Trans. Fuzzy Syst. 30(9): 3979-3989 (2022) - 2021
- [j118]Maia Angelova, Gleb Beliakov, Anatoli Ivanov, Sergiy Shelyag:
Global stability and periodicity in a glucose-insulin regulation model with a single delay. Commun. Nonlinear Sci. Numer. Simul. 95: 105659 (2021) - [j117]Gleb Beliakov, Jian-Zhang Wu:
Learning k-maxitive fuzzy measures from data by mixed integer programming. Fuzzy Sets Syst. 412: 41-52 (2021) - [j116]Gleb Beliakov, Simon James, Anna Kolesárová, Radko Mesiar:
Cardinality-limiting extended pre-aggregation functions. Inf. Fusion 76: 66-74 (2021) - [j115]Gleb Beliakov:
On the derivatives of set functions in matrix representation. Inf. Sci. 546: 469-480 (2021) - [j114]Gleb Beliakov, Jian-Zhang Wu:
Random generation of capacities and its application in comprehensive decision aiding. Inf. Sci. 577: 424-435 (2021) - [j113]Gleb Beliakov, Simon James:
Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures. Inf. Sci. 578: 22-36 (2021) - [j112]Jianzhang Wu, Gleb Beliakov:
Comprehensive nonmodularity and interaction indices for decision analysis. J. Intell. Fuzzy Syst. 40(6): 10671-10685 (2021) - [j111]Juan Zhao, Tianrui Zong, Yong Xiang, Longxiang Gao, Wanlei Zhou, Gleb Beliakov:
Desynchronization Attacks Resilient Watermarking Method Based on Frequency Singular Value Coefficient Modification. IEEE ACM Trans. Audio Speech Lang. Process. 29: 2282-2295 (2021) - 2020
- [j110]Gleb Beliakov, Jana Spirková, Tomasa Calvo:
On the extended set of weights of the OWA functions. Int. J. Gen. Syst. 49(4): 355-373 (2020) - [j109]Gleb Beliakov, Jian-Zhang Wu:
The axiomatic characterisations of non-modularity index. Int. J. Gen. Syst. 49(7): 675-688 (2020) - [j108]Jian-Zhang Wu, Gleb Beliakov:
Marginal contribution representation of capacity-based multicriteria decision making. Int. J. Intell. Syst. 35(3): 373-400 (2020) - [j107]Maia Angelova, Gleb Beliakov, Sergiy Shelyag, Ye Zhu:
Density estimates on the unit simplex and calculation of the mode of a sample. Int. J. Intell. Syst. 35(5): 850-868 (2020) - [j106]Gleb Beliakov, Marek Gagolewski, Simon James:
Robust fitting for the Sugeno integral with respect to general fuzzy measures. Inf. Sci. 514: 449-461 (2020) - [j105]Jian-Zhang Wu, Gleb Beliakov:
k-order representative capacity. J. Intell. Fuzzy Syst. 38(3): 3105-3115 (2020) - [j104]Li Huang, Jian-Zhang Wu, Gleb Beliakov:
Multicriteria correlation preference information (MCCPI) with nonadditivity index for decision aiding. J. Intell. Fuzzy Syst. 39(3): 3441-3452 (2020) - [j103]Gleb Beliakov, Dmitry V. Divakov:
On representation of fuzzy measures for learning Choquet and Sugeno integrals. Knowl. Based Syst. 189 (2020) - [j102]Gleb Beliakov, Jian-Zhang Wu, Dmitry V. Divakov:
Towards sophisticated decision models: Nonadditive robust ordinal regression for preference modeling. Knowl. Based Syst. 190: 105351 (2020) - 2019
- [j101]Weiping Ding, Gary G. Yen, Gleb Beliakov, Isaac Triguero, Mahardhika Pratama, Xiangliang Zhang, Hongjun Li:
IEEE Access Special Section Editorial: Data Mining and Granular Computing in Big Data and Knowledge Processing. IEEE Access 7: 47682-47686 (2019) - [j100]Rui-Jie Xi, Jianzhang Wu, Gleb Beliakov:
Matrix Representation of Capacity-Based Multicriteria Decision Analysis. IEEE Access 7: 185543-185553 (2019) - [j99]Maia Angelova, Gleb Beliakov, Ye Zhu:
Density-based clustering using approximate natural neighbours. Appl. Soft Comput. 85 (2019) - [j98]Jian-Zhang Wu, Gleb Beliakov:
Probabilistic bipartition interaction index of multiple decision criteria associated with the nonadditivity of fuzzy measures. Int. J. Intell. Syst. 34(2): 247-270 (2019) - [j97]Jian-Zhang Wu, Gleb Beliakov:
Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming. Int. J. Intell. Syst. 34(7): 1732-1752 (2019) - [j96]Gleb Beliakov, Dmitry V. Divakov:
Fitting Sugeno integral for learning fuzzy measures using PAVA isotone regression. Int. J. Intell. Syst. 34(11): 2863-2871 (2019) - [j95]Jana Spirková, Gleb Beliakov, Humberto Bustince, Javier Fernández:
Mixture functions and their monotonicity. Inf. Sci. 481: 520-549 (2019) - [j94]Jian-Zhang Wu, Gleb Beliakov:
Nonmodularity index for capacity identifying with multiple criteria preference information. Inf. Sci. 492: 164-180 (2019) - [j93]Gleb Beliakov, Jian-Zhang Wu:
Learning fuzzy measures from data: Simplifications and optimisation strategies. Inf. Sci. 494: 100-113 (2019) - [j92]Gleb Beliakov, Marek Gagolewski, Simon James:
Aggregation on ordinal scales with the Sugeno integral for biomedical applications. Inf. Sci. 501: 377-387 (2019) - [j91]Jian-Zhang Wu, Gleb Beliakov:
k-minitive capacities and k-minitive aggregation functions. J. Intell. Fuzzy Syst. 37(2): 2797-2808 (2019) - [j90]Marek Gagolewski, Simon James, Gleb Beliakov:
Supervised Learning to Aggregate Data With the Sugeno Integral. IEEE Trans. Fuzzy Syst. 27(4): 810-815 (2019) - 2018
- [j89]Gleb Beliakov, Gita Das, Huy Quan Vu, Tim Wilkin, Yong Xiang:
Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis. IEEE Access 6: 68403-68414 (2018) - [j88]Gleb Beliakov, Marek Gagolewski, Simon James, Shannon Pace, Nicola Pastorello, Elodie Thilliez, Rajesh Vasa:
Measuring traffic congestion: An approach based on learning weighted inequality, spread and aggregation indices from comparison data. Appl. Soft Comput. 67: 910-919 (2018) - [j87]Gleb Beliakov:
Comparing Apples and Oranges: The Weighted OWA Function. Int. J. Intell. Syst. 33(5): 1089-1108 (2018) - [j86]Gleb Beliakov:
A new type of fuzzy integrals for decision making based on bivariate symmetric means. Int. J. Intell. Syst. 33(8): 1660-1671 (2018) - [j85]Jian-Zhang Wu, Gleb Beliakov:
Nonadditivity index and capacity identification method in the context of multicriteria decision making. Inf. Sci. 467: 398-406 (2018) - [j84]Gleb Beliakov, Simon James, Tim Wilkin, Tomasa Calvo:
Robustifying OWA Operators for Aggregating Data With Outliers. IEEE Trans. Fuzzy Syst. 26(4): 1823-1832 (2018) - 2017
- [j83]Gleb Beliakov, Simon James, Tim Wilkin:
Aggregation and consensus for preference relations based on fuzzy partial orders. Fuzzy Optim. Decis. Mak. 16(4): 409-428 (2017) - [j82]Humberto Bustince, Gleb Beliakov, Graçaliz Pereira Dimuro, Benjamín R. C. Bedregal, Radko Mesiar:
On the definition of penalty functions in data aggregation. Fuzzy Sets Syst. 323: 1-18 (2017) - [j81]Gleb Beliakov, Daniel Gómez, Simon James, Javier Montero, Juan Tinguaro Rodríguez:
Approaches to learning strictly-stable weights for data with missing values. Fuzzy Sets Syst. 325: 97-113 (2017) - [j80]Jozo Dujmovic, Gleb Beliakov:
Idempotent Weighted Aggregation Based on Binary Aggregation Trees. Int. J. Intell. Syst. 32(1): 31-50 (2017) - [j79]Gleb Beliakov, Tomasa Calvo, Pilar Fuster-Parra:
Implicit averaging functions. Inf. Sci. 417: 96-112 (2017) - [j78]Iynkaran Natgunanathan, Yong Xiang, Guang Hua, Gleb Beliakov, John Yearwood:
Patchwork-Based Multilayer Audio Watermarking. IEEE ACM Trans. Audio Speech Lang. Process. 25(11): 2176-2187 (2017) - 2016
- [j77]Iynkaran Natgunanathan, Abid Mehmood, Yong Xiang, Gleb Beliakov, John Yearwood:
Protection of Privacy in Biometric Data. IEEE Access 4: 880-892 (2016) - [j76]Gleb Beliakov, Jana Spirková:
Weak monotonicity of Lehmer and Gini means. Fuzzy Sets Syst. 299: 26-40 (2016) - [j75]Gleb Beliakov, Marek Gagolewski, Simon James:
Penalty-Based and Other Representations of Economic Inequality. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 24(Supplement-1): 1-24 (2016) - [j74]Ana Pradera, Gleb Beliakov, Humberto Bustince, Bernard De Baets:
A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. Inf. Sci. 329: 357-380 (2016) - [j73]Gleb Beliakov, Jozo Dujmovic:
Extension of bivariate means to weighted means of several arguments by using binary trees. Inf. Sci. 331: 137-147 (2016) - [j72]Shaun Bangay, Gleb Beliakov:
On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. Numer. Linear Algebra Appl. 23(3): 485-500 (2016) - 2015
- [j71]Gleb Beliakov, Simon James:
Unifying approaches to consensus across different preference representations. Appl. Soft Comput. 35: 888-897 (2015) - [j70]Gleb Beliakov, Yuri V. Matiyasevich:
Approximation of Riemann's Zeta Function by Finite Dirichlet Series: A Multiprecision Numerical Approach. Exp. Math. 24(2): 150-161 (2015) - [j69]Daniel Paternain, Javier Fernández, Humberto Bustince Sola, Radko Mesiar, Gleb Beliakov:
Construction of image reduction operators using averaging aggregation functions. Fuzzy Sets Syst. 261: 87-111 (2015) - [j68]Tim Wilkin, Gleb Beliakov:
Weakly Monotonic Averaging Functions. Int. J. Intell. Syst. 30(2): 144-169 (2015) - [j67]Gleb Beliakov, Tomasa Calvo, Tim Wilkin:
On the weak monotonicity of Gini means and other mixture functions. Inf. Sci. 300: 70-84 (2015) - [j66]Gleb Beliakov, Simon James, Dale Nimmo:
Using aggregation functions to model human judgements of species diversity. Inf. Sci. 306: 21-33 (2015) - [j65]Alberto Ferrer, Adil M. Bagirov, Gleb Beliakov:
Solving DC programs using the cutting angle method. J. Glob. Optim. 61(1): 71-89 (2015) - [j64]Tianrui Zong, Yong Xiang, Iynkaran Natgunanathan, Song Guo, Wanlei Zhou, Gleb Beliakov:
Robust Histogram Shape-Based Method for Image Watermarking. IEEE Trans. Circuits Syst. Video Technol. 25(5): 717-729 (2015) - [j63]Gleb Beliakov, Gang Li, Huy Quan Vu, Tim Wilkin:
Characterizing Compactness of Geometrical Clusters Using Fuzzy Measures. IEEE Trans. Fuzzy Syst. 23(4): 1030-1043 (2015) - 2014
- [j62]Daniel Gómez, Karina Rojas, Javier Montero, Juan Tinguaro Rodríguez, Gleb Beliakov:
Consistency and stability in aggregation operators: An application to missing data problems. Int. J. Comput. Intell. Syst. 7(3): 595-604 (2014) - [j61]Humberto Bustince Sola, Edurne Barrenechea Tartas, Tomasa Calvo, Simon James, Gleb Beliakov:
Consensus in multi-expert decision making problems using penalty functions defined over a Cartesian product of lattices. Inf. Fusion 17: 56-64 (2014) - [j60]Gleb Beliakov, Miguel Pagola, Tim Wilkin:
Vector valued similarity measures for Atanassov's intuitionistic fuzzy sets. Inf. Sci. 280: 352-367 (2014) - [j59]Gleb Beliakov, Tim Wilkin:
On some properties of weighted averaging with variable weights. Inf. Sci. 281: 1-7 (2014) - [j58]Jemal H. Abawajy, Gleb Beliakov, Andrei V. Kelarev, Morshed U. Chowdhury:
Iterative Construction of Hierarchical Classifiers for Phishing Website Detection. J. Networks 9(8): 2089-2098 (2014) - [j57]Gleb Beliakov, Tomasa Calvo, Simon James:
Consensus measures constructed from aggregation functions and fuzzy implications. Knowl. Based Syst. 55: 1-8 (2014) - [j56]Gleb Beliakov, Simon James:
A penalty-based aggregation operator for non-convex intervals. Knowl. Based Syst. 70: 335-344 (2014) - [j55]Gleb Beliakov, Tomasa Calvo, Tim Wilkin:
Three types of monotonicity of averaging functions. Knowl. Based Syst. 72: 114-122 (2014) - [j54]Daniel Paternain, Humberto Bustince, Javier Fernández, José Antonio Sanz, Michal Baczynski, Gleb Beliakov, Radko Mesiar:
Strong Fuzzy Subsethood Measures and Strong Equalities Via Implication Functions. J. Multiple Valued Log. Soft Comput. 22(4-6): 347-371 (2014) - 2013
- [j53]Gleb Beliakov, Michael Johnstone, Douglas C. Creighton, Tim Wilkin:
An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units. Computing 95(4): 309-326 (2013) - [j52]Gleb Beliakov, Douglas C. Creighton, Michael Johnstone, Tim Wilkin:
Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers. Comput. Phys. Commun. 184(8): 1999-2004 (2013) - [j51]Humberto Bustince Sola, Aranzazu Jurio, Ana Pradera, Radko Mesiar, Gleb Beliakov:
Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Eur. J. Oper. Res. 225(3): 472-478 (2013) - [j50]Gleb Beliakov, Simon James:
On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Fuzzy Sets Syst. 211: 84-98 (2013) - [j49]Gleb Beliakov, Simon James:
Stability of weighted penalty-based aggregation functions. Fuzzy Sets Syst. 226: 1-18 (2013) - [j48]Nikhil R. Pal, Humberto Bustince Sola, Miguel Pagola, U. K. Mukherjee, D. P. Goswami, Gleb Beliakov:
Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge. Inf. Sci. 228: 61-74 (2013) - [j47]Gleb Beliakov, Andrei V. Kelarev:
Global non-smooth optimization in robust multivariate regression. Optim. Methods Softw. 28(1): 124-138 (2013) - 2012
- [j46]Gleb Beliakov, Michael Johnstone, Saeid Nahavandi:
Computing of high breakdown regression estimators without sorting on graphics processing units. Computing 94(5): 433-447 (2012) - [j45]Ana Pradera, Gleb Beliakov, Humberto Bustince Sola:
Aggregation functions and contradictory information. Fuzzy Sets Syst. 191: 41-61 (2012) - [j44]Benjamín R. C. Bedregal, Gleb Beliakov, Humberto Bustince Sola, Tomasa Calvo, Radko Mesiar, Daniel Paternain:
A class of fuzzy multisets with a fixed number of memberships. Inf. Sci. 189: 1-17 (2012) - [j43]Gleb Beliakov, John Yearwood, Andrei V. Kelarev:
Application of Rank Correlation, Clustering and Classification in Information Security. J. Networks 7(6): 935-945 (2012) - [j42]Gleb Beliakov, Gang Li:
Improving the speed and stability of the k-nearest neighbors method. Pattern Recognit. Lett. 33(10): 1296-1301 (2012) - [j41]Gleb Beliakov, Humberto Bustince Sola, Simon James, Tomasa Calvo, Javier Fernández:
Aggregation for Atanassov's Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator. IEEE Trans. Fuzzy Syst. 20(3): 487-498 (2012) - [j40]Gleb Beliakov, Humberto Bustince Sola, Daniel Paternain:
Image Reduction Using Means on Discrete Product Lattices. IEEE Trans. Image Process. 21(3): 1070-1083 (2012) - [j39]Huy Quan Vu, Gang Li, Nadezda Sukhorukova, Gleb Beliakov, Shaowu Liu, Carole Philippe, Hélène Amiel, Adrien Ugon:
K-Complex Detection Using a Hybrid-Synergic Machine Learning Method. IEEE Trans. Syst. Man Cybern. Part C 42(6): 1478-1490 (2012) - 2011
- [j38]Gleb Beliakov, Simon James:
Citation-based journal ranks: The use of fuzzy measures. Fuzzy Sets Syst. 167(1): 101-119 (2011) - [j37]Gleb Beliakov, Humberto Bustince Sola, Javier Fernández:
The median and its extensions. Fuzzy Sets Syst. 175(1): 36-47 (2011) - [j36]Gleb Beliakov, Humberto Bustince Sola, D. P. Goswami, U. K. Mukherjee, Nikhil R. Pal:
On averaging operators for Atanassov's intuitionistic fuzzy sets. Inf. Sci. 181(6): 1116-1124 (2011) - [j35]Gleb Beliakov, Simon James, Gang Li:
Learning Choquet-Integral-Based Metrics for Semisupervised Clustering. IEEE Trans. Fuzzy Syst. 19(3): 562-574 (2011) - [j34]Mikel Galar, Javier Fernández, Gleb Beliakov, Humberto Bustince Sola:
Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images. IEEE Trans. Image Process. 20(7): 1949-1961 (2011) - [j33]Aranzazu Jurio, Miguel Pagola, Radko Mesiar, Gleb Beliakov, Humberto Bustince Sola:
Image Magnification Using Interval Information. IEEE Trans. Image Process. 20(11): 3112-3123 (2011) - 2010
- [j32]Tomasa Calvo, Gleb Beliakov:
Aggregation functions based on penalties. Fuzzy Sets Syst. 161(10): 1420-1436 (2010) - [j31]Gleb Beliakov, Tomasa Calvo, Simon James:
On Lipschitz properties of generated aggregation functions. Fuzzy Sets Syst. 161(10): 1437-1447 (2010) - [j30]Gleb Beliakov, Simon James, Juliana Mordelová, Tatiana Rückschlossová, Ronald R. Yager:
Generalized Bonferroni mean operators in multi-criteria aggregation. Fuzzy Sets Syst. 161(17): 2227-2242 (2010) - [j29]Gleb Beliakov, Alberto Ferrer:
Bounded lower subdifferentiability optimization techniques: applications. J. Glob. Optim. 47(2): 211-231 (2010) - [j28]Ronald R. Yager, Gleb Beliakov:
OWA Operators in Regression Problems. IEEE Trans. Fuzzy Syst. 18(1): 106-113 (2010) - 2009
- [j27]Gleb Beliakov:
Construction of aggregation functions from data using linear programming. Fuzzy Sets Syst. 160(1): 65-75 (2009) - [j26]Gleb Beliakov, Tomasa Calvo:
Construction of k -Lipschitz Triangular Norms and Conorms From Empirical Data. IEEE Trans. Fuzzy Syst. 17(5): 1217-1220 (2009) - 2007
- [j25]Gleb Beliakov, Kieran F. Lim:
Challenges of continuous global optimization in molecular structure prediction. Eur. J. Oper. Res. 181(3): 1198-1213 (2007) - [j24]Gleb Beliakov, Tomasa Calvo, Ana Pradera:
Handling of neutral information by aggregation operators. Fuzzy Sets Syst. 158(8): 861-880 (2007) - [j23]Gleb Beliakov, Tomasa Calvo, Ana Pradera:
Absorbent tuples of aggregation operators. Fuzzy Sets Syst. 158(15): 1675-1691 (2007) - [j22]Gleb Beliakov, Tomasa Calvo, Jesús Lázaro:
Pointwise Construction of Lipschitz Aggregation Operators with Specific Properties. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 15(2): 193-223 (2007) - [j21]Gleb Beliakov:
Smoothing Lipschitz functions. Optim. Methods Softw. 22(6): 901-916 (2007) - [j20]Gleb Beliakov, Tomasa Calvo, Radko Mesiar:
Guest Editorial Foreword to the Special Issue on Aggregation Operators. IEEE Trans. Fuzzy Syst. 15(6): 1030-1031 (2007) - [j19]Gleb Beliakov, Tomasa Calvo:
Construction of Aggregation Operators With Noble Reinforcement. IEEE Trans. Fuzzy Syst. 15(6): 1209-1218 (2007) - 2006
- [j18]Gleb Beliakov, Matthew King:
Density based fuzzy C. Eur. J. Oper. Res. 173(3): 717-728 (2006) - 2005
- [j17]Gleb Beliakov:
Class library ranlip for multivariate nonuniform random variate generation. Comput. Phys. Commun. 170(1): 93-108 (2005) - [j16]Gleb Beliakov:
Learning Weights in the Generalized OWA Operators. Fuzzy Optim. Decis. Mak. 4(2): 119-130 (2005) - [j15]Gleb Beliakov:
Universal nonuniform random vector generator based on acceptance-rejection. ACM Trans. Model. Comput. Simul. 15(3): 205-232 (2005) - 2004
- [j14]Gleb Beliakov:
Least squares splines with free knots: global optimization approach. Appl. Math. Comput. 149(3): 783-798 (2004) - [j13]Gleb Beliakov, Radko Mesiar, Lubica Valásková:
Fitting Generated Aggregation Operators To Empirical Data. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 12(2): 219-236 (2004) - [j12]Gleb Beliakov:
Cutting angle method - a tool for constrained global optimization. Optim. Methods Softw. 19(2): 137-151 (2004) - 2003
- [j11]Gleb Beliakov:
How to build aggregation operators from data. Int. J. Intell. Syst. 18(8): 903-923 (2003) - 2002
- [j10]Gleb Beliakov:
Monotone Approximation of Aggregation Operators Using Least Squares Splines. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 10(6): 659-676 (2002) - [j9]Lynn Margaret Batten, Gleb Beliakov:
Fast Algorithm for the Cutting Angle Method of Global Optimization. J. Glob. Optim. 24(2): 149-161 (2002) - 2001
- [j8]Gleb Beliakov, James R. Warren:
Fuzzy logic for decision support in chronic care. Artif. Intell. Medicine 21(1-3): 209-213 (2001) - [j7]Gleb Beliakov:
Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra in Fuzzy Sets and Systems 113 (2000) 389-396. Fuzzy Sets Syst. 121(3): 549-550 (2001) - [j6]Gleb Beliakov, James R. Warren, Joseph T. Noone:
Mixed-initiative Decision Support for Care Planning Based on Clinical Practice Guidelines. J. Decis. Syst. 10(3-4): 429-448 (2001) - [j5]Gleb Beliakov, Jim Warren:
Appropriate choice of aggregation operators in fuzzy decision support systems. IEEE Trans. Fuzzy Syst. 9(6): 773-784 (2001) - 2000
- [j4]Gleb Beliakov:
Definition of general aggregation operators through similarity relations. Fuzzy Sets Syst. 114(3): 437-453 (2000) - 1996
- [j3]G. P. Amata Cruz, Gleb Beliakov:
On the interpretation of certainty factors in expert systems. Artif. Intell. Medicine 8(1): 1-14 (1996) - [j2]G. P. Amata Cruz, Gleb Beliakov:
Fuzzy gating and the problem of screening. Artif. Intell. Medicine 8(4): 377-385 (1996) - [j1]Gleb Beliakov:
Fuzzy Sets and Membership Functions Based on Probabilities. Inf. Sci. 91(1): 95-111 (1996)
Conference and Workshop Papers
- 2024
- [c60]Gleb Beliakov, Simon James, Jian-Zhang Wu, Marek Gagolewski:
A Tractable Approach to Fitting the Choquet Integral for Explainable Prediction and Analysis. FUZZ 2024: 1-8 - 2022
- [c59]Gleb Beliakov:
Optimising non-convex Choquet integrals using DC (difference of convex) algorithm. FUZZ-IEEE 2022: 1-6 - 2020
- [c58]Juan Zhao, Tianrui Zong, Yong Xiang, Longxiang Gao, Gleb Beliakov:
Robust Blockchain-Based Cross-Platform Audio Copyright Protection System Using Content-Based Fingerprint. WISE (2) 2020: 201-212 - 2019
- [c57]Tim Wilkin, Gleb Beliakov:
The Mode of Interval-Valued Data. FUZZ-IEEE 2019: 1-6 - [c56]Juan Zhao, Tianrui Zong, Yong Xiang, Longxiang Gao, Gleb Beliakov:
Pre-adjustment Based Anti-collusion Mechanism for Audio Signals. NSS 2019: 305-319 - 2018
- [c55]Gleb Beliakov, Marek Gagolewski, Simon James:
Least Median of Squares (LMS) and Least Trimmed Squares (LTS) Fitting for the Weighted Arithmetic Mean. IPMU (2) 2018: 367-378 - 2017
- [c54]Jana Spirková, Gleb Beliakov, Humberto Bustince, Javier Fernández:
Directional and Ordered Directional Monotonicity of Mixture Functions. AGOP 2017: 96-105 - [c53]Tim Wilkin, Gleb Beliakov:
Robust image denoising and smoothing with generalised spatial-tonal averages. FUZZ-IEEE 2017: 1-7 - 2016
- [c52]Gleb Beliakov, Simon James, Tim Wilkin, Tomasa Calvo:
Robust OWA-based aggregation for data with outliers. FUZZ-IEEE 2016: 1874-1879 - [c51]Gleb Beliakov, Andrew Geschke, Simon James, Dale Nimmo:
Linear Optimization for Ecological Indices Based on Aggregation Functions. IPMU (2) 2016: 411-422 - [c50]Maciej Bartoszuk, Gleb Beliakov, Marek Gagolewski, Simon James:
Fitting Aggregation Functions to Data: Part I - Linearization and Regularization. IPMU (2) 2016: 767-779 - [c49]Maciej Bartoszuk, Gleb Beliakov, Marek Gagolewski, Simon James:
Fitting Aggregation Functions to Data: Part II - Idempotization. IPMU (2) 2016: 780-789 - 2015
- [c48]Gleb Beliakov, Simon James, Daniel Gómez, Juan Tinguaro Rodríguez, Javier Montero:
Learning Stable Weights for Data of Varying Dimension. AGOP 2015: 49-54 - [c47]Gleb Beliakov, Simon James, Laura Smith, Tim Wilkin:
Biased experts and similarity based weights in preferences aggregation. IFSA-EUSFLAT 2015 - [c46]Gleb Beliakov, Simon James, Tim Wilkin:
Construction and aggregation of preference relations based on fuzzy partial orders. FUZZ-IEEE 2015: 1-8 - 2014
- [c45]Gleb Beliakov, Simon James, Dale Nimmo:
Can indices of ecological evenness be used to measure consensus? FUZZ-IEEE 2014: 25-32 - [c44]Gleb Beliakov, Simon James:
Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs. FUZZ-IEEE 2014: 298-305 - [c43]Gleb Beliakov, Gang Li, Huy Quan Vu, Tim Wilkin:
Fuzzy measures of pixel cluster compactness. FUZZ-IEEE 2014: 1104-1111 - [c42]Tim Wilkin, Gleb Beliakov, Tomasa Calvo:
Weakly Monotone Averaging Functions. IPMU (3) 2014: 364-373 - [c41]Gleb Beliakov, Simon James, Laura Smith:
Single-Preference Consensus Measures Based on Models of Ecological Evenness. MDAI 2014: 50-59 - 2013
- [c40]Daniel Paternain, Aranzazu Jurio, Radko Mesiar, Gleb Beliakov, Humberto Bustince:
Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling. AGOP 2013: 405-414 - [c39]Gleb Beliakov, Humberto Bustince, Javier Fernández, Radko Mesiar, Ana Pradera:
On the use of restricted dissimilarity and dissimilarity-like functions for defining penalty functions. EUSFLAT Conf. 2013 - [c38]Gleb Beliakov, Simon James, Radko Mesiar:
A Generalization of the Bonferroni Mean based on partitions. FUZZ-IEEE 2013 - [c37]Gleb Beliakov, Simon James, Tomasa Calvo:
Aggregating fuzzy implications to measure group consensus. IFSA/NAFIPS 2013: 1016-1021 - [c36]Gleb Beliakov, Simon James, Dale Nimmo:
Learning aggregation weights from 3-tuple comparison sets. IFSA/NAFIPS 2013: 1388-1393 - 2012
- [c35]Gleb Beliakov, Simon James:
Defining Bonferroni means over lattices. FUZZ-IEEE 2012: 1-8 - [c34]Daniel Paternain, Aranzazu Jurio, Gleb Beliakov:
Color image reduction by minimizing penalty functions. FUZZ-IEEE 2012: 1-7 - [c33]Huy Quan Vu, Gang Li, Gleb Beliakov:
A fuzzy decision support method for customer preferences analysis based on Choquet Integral. FUZZ-IEEE 2012: 1-8 - [c32]Benjamín R. C. Bedregal, Gleb Beliakov, Humberto Bustince Sola, Javier Fernández, Ana Pradera, Renata Hax Sander Reiser:
Negations Generated by Bounded Lattices t-Norms. IPMU (3) 2012: 326-335 - [c31]Gleb Beliakov, Simon James:
Using Linear Programming for Weights Identification of Generalized Bonferroni Means in R. MDAI 2012: 35-44 - 2011
- [c30]Benjamín R. C. Bedregal, Gleb Beliakov, Humberto Bustince, Tomasa Calvo, Javier Fernández, Radko Mesiar:
A Characterization Theorem for t-Representable n-Dimensional Triangular Norms. Eurofuse 2011: 103-112 - [c29]Aranzazu Jurio, Miguel Pagola, Humberto Bustince, Gleb Beliakov:
Color Image Magnification with Interval-Valued Fuzzy Sets. Eurofuse 2011: 313-324 - [c28]Daniel Paternain, Carlos Lopez-Molina, Humberto Bustince, Radko Mesiar, Gleb Beliakov:
Image Reduction Using Fuzzy Quantifiers. Eurofuse 2011: 351-362 - [c27]Humberto Bustince, Javier Fernández, Radko Mesiar, Ana Pradera, Gleb Beliakov:
Restricted dissimilarity functions and penalty functions. EUSFLAT Conf. 2011: 79-85 - [c26]Daniel Paternain, Aranzazu Jurio, Miguel Pagola, Humberto Bustince, Gleb Beliakov:
One Image Reduction Algorithm for RGB Color Images. EUSFLAT Conf. 2011: 366-371 - [c25]Gleb Beliakov, Shui Yu, Daniel Paternain:
Non-monotone averaging aggregation. FUZZ-IEEE 2011: 2905-2908 - [c24]Daniel Paternain, Miguel Pagola, Javier Fernández, Radko Mesiar, Gleb Beliakov, Humberto Bustince Sola:
Brain MRI thresholding using incomparability and overlap functions. ISDA 2011: 808-812 - [c23]Aranzazu Jurio, Daniel Paternain, Carlos Lopez-Molina, Humberto Bustince, Radko Mesiar, Gleb Beliakov:
A construction method of interval-valued Fuzzy Sets for image processing. T2FUZZ 2011: 16-22 - [c22]Mikel Galar, Edurne Barrenechea, Javier Fernández, Humberto Bustince, Gleb Beliakov:
Representing images by means of interval-valued fuzzy sets. Application to stereo matching. T2FUZZ 2011: 134-141 - 2010
- [c21]Daniel Paternain, Humberto Bustince Sola, Javier Fernández, Gleb Beliakov, Radko Mesiar:
Image reduction with local reduction operators. FUZZ-IEEE 2010: 1-8 - [c20]Daniel Paternain, Humberto Bustince Sola, Javier Fernández, Gleb Beliakov, Radko Mesiar:
Some Averaging Functions in Image Reduction. IEA/AIE (3) 2010: 399-408 - [c19]Gleb Beliakov, Humberto Bustince Sola, Javier Fernández:
On the Median and Its Extensions. IPMU 2010: 435-444 - [c18]Aranzazu Jurio, Daniel Paternain, Humberto Bustince Sola, Carlos Guerra, Gleb Beliakov:
A construction method of Atanassov's intuitionistic fuzzy sets for image processing. IEEE Conf. of Intelligent Systems 2010: 337-342 - 2009
- [c17]Gleb Beliakov, Tomasa Calvo, Simon James:
Some Results on Lipschitz Quasi-Arithmetic Means. IFSA/EUSFLAT Conf. 2009: 1370-1375 - 2008
- [c16]Gleb Beliakov:
Fitting fuzzy measures by linear programming. Programming library fmtools. FUZZ-IEEE 2008: 862-867 - [c15]Gleb Beliakov, Simon James:
Using Choquet integrals for kNN approximation and classification. FUZZ-IEEE 2008: 1311-1317 - [c14]Gleb Beliakov, Simon James, Luigi Troiano:
Texture recognition by using GLCM and various aggregation functions. FUZZ-IEEE 2008: 1472-1476 - 2007
- [c13]Gleb Beliakov, Tomasa Calvo:
Construction of Aggregation Operators that Preserve Ordering of the Data. EUSFLAT Conf. (1) 2007: 61-66 - [c12]Gleb Beliakov, Luigi Troiano:
Fitting ST-OWA Operators to Empirical Data. EUSFLAT Conf. (1) 2007: 67-73 - 2005
- [c11]Gleb Beliakov:
Identification of General Aggregation Operators by Lipschitz Approximation. Artificial Intelligence and Applications 2005: 230-233 - [c10]Gleb Beliakov, Matthew King:
Fuzzy C-Means Density based Clustering using Data Induced Metric. Artificial Intelligence and Applications 2005: 234-239 - [c9]Gleb Beliakov, Tomasa Calvo:
Identification of general and double aggregation operators using monotone smoothing. EUSFLAT Conf. 2005: 937-942 - 2003
- [c8]Gleb Beliakov, J. E. Monsalve Tobon, Adil M. Bagirov:
Parallelization of the Discrete Gradient Method of Non-smooth Optimization and Its Applications. International Conference on Computational Science 2003: 592-601 - [c7]Kieran F. Lim, Gleb Beliakov, Lynn Margaret Batten:
A New Method for Locating the Global Optimum: Application of the Cutting Angle Method to Molecular Structure Prediction. International Conference on Computational Science 2003: 1040-1049 - 2001
- [c6]Gleb Beliakov:
Methods of Construction of OWA Operations From Data. FUZZ-IEEE 2001: 184-187 - [c5]Gleb Beliakov:
Fuzzy Clustering of Non-convex Patterns Using Global Optimisation. FUZZ-IEEE 2001: 220-223 - [c4]Gleb Beliakov, Ajith Abraham:
Global Optimisation of Neural Networks Using a Deterministic Hybrid Approach. HIS 2001: 79-92 - 2000
- [c3]James R. Warren, Gleb Beliakov, Berend-Jan van der Zwaag:
Fuzzy Logic in Clinical Practice Decision Support Systems. HICSS 2000 - [c2]Gleb Beliakov:
Method of Ideal Solution in Fuzzy Set Theory and Multicriteria Decision Making. PRICAI 2000: 794 - 1999
- [c1]James R. Warren, Gleb Beliakov, Joseph T. Noone, Heath K. Frankel:
Chronic Disease Coordinated Care Planning: Flexible, Task-Centered Decision Support. HICSS 1999
Parts in Books or Collections
- 2011
- [p6]Gleb Beliakov, Tomasa Calvo, Simon James:
Aggregation of Preferences in Recommender Systems. Recommender Systems Handbook 2011: 705-734 - [p5]Gleb Beliakov, Tomasa Calvo, Simon James:
On Penalty-Based Aggregation Functions and Consensus. Consensual Processes 2011: 23-40 - [p4]Gleb Beliakov, Simon James:
Induced Ordered Weighted Averaging Operators. Recent Developments in the Ordered Weighted Averaging Operators 2011: 29-47 - 2010
- [p3]Gleb Beliakov:
Optimization and Aggregation Functions. Fuzzy Optimization 2010: 77-108 - 2008
- [p2]Gleb Beliakov, Tomasa Calvo:
Interpolatory Type Construction of General Aggregation Operators. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models 2008: 99-120 - [p1]Tomasa Calvo, Gleb Beliakov:
Identification of Weights in Aggregation Operators. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models 2008: 145-162
Editorship
- 2017
- [e2]Janusz Kacprzyk, Dimitar P. Filev, Gleb Beliakov:
Granular, Soft and Fuzzy Approaches for Intelligent Systems - Dedicated to Professor Ronald R. Yager. Studies in Fuzziness and Soft Computing 344, 2017, ISBN 978-3-319-40312-0 [contents] - 2011
- [e1]Ronald R. Yager, Janusz Kacprzyk, Gleb Beliakov:
Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice. Studies in Fuzziness and Soft Computing 265, Springer 2011, ISBN 978-3-642-17909-9 [contents]
Reference Works
- 2015
- [r2]Gleb Beliakov, Tomasa Calvo, Simon James:
Aggregation Functions for Recommender Systems. Recommender Systems Handbook 2015: 777-808 - 2009
- [r1]Adil M. Bagirov, Gleb Beliakov:
Global Optimization: Cutting Angle Method. Encyclopedia of Optimization 2009: 1304-1311
Informal and Other Publications
- 2023
- [i7]Marek Gagolewski, Anna Cena, Simon James, Gleb Beliakov:
Hierarchical Clustering with OWA-based Linkages, the Lance-Williams Formula, and Dendrogram Inversions. CoRR abs/2303.05683 (2023) - 2014
- [i6]Gleb Beliakov:
On fast matrix-vector multiplication with a Hankel matrix in multiprecision arithmetics. CoRR abs/1402.5287 (2014) - [i5]Tim Wilkin, Gleb Beliakov:
Weakly monotone averaging functions. CoRR abs/1408.0328 (2014) - 2013
- [i4]Gleb Beliakov, Yuri V. Matiyasevich:
A Parallel Algorithm for Calculation of Large Determinants with High Accuracy for GPUs and MPI clusters. CoRR abs/1308.1536 (2013) - 2012
- [i3]Gleb Beliakov, Michael Johnstone, Douglas C. Creighton, Tim Wilkin:
Parallel random variates generator for GPUs based on normal numbers. CoRR abs/1206.1187 (2012) - 2011
- [i2]Gleb Beliakov:
Parallel calculation of the median and order statistics on GPUs with application to robust regression. CoRR abs/1104.2732 (2011) - [i1]Gleb Beliakov, Andrei V. Kelarev, John Yearwood:
Robust artificial neural networks and outlier detection. Technical report. CoRR abs/1110.0169 (2011)
Coauthor Index
aka: Humberto Bustince Sola
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