Edit Profile (opens in new tab) Beliakov, Gleb Co-Author Distance Author ID: beliakov.gleb Published as: Beliakov, Gleb; Beliakov, G. Documents Indexed: 108 Publications since 1995, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 68 Co-Authors with 84 Joint Publications 1,807 Co-Co-Authors all top 5 Co-Authors 25 single-authored 20 Bustince Sola, Humberto 17 James, Simon 10 Calvo, Tomasa 9 Mesiar, Radko 9 Pradera, Ana 9 Wilkin, Tim 8 Fernández Fernández, Francisco Javier 8 Gągolewski, Marek 8 Wu, Jianzhang 6 Paternain, Daniel 4 Bedregal, Benjamín René Callejas 4 Johnstone, Michael 4 Jurio, Aranzazu 4 Pagola, Miguel 3 Úbeda-Flores, Manuel 2 Baczynski, Michal 2 Bagirov, Adil M. 2 Bartoszuk, Maciej 2 Creighton, Doug 2 De Amo, Enrique 2 De Baets, Bernard 2 Fernández-Sánchez, Juan 2 Ferrer, Albert 2 Goswami, D. P. 2 Kelarev, Andrei Vladimirovich 2 Li, Gang 2 Matiyasevich, Yuriĭ Vladimirovich 2 Mukherjee, Ujjal Kumar 2 Reiser, Renata Hax Sander 2 Špirková, Jana 2 Ugon, Julien 1 Abraham, Ajith 1 Amaya Cruz, G. P. 1 Amiel, H. 1 Angelova, Maia N. 1 Bangay, Shaun 1 Batten, Lynn Margaret 1 Buckley, Stephen M. 1 Cabrerizo, Francisco Javier 1 De Meyer, Hans E. 1 Dimuro, Graçaliz Pereira 1 Divakov, Dmitry V. 1 Dujmovic, Jozo J. 1 Filev, Dimitar P. 1 Galar, Mikel 1 Gómez, Daniel Armando 1 Herrera-Viedma, Enrique 1 Ivanov, Anatoli F. 1 Kacprzyk, Janusz 1 Lazaro, Jesus 1 Lim, Kieran F. 1 Liu, Shaowu 1 Moloney, David 1 Montero, Javier 1 Mordelová, Juliana 1 Nahavandi, Saeid 1 Nelsen, Roger B. 1 Rodríguez, J. Tinguaro 1 Rubinov, Aleksandr Moiseevich 1 Rückschlossová, Tatiana 1 Sanz, José Antonio 1 Shelyag, Sergiy 1 Ting, Kai Ming 1 Ugon, A. 1 Valásková, Ľubica 1 Vamplew, Peter W. 1 Yager, Ronald R. 1 Yearwood, John all top 5 Serials 25 Fuzzy Sets and Systems 18 Information Sciences 6 Optimization 4 European Journal of Operational Research 4 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3 Journal of Global Optimization 3 Optimization Methods & Software 3 IEEE Transactions on Image Processing 3 Studies in Fuzziness and Soft Computing 2 Computer Physics Communications 2 BIT 2 Computing 2 Fuzzy Optimization and Decision Making 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Cybernetics and Systems 1 Approximation Theory and its Applications 1 International Journal of Intelligent Systems 1 Experimental Mathematics 1 Numerical Linear Algebra with Applications 1 ACM Transactions on Modeling and Computer Simulation 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 International Journal of Pure and Applied Mathematics 1 Journal of Multiple-Valued Logic and Soft Computing 1 Journal of Industrial and Management Optimization 1 Pacific Journal of Optimization all top 5 Fields 38 Computer science (68-XX) 35 Operations research, mathematical programming (90-XX) 22 Numerical analysis (65-XX) 18 Mathematical logic and foundations (03-XX) 14 Measure and integration (28-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Statistics (62-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,151 times in 809 Documents Cited by ▼ Year ▼ Absorbent tuples of aggregation operators. Zbl 1123.68124 Beliakov, G.; Calvo, T.; Pradera, A. 384 2007 On averaging operators for Atanassov’s intuitionistic fuzzy sets. Zbl 1215.03064 Beliakov, G.; Bustince, H.; Goswami, D. P.; Mukherjee, U. K.; Pal, N. R. 48 2011 Aggregation functions based on penalties. Zbl 1207.68384 Calvo, Tomasa; Beliakov, Gleb 48 2010 Advances in fuzzy implication functions. Zbl 1257.03013 35 2013 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381 Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 34 2010 A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. Zbl 1387.03023 Pradera, A.; Beliakov, G.; Bustince, H.; De Baets, B. 32 2016 A class of fuzzy multisets with a fixed number of memberships. Zbl 1247.03113 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Calvo, Tomasa; Mesiar, Radko; Paternain, Daniel 24 2012 Construction of aggregation functions from data using linear programming. Zbl 1183.62006 Beliakov, Gleb 24 2009 Uncertainties with Atanassov’s intuitionistic fuzzy sets: fuzziness and lack of knowledge. Zbl 1293.68268 Pal, N. R.; Bustince, H.; Pagola, M.; Mukherjee, U. K.; Goswami, D. P.; Beliakov, G. 22 2013 How to build aggregation operators from data. Zbl 1074.68607 Beliakov, G. 21 2003 Learning weights in the generalized OWA operators. Zbl 1078.90541 Beliakov, Gleb 18 2005 Interval-valued fuzzy sets applied to stereo matching of color images. Zbl 1372.94085 Galar, Mikel; Fernandez, Javier; Beliakov, Gleb; Bustince, Humberto 18 2011 Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Zbl 1292.91061 Bustince, H.; Jurio, A.; Pradera, A.; Mesiar, R.; Beliakov, G. 15 2013 Fast algorithm for the cutting angle method of global optimization. Zbl 1047.90044 Batten, L. M.; Beliakov, G. 15 2002 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071 Beliakov, Gleb 14 2003 Fitting generated aggregation operators to empirical data. Zbl 1073.28012 Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka 14 2004 Citation-based journal ranks: the use of fuzzy measures. Zbl 1402.62030 Beliakov, Gleb; James, Simon 13 2011 Monotone approximation of aggregation operators using least squares splines. Zbl 1074.68620 Beliakov, G. 13 2002 Interpolation of Lipschitz functions. Zbl 1098.65007 Beliakov, Gleb 13 2006 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005 Beliakov, G. 12 2005 Cutting angle method – a tool for constrained global optimization. Zbl 1054.90055 Beliakov, Gleb 12 2004 Image reduction using means on discrete product lattices. Zbl 1372.94021 Beliakov, Gleb; Bustince, Humbeto; Paternain, Daniel 11 2012 Pointwise construction of Lipschitz aggregation operators with specific properties. Zbl 1120.68099 Beliakov, Gleb; Calvo, Tomasa; Lazaro, Jesus 10 2007 Extended cutting angle method of global optimization. Zbl 1192.90145 Beliakov, Gleb 10 2008 Least squares splines with free knots: Global optimization approach. Zbl 1038.65051 Beliakov, Gleb 10 2004 Solving DC programs using the cutting angle method. Zbl 1312.90059 Ferrer, Albert; Bagirov, Adil; Beliakov, Gleb 10 2015 Approximation of Riemann’s zeta function by finite Dirichlet series: a multiprecision numerical approach. Zbl 1381.11075 Beliakov, Gleb; Matiyasevich, Yuri 10 2015 Discrete fuzzy measures. Computational aspects. Zbl 1415.90002 Beliakov, Gleb; James, Simon; Wu, Jian-Zhang 10 2020 On the weak monotonicity of Gini means and other mixture functions. Zbl 1360.68372 Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim 9 2015 Construction of image reduction operators using averaging aggregation functions. Zbl 1360.68881 Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. 9 2015 Nonadditivity index and capacity identification method in the context of multicriteria decision making. Zbl 1448.91086 Wu, Jian-Zhang; Beliakov, Gleb 9 2018 Shape preserving approximation using least squares splines. Zbl 0983.41009 Beliakov, Gleb 8 2000 Best-possible bounds on the set of copulas with given degree of non-exchangeability. Zbl 1308.62108 Beliakov, G.; De Baets, B.; De Meyer, H.; Nelsen, R. B.; Úbeda-Flores, M. 8 2014 Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Zbl 1355.03040 Beliakov, G.; Pagola, M.; Wilkin, T. 8 2014 Stability of weighted penalty-based aggregation functions. Zbl 1284.68545 Beliakov, Gleb; James, Simon 8 2013 Weakly monotone averaging functions. Zbl 1415.68244 Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 8 2014 Definition of general aggregation operators through similarity relations. Zbl 0962.03051 Beliakov, Gleb 7 2000 (\(S,N\))-implications on bounded lattices. Zbl 1307.03015 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata 7 2013 Image magnification using interval information. Zbl 1372.94126 Jurio, Aranzazu; Pagola, Miguel; Mesiar, Radko; Beliakov, Gleb; Bustince, Humberto 7 2011 On some properties of weighted averaging with variable weights. Zbl 1360.62154 Beliakov, Gleb; Wilkin, Tim 7 2014 Nonmodularity index for capacity identifying with multiple criteria preference information. Zbl 1454.91064 Wu, Jian-Zhang; Beliakov, Gleb 7 2019 Learning fuzzy measures from data: simplifications and optimisation strategies. Zbl 1451.68221 Beliakov, Gleb; Wu, Jian-Zhang 7 2019 On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Zbl 1252.90031 Beliakov, Gleb; James, Simon 7 2013 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546 Beliakov, Gleb; Bagirov, Adil 6 2006 Construction of aggregation operators for automated decision making via optimal interpolation and global optimization. Zbl 1152.91399 Beliakov, Gleb 6 2007 The median and its extensions. Zbl 1217.62012 Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 6 2011 Aggregation functions and contradictory information. Zbl 1238.68162 Pradera, Ana; Beliakov, Gleb; Bustince, Humberto 6 2012 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048 Beliakov, Gleb; King, Matthew 6 2006 Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Zbl 1127.65033 Beliakov, G.; Ugon, J. 6 2007 On the definition of penalty functions in data aggregation. Zbl 1409.68288 Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 6 2017 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117 Beliakov, Gleb; Matiyasevich, Yuri 6 2016 Restricted dissimilarity functions and penalty functions. Zbl 1254.68251 Bustince, Humberto; Fernandez, Javier; Mesiar, Radko; Pradera, Anna; Beliakov, Gleb 6 2011 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380 Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 Approaches to learning strictly-stable weights for data with missing values. Zbl 1380.68350 Beliakov, Gleb; Gómez, Daniel; James, Simon; Montero, Javier; Rodríguez, J. Tinguaro 4 2017 Fuzzy sets and membership functions based on probabilities. Zbl 0879.04003 Beliakov, Gleb 4 1996 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053 Beliakov, Gleb; Špirková, Jana 4 2016 Aggregation and consensus for preference relations based on fuzzy partial orders. Zbl 1429.91142 Beliakov, Gleb; James, Simon; Wilkin, Tim 4 2017 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631 Beliakov, Gleb; Dujmović, Jozo 3 2016 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042 Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 A review of applications of the cutting angle methods. Zbl 1115.90044 Beliakov, Gleb 3 2005 Approximate reasoning and interpretation of laboratory tests in medical diagnostics. Zbl 0867.90073 Amaya Cruz, G. P.; Beliakov, G. 3 1995 Penalty-based and other representations of economic inequality. Zbl 1405.91168 Beliakov, Gleb; Gagolewski, Marek; James, Simon 3 2016 Knapsack problems with dependencies through non-additive measures and Choquet integral. Zbl 1506.90118 Beliakov, Gleb 3 2022 Negations generated by bounded lattices t-norms. Zbl 1252.03048 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 3 2012 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130 Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Challenges of continuous global optimization in molecular structure prediction. Zbl 1123.90084 Beliakov, Gleb; Lim, Kieran F. 2 2007 Identification of weights in aggregation operators. Zbl 1147.68732 Calvo, Tomasa; Beliakov, Gleb 2 2008 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132 Beliakov, Gleb; Ferrer, Albert 2 2010 Detecting \(K\)-complexes for sleep stage identification using nonsmooth optimization. Zbl 1236.92031 Moloney, D.; Sukhorukova, N.; Vamplew, P.; Ugon, J.; Li, G.; Beliakov, G.; Philippe, C.; Amiel, H.; Ugon, A. 2 2011 Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra. Zbl 0977.03509 Beliakov, Gleb 2 2001 Smoothing Lipschitz functions. Zbl 1126.65011 Beliakov, Gleb 2 2007 Computing of high breakdown regression estimators without sorting on graphics processing units. Zbl 1243.65018 Beliakov, G.; Johnstone, M.; Nahavandi, S. 2 2012 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159 Beliakov, Gleb; Abraham, Ajith 2 2002 Random generation of \(k\)-interactive capacities. Zbl 1522.91075 Beliakov, Gleb; Cabrerizo, Francisco Javier; Herrera-Viedma, Enrique; Wu, Jian-Zhang 2 2022 Optimization and aggregation functions. Zbl 1198.90226 Beliakov, Gleb 2 2010 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047 Beliakov, Gleb; Kelarev, Andrei 2 2013 Handling of neutral information by aggregation operators. Zbl 1118.68165 Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300 Beliakov, Gleb 1 2002 Parallel bucket sorting on graphics processing units based on convex optimization. Zbl 1320.90058 Beliakov, Gleb; Li, Gang; Liu, Shaowu 1 2015 Granular, soft and fuzzy approaches for intelligent systems. Dedicated to Professor Ronald R. Yager. Zbl 1366.68005 1 2017 On the derivatives of set functions in matrix representation. Zbl 1475.68378 Beliakov, Gleb 1 2021 Mixture functions and their monotonicity. Zbl 1446.28012 Špirková, Jana; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 1 2019 Global stability and periodicity in a glucose-insulin regulation model with a single delay. Zbl 1480.34107 Angelova, Maia; Beliakov, Gleb; Ivanov, Anatoli; Shelyag, Sergiy 1 2021 Best-possible bounds on the set of copulas with a given value of Spearman’s footrule. Zbl 1522.62025 Beliakov, Gleb; de Amo, Enrique; Fernández-Sánchez, Juan; Úbeda-Flores, Manuel 1 2022 Correction to: “Best-possible bounds on the set of copulas with a given value of Spearman’s footrule”. Zbl 1522.62026 Beliakov, Gleb; de Amo, Enrique; Fernández-Sánchez, Juan; Úbeda-Flores, Manuel 1 2022 Fitting aggregation functions to data. I: Linearization and regularization. Zbl 1455.68156 Bartoszuk, Maciej; Beliakov, Gleb; Gagolewski, Marek; James, Simon 1 2016 Class library ranlip for multivariate nonuniform random variate generation. Zbl 1196.60008 Beliakov, Gleb 1 2005 Learning \(k\)-maxitive fuzzy measures from data by mixed integer programming. Zbl 1467.28012 Beliakov, Gleb; Wu, Jian-Zhang 1 2021 Universal nonuniform random vector generator based on acceptance-rejection. Zbl 1390.65007 Beliakov, Gleb 1 2005 DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures. Zbl 1473.90125 Beliakov, G.; Gagolewski, M.; James, S. 1 2020 Knapsack problems with dependencies through non-additive measures and Choquet integral. Zbl 1506.90118 Beliakov, Gleb 3 2022 Random generation of \(k\)-interactive capacities. Zbl 1522.91075 Beliakov, Gleb; Cabrerizo, Francisco Javier; Herrera-Viedma, Enrique; Wu, Jian-Zhang 2 2022 Best-possible bounds on the set of copulas with a given value of Spearman’s footrule. Zbl 1522.62025 Beliakov, Gleb; de Amo, Enrique; Fernández-Sánchez, Juan; Úbeda-Flores, Manuel 1 2022 Correction to: “Best-possible bounds on the set of copulas with a given value of Spearman’s footrule”. Zbl 1522.62026 Beliakov, Gleb; de Amo, Enrique; Fernández-Sánchez, Juan; Úbeda-Flores, Manuel 1 2022 On the derivatives of set functions in matrix representation. Zbl 1475.68378 Beliakov, Gleb 1 2021 Global stability and periodicity in a glucose-insulin regulation model with a single delay. Zbl 1480.34107 Angelova, Maia; Beliakov, Gleb; Ivanov, Anatoli; Shelyag, Sergiy 1 2021 Learning \(k\)-maxitive fuzzy measures from data by mixed integer programming. Zbl 1467.28012 Beliakov, Gleb; Wu, Jian-Zhang 1 2021 Discrete fuzzy measures. Computational aspects. Zbl 1415.90002 Beliakov, Gleb; James, Simon; Wu, Jian-Zhang 10 2020 DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures. Zbl 1473.90125 Beliakov, G.; Gagolewski, M.; James, S. 1 2020 Nonmodularity index for capacity identifying with multiple criteria preference information. Zbl 1454.91064 Wu, Jian-Zhang; Beliakov, Gleb 7 2019 Learning fuzzy measures from data: simplifications and optimisation strategies. Zbl 1451.68221 Beliakov, Gleb; Wu, Jian-Zhang 7 2019 Mixture functions and their monotonicity. Zbl 1446.28012 Špirková, Jana; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 1 2019 Nonadditivity index and capacity identification method in the context of multicriteria decision making. Zbl 1448.91086 Wu, Jian-Zhang; Beliakov, Gleb 9 2018 On the definition of penalty functions in data aggregation. Zbl 1409.68288 Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 6 2017 Approaches to learning strictly-stable weights for data with missing values. Zbl 1380.68350 Beliakov, Gleb; Gómez, Daniel; James, Simon; Montero, Javier; Rodríguez, J. Tinguaro 4 2017 Aggregation and consensus for preference relations based on fuzzy partial orders. Zbl 1429.91142 Beliakov, Gleb; James, Simon; Wilkin, Tim 4 2017 Granular, soft and fuzzy approaches for intelligent systems. Dedicated to Professor Ronald R. Yager. Zbl 1366.68005 1 2017 A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. Zbl 1387.03023 Pradera, A.; Beliakov, G.; Bustince, H.; De Baets, B. 32 2016 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117 Beliakov, Gleb; Matiyasevich, Yuri 6 2016 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053 Beliakov, Gleb; Špirková, Jana 4 2016 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631 Beliakov, Gleb; Dujmović, Jozo 3 2016 Penalty-based and other representations of economic inequality. Zbl 1405.91168 Beliakov, Gleb; Gagolewski, Marek; James, Simon 3 2016 Fitting aggregation functions to data. I: Linearization and regularization. Zbl 1455.68156 Bartoszuk, Maciej; Beliakov, Gleb; Gagolewski, Marek; James, Simon 1 2016 Solving DC programs using the cutting angle method. Zbl 1312.90059 Ferrer, Albert; Bagirov, Adil; Beliakov, Gleb 10 2015 Approximation of Riemann’s zeta function by finite Dirichlet series: a multiprecision numerical approach. Zbl 1381.11075 Beliakov, Gleb; Matiyasevich, Yuri 10 2015 On the weak monotonicity of Gini means and other mixture functions. Zbl 1360.68372 Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim 9 2015 Construction of image reduction operators using averaging aggregation functions. Zbl 1360.68881 Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. 9 2015 Parallel bucket sorting on graphics processing units based on convex optimization. Zbl 1320.90058 Beliakov, Gleb; Li, Gang; Liu, Shaowu 1 2015 Best-possible bounds on the set of copulas with given degree of non-exchangeability. Zbl 1308.62108 Beliakov, G.; De Baets, B.; De Meyer, H.; Nelsen, R. B.; Úbeda-Flores, M. 8 2014 Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Zbl 1355.03040 Beliakov, G.; Pagola, M.; Wilkin, T. 8 2014 Weakly monotone averaging functions. Zbl 1415.68244 Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 8 2014 On some properties of weighted averaging with variable weights. Zbl 1360.62154 Beliakov, Gleb; Wilkin, Tim 7 2014 Advances in fuzzy implication functions. Zbl 1257.03013 35 2013 Uncertainties with Atanassov’s intuitionistic fuzzy sets: fuzziness and lack of knowledge. Zbl 1293.68268 Pal, N. R.; Bustince, H.; Pagola, M.; Mukherjee, U. K.; Goswami, D. P.; Beliakov, G. 22 2013 Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Zbl 1292.91061 Bustince, H.; Jurio, A.; Pradera, A.; Mesiar, R.; Beliakov, G. 15 2013 Stability of weighted penalty-based aggregation functions. Zbl 1284.68545 Beliakov, Gleb; James, Simon 8 2013 (\(S,N\))-implications on bounded lattices. Zbl 1307.03015 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata 7 2013 On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Zbl 1252.90031 Beliakov, Gleb; James, Simon 7 2013 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047 Beliakov, Gleb; Kelarev, Andrei 2 2013 A class of fuzzy multisets with a fixed number of memberships. Zbl 1247.03113 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Calvo, Tomasa; Mesiar, Radko; Paternain, Daniel 24 2012 Image reduction using means on discrete product lattices. Zbl 1372.94021 Beliakov, Gleb; Bustince, Humbeto; Paternain, Daniel 11 2012 Aggregation functions and contradictory information. Zbl 1238.68162 Pradera, Ana; Beliakov, Gleb; Bustince, Humberto 6 2012 Negations generated by bounded lattices t-norms. Zbl 1252.03048 Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 3 2012 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130 Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Computing of high breakdown regression estimators without sorting on graphics processing units. Zbl 1243.65018 Beliakov, G.; Johnstone, M.; Nahavandi, S. 2 2012 On averaging operators for Atanassov’s intuitionistic fuzzy sets. Zbl 1215.03064 Beliakov, G.; Bustince, H.; Goswami, D. P.; Mukherjee, U. K.; Pal, N. R. 48 2011 Interval-valued fuzzy sets applied to stereo matching of color images. Zbl 1372.94085 Galar, Mikel; Fernandez, Javier; Beliakov, Gleb; Bustince, Humberto 18 2011 Citation-based journal ranks: the use of fuzzy measures. Zbl 1402.62030 Beliakov, Gleb; James, Simon 13 2011 Image magnification using interval information. Zbl 1372.94126 Jurio, Aranzazu; Pagola, Miguel; Mesiar, Radko; Beliakov, Gleb; Bustince, Humberto 7 2011 The median and its extensions. Zbl 1217.62012 Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 6 2011 Restricted dissimilarity functions and penalty functions. Zbl 1254.68251 Bustince, Humberto; Fernandez, Javier; Mesiar, Radko; Pradera, Anna; Beliakov, Gleb 6 2011 Detecting \(K\)-complexes for sleep stage identification using nonsmooth optimization. Zbl 1236.92031 Moloney, D.; Sukhorukova, N.; Vamplew, P.; Ugon, J.; Li, G.; Beliakov, G.; Philippe, C.; Amiel, H.; Ugon, A. 2 2011 Aggregation functions based on penalties. Zbl 1207.68384 Calvo, Tomasa; Beliakov, Gleb 48 2010 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381 Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 34 2010 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380 Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132 Beliakov, Gleb; Ferrer, Albert 2 2010 Optimization and aggregation functions. Zbl 1198.90226 Beliakov, Gleb 2 2010 Construction of aggregation functions from data using linear programming. Zbl 1183.62006 Beliakov, Gleb 24 2009 Extended cutting angle method of global optimization. Zbl 1192.90145 Beliakov, Gleb 10 2008 Identification of weights in aggregation operators. Zbl 1147.68732 Calvo, Tomasa; Beliakov, Gleb 2 2008 Absorbent tuples of aggregation operators. Zbl 1123.68124 Beliakov, G.; Calvo, T.; Pradera, A. 384 2007 Pointwise construction of Lipschitz aggregation operators with specific properties. Zbl 1120.68099 Beliakov, Gleb; Calvo, Tomasa; Lazaro, Jesus 10 2007 Construction of aggregation operators for automated decision making via optimal interpolation and global optimization. Zbl 1152.91399 Beliakov, Gleb 6 2007 Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Zbl 1127.65033 Beliakov, G.; Ugon, J. 6 2007 Challenges of continuous global optimization in molecular structure prediction. Zbl 1123.90084 Beliakov, Gleb; Lim, Kieran F. 2 2007 Smoothing Lipschitz functions. Zbl 1126.65011 Beliakov, Gleb 2 2007 Handling of neutral information by aggregation operators. Zbl 1118.68165 Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Interpolation of Lipschitz functions. Zbl 1098.65007 Beliakov, Gleb 13 2006 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546 Beliakov, Gleb; Bagirov, Adil 6 2006 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048 Beliakov, Gleb; King, Matthew 6 2006 Learning weights in the generalized OWA operators. Zbl 1078.90541 Beliakov, Gleb 18 2005 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005 Beliakov, G. 12 2005 A review of applications of the cutting angle methods. Zbl 1115.90044 Beliakov, Gleb 3 2005 Class library ranlip for multivariate nonuniform random variate generation. Zbl 1196.60008 Beliakov, Gleb 1 2005 Universal nonuniform random vector generator based on acceptance-rejection. Zbl 1390.65007 Beliakov, Gleb 1 2005 Fitting generated aggregation operators to empirical data. Zbl 1073.28012 Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka 14 2004 Cutting angle method – a tool for constrained global optimization. Zbl 1054.90055 Beliakov, Gleb 12 2004 Least squares splines with free knots: Global optimization approach. Zbl 1038.65051 Beliakov, Gleb 10 2004 How to build aggregation operators from data. Zbl 1074.68607 Beliakov, G. 21 2003 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071 Beliakov, Gleb 14 2003 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042 Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 Fast algorithm for the cutting angle method of global optimization. Zbl 1047.90044 Batten, L. M.; Beliakov, G. 15 2002 Monotone approximation of aggregation operators using least squares splines. Zbl 1074.68620 Beliakov, G. 13 2002 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159 Beliakov, Gleb; Abraham, Ajith 2 2002 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300 Beliakov, Gleb 1 2002 Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra. Zbl 0977.03509 Beliakov, Gleb 2 2001 Shape preserving approximation using least squares splines. Zbl 0983.41009 Beliakov, Gleb 8 2000 Definition of general aggregation operators through similarity relations. Zbl 0962.03051 Beliakov, Gleb 7 2000 Fuzzy sets and membership functions based on probabilities. Zbl 0879.04003 Beliakov, Gleb 4 1996 Approximate reasoning and interpretation of laboratory tests in medical diagnostics. Zbl 0867.90073 Amaya Cruz, G. P.; Beliakov, G. 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,024 Authors 83 Mesiar, Radko 71 Beliakov, Gleb 63 Bustince Sola, Humberto 38 Bedregal, Benjamín René Callejas 30 Torrens, Joan 28 Kolesárová, Anna 27 Yager, Ronald R. 25 Fernández Fernández, Francisco Javier 21 Dimuro, Graçaliz Pereira 21 Úbeda-Flores, Manuel 19 De Baets, Bernard 16 Ruiz-Aguilera, Daniel 15 James, Simon 15 Massanet, Sebastià 14 Gągolewski, Marek 14 Merigó, José M. 14 Montero, Javier 13 Calvo, Tomasa 13 Fernández-Sánchez, Juan 13 Mesiarová-Zemánková, Andrea 12 Marichal, Jean-Luc 11 Baczynski, Michal 11 De Meyer, Hans E. 11 Montes, Susana 11 Wu, Jianzhang 10 Díaz, Irene 10 Gómez, Daniel Armando 10 Liu, Huawen 10 Liu, Xinwang 10 Paternain, Daniel 10 Pradera, Ana 10 Qiao, Junsheng 10 Takáč, Zdenko 9 Barrenechea, Edurne 9 Chen, Xiaohong 8 Couceiro, Miguel 8 Durante, Fabrizio 8 Hu, Baoqing 8 Rodríguez, J. Tinguaro 8 Sanz, José Antonio 8 Xu, Zeshui 7 Matiyasevich, Yuriĭ Vladimirovich 7 Pagola, Miguel 7 Santiago, Regivan H. Nunes 7 Stupňanová, Andrea 7 Su, Yong 7 Wilkin, Tim 6 Alajlan, Naif 6 Dubois, Didier 6 Galar, Mikel 6 García-Lapresta, José Luis 6 Klement, Erich Peter 6 Liu, Peide 6 Marques Pereira, Ricardo Alberto 6 Reiser, Renata Hax Sander 6 Riera, Juan Vicente 6 Špirková, Jana 6 Wang, Jianqiang 6 Zeng, Shouzhen 5 Bagirov, Adil M. 5 Chen, Huayou 5 De Miguel, Laura 5 Halaš, Radomír 5 Jin, LeSheng 5 Jurio, Aranzazu 5 Lafuente, Julio P. 5 Lizasoain, Inmaculada 5 Lopez-Molina, Carlos 5 Monserrat, Miquel 5 Shibzukhov, Z. M. 5 Šipošová, Alexandra 5 Song, Yafei 5 Suñer, Jaume 5 Zhou, Hongjun 4 Aguiló, Isabel 4 Alonso, Pedro 4 Borkotokey, Surajit 4 Bortot, Silvia 4 Campión, María Jesús 4 Dong, Jiuying 4 Gao, Jianwei 4 He, Yingdong 4 Herrera-Viedma, Enrique 4 Induráin, Esteban 4 Jočić, Dragan 4 Jwaid, Tarad 4 Kouchakinejad, Fateme 4 Meng, Fanyong 4 Mir, Arnau 4 Pocs, Jozef 4 Prade, Henri M. 4 Qin, Feng 4 Quesada-Molina, José Juan 4 Rojas, Karina 4 Roldán-López-de-Hierro, Antonio-Francisco 4 Saminger-Platz, Susanne 4 Sánchez-Pérez, Enrique Alfonso 4 Sesma-Sara, Mikel 4 Širáň, Jozef 4 Štajner-Papuga, Ivana ...and 924 more Authors all top 5 Cited in 120 Serials 195 Fuzzy Sets and Systems 124 Information Sciences 52 International Journal of Approximate Reasoning 38 Soft Computing 29 European Journal of Operational Research 22 Iranian Journal of Fuzzy Systems 21 Journal of Intelligent and Fuzzy Systems 15 Computational and Applied Mathematics 14 Fuzzy Optimization and Decision Making 11 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10 Applied Mathematics and Computation 10 Optimization 9 Journal of Global Optimization 8 Complexity 7 Kybernetika 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 6 Annals of Operations Research 6 Journal of Applied Mathematics 6 Symmetry 5 Journal of Mathematical Analysis and Applications 5 Aequationes Mathematicae 5 Journal of Mathematics 4 Computational Optimization and Applications 4 Mathematical Problems in Engineering 4 Optimization Methods & Software 3 Automatica 3 Numerical Functional Analysis and Optimization 3 Computers & Operations Research 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 Pattern Recognition 3 Journal of Mathematical Sciences (New York) 3 Informatica (Vilnius) 3 Advances in Fuzzy Systems 3 Mathematics 3 Dependence Modeling 2 International Journal of General Systems 2 BIT 2 Computing 2 Journal of Computational and Applied Mathematics 2 Journal of Computer and System Sciences 2 Journal of Number Theory 2 Journal of Optimization Theory and Applications 2 Insurance Mathematics & Economics 2 Computer Aided Geometric Design 2 Order 2 Machine Learning 2 Automation and Remote Control 2 International Journal of Robust and Nonlinear Control 2 Top 2 International Transactions in Operational Research 2 Journal of Inequalities and Applications 2 OR Spectrum 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Information Processing Letters 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 British Journal of Mathematical & Statistical Psychology 1 Calcolo 1 International Statistical Review 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Opsearch 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Systems & Control Letters 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Social Choice and Welfare 1 Statistics 1 Information and Computation 1 International Journal of Intelligent Systems 1 Neural Computation 1 Computational Statistics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 St. Petersburg Mathematical Journal 1 Numerical Linear Algebra with Applications 1 Filomat 1 Revista Investigación Operacional 1 Doklady Mathematics 1 Journal of Combinatorial Optimization 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Interdisciplinary Mathematics 1 CEJOR. Central European Journal of Operations Research 1 The ANZIAM Journal 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Decisions in Economics and Finance 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Thai Journal of Mathematics ...and 20 more Serials all top 5 Cited in 34 Fields 247 Mathematical logic and foundations (03-XX) 245 Computer science (68-XX) 212 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 121 Operations research, mathematical programming (90-XX) 86 Statistics (62-XX) 75 Measure and integration (28-XX) 45 Order, lattices, ordered algebraic structures (06-XX) 39 Numerical analysis (65-XX) 39 Information and communication theory, circuits (94-XX) 37 Real functions (26-XX) 24 Probability theory and stochastic processes (60-XX) 15 Systems theory; control (93-XX) 12 Difference and functional equations (39-XX) 10 Approximations and expansions (41-XX) 9 Biology and other natural sciences (92-XX) 8 Number theory (11-XX) 6 Combinatorics (05-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Operator theory (47-XX) 3 General algebraic systems (08-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year