Edit Profile (opens in new tab) Beliakov, Gleb Compute Distance To: Compute Author ID: beliakov.gleb Published as: Beliakov, Gleb; Beliakov, G. Documents Indexed: 97 Publications since 1995, including 1 Book 2 Contributions as Editor Co-Authors: 66 Co-Authors with 74 Joint Publications 1,834 Co-Co-Authors all top 5 Co-Authors 24 single-authored 14 James, Simon 12 Bustince, Humberto 10 Calvo, Tomasa 9 Mesiar, Radko 9 Pradera, Ana 8 Fernández Fernández, Francisco Javier 7 Wilkin, Tim 6 Gągolewski, Marek 6 Paternain, Daniel 5 Wu, Jianzhang 4 Bedregal, Benjamín René Callejas 4 Jurio, Aranzazu 4 Pagola, Miguel 3 Johnstone, Michael 2 Baczynski, Michal 2 Bagirov, Adil M. 2 Bartoszuk, Maciej 2 De Baets, Bernard 2 Ferrer, Albert 2 Goswami, D. P. 2 Kelarev, Andrei Vladimirovich 2 Li, Gang 2 Matiyasevich, Yuriĭ Vladimirovich 2 Mukherjee, U. K. 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 Bustince Sola, Humberto 1 Bustince, Humbeto 1 Creighton, Doug 1 De Meyer, Hans E. 1 Dimuro, Graçaliz Pereira 1 Dujmovic, Jozo J. 1 Filev, Dimitar P. 1 Galar, Mikel 1 Gomez, Daniel 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 Sukhorukova, Nadezda 1 Ting, Kai Ming 1 Úbeda-Flores, Manuel 1 Ugon, A. 1 Valásková, Ľubica 1 Vamplew, Peter W. 1 Yager, Ronald R. 1 Yearwood, John all top 5 Serials 18 Fuzzy Sets and Systems 15 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 35 Computer science (68-XX) 32 Operations research, mathematical programming (90-XX) 20 Numerical analysis (65-XX) 18 Mathematical logic and foundations (03-XX) 10 Measure and integration (28-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Statistics (62-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 4 Real functions (26-XX) 3 Number theory (11-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-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 80 Publications have been cited 958 times in 678 Documents Cited by ▼ Year ▼ Absorbent tuples of aggregation operators. Zbl 1123.68124Beliakov, G.; Calvo, T.; Pradera, A. 331 2007 Aggregation functions based on penalties. Zbl 1207.68384Calvo, Tomasa; Beliakov, Gleb 42 2010 On averaging operators for Atanassov’s intuitionistic fuzzy sets. Zbl 1215.03064Beliakov, G.; Bustince, H.; Goswami, D. P.; Mukherjee, U. K.; Pal, N. R. 41 2011 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 33 2010 A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. Zbl 1387.03023Pradera, A.; Beliakov, G.; Bustince, H.; De Baets, B. 26 2016 Construction of aggregation functions from data using linear programming. Zbl 1183.62006Beliakov, Gleb 20 2009 Uncertainties with Atanassov’s intuitionistic fuzzy sets: fuzziness and lack of knowledge. Zbl 1293.68268Pal, N. R.; Bustince, H.; Pagola, M.; Mukherjee, U. K.; Goswami, D. P.; Beliakov, G. 20 2013 How to build aggregation operators from data. Zbl 1074.68607Beliakov, G. 19 2003 A class of fuzzy multisets with a fixed number of memberships. Zbl 1247.03113Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Calvo, Tomasa; Mesiar, Radko; Paternain, Daniel 18 2012 Advances in fuzzy implication functions. Zbl 1257.03013 17 2013 Learning weights in the generalized OWA operators. Zbl 1078.90541Beliakov, Gleb 17 2005 Fast algorithm for the cutting angle method of global optimization. Zbl 1047.90044Batten, L. M.; Beliakov, G. 15 2002 Interval-valued fuzzy sets applied to stereo matching of color images. Zbl 1372.94085Galar, Mikel; Fernandez, Javier; Beliakov, Gleb; Bustince, Humberto 15 2011 Fitting generated aggregation operators to empirical data. Zbl 1073.28012Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka 14 2004 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071Beliakov, Gleb 14 2003 Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Zbl 1292.91061Bustince, H.; Jurio, A.; Pradera, A.; Mesiar, R.; Beliakov, G. 14 2013 Monotone approximation of aggregation operators using least squares splines. Zbl 1074.68620Beliakov, G. 13 2002 Cutting angle method – a tool for constrained global optimization. Zbl 1054.90055Beliakov, Gleb 12 2004 Citation-based journal ranks: the use of fuzzy measures. Zbl 1402.62030Beliakov, Gleb; James, Simon 11 2011 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005Beliakov, G. 10 2005 Pointwise construction of Lipschitz aggregation operators with specific properties. Zbl 1120.68099Beliakov, Gleb; Calvo, Tomasa; Lazaro, Jesus 10 2007 Solving DC programs using the cutting angle method. Zbl 1312.90059Ferrer, Albert; Bagirov, Adil; Beliakov, Gleb 10 2015 Extended cutting angle method of global optimization. Zbl 1192.90145Beliakov, Gleb 9 2008 Interpolation of Lipschitz functions. Zbl 1098.65007Beliakov, Gleb 9 2006 Image reduction using means on discrete product lattices. Zbl 1372.94021Beliakov, Gleb; Bustince, Humbeto; Paternain, Daniel 9 2012 Shape preserving approximation using least squares splines. Zbl 0983.41009Beliakov, Gleb 8 2000 Least squares splines with free knots: Global optimization approach. Zbl 1038.65051Beliakov, Gleb 8 2004 On the weak monotonicity of Gini means and other mixture functions. Zbl 1360.68372Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim 8 2015 Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Zbl 1355.03040Beliakov, G.; Pagola, M.; Wilkin, T. 8 2014 Approximation of Riemann’s zeta function by finite Dirichlet series: a multiprecision numerical approach. Zbl 1381.11075Beliakov, Gleb; Matiyasevich, Yuri 8 2015 Definition of general aggregation operators through similarity relations. Zbl 0962.03051Beliakov, Gleb 7 2000 Construction of image reduction operators using averaging aggregation functions. Zbl 1360.68881Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. 7 2015 On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Zbl 1252.90031Beliakov, Gleb; James, Simon 7 2013 Best-possible bounds on the set of copulas with given degree of non-exchangeability. Zbl 1308.62108Beliakov, G.; De Baets, B.; De Meyer, H.; Nelsen, R. B.; Úbeda-Flores, M. 7 2014 Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Zbl 1127.65033Beliakov, G.; Ugon, J. 6 2007 Aggregation functions and contradictory information. Zbl 1238.68162Pradera, Ana; Beliakov, Gleb; Bustince, Humberto 6 2012 Image magnification using interval information. Zbl 1372.94126Jurio, Aranzazu; Pagola, Miguel; Mesiar, Radko; Beliakov, Gleb; Bustince, Humberto 6 2011 On some properties of weighted averaging with variable weights. Zbl 1360.62154Beliakov, Gleb; Wilkin, Tim 6 2014 Stability of weighted penalty-based aggregation functions. Zbl 1284.68545Beliakov, Gleb; James, Simon 6 2013 Restricted dissimilarity functions and penalty functions. Zbl 1254.68251Bustince, Humberto; Fernandez, Javier; Mesiar, Radko; Pradera, Anna; Beliakov, Gleb 6 2011 Construction of aggregation operators for automated decision making via optimal interpolation and global optimization. Zbl 1152.91399Beliakov, Gleb 5 2007 The median and its extensions. Zbl 1217.62012Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 5 2011 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546Beliakov, Gleb; Bagirov, Adil 5 2006 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048Beliakov, Gleb; King, Matthew 5 2006 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117Beliakov, Gleb; Matiyasevich, Yuri 5 2016 Fuzzy sets and membership functions based on probabilities. Zbl 0879.04003Beliakov, Gleb 4 1996 Weakly monotone averaging functions. Zbl 1415.68244Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 4 2014 Approaches to learning strictly-stable weights for data with missing values. Zbl 1380.68350Beliakov, Gleb; Gómez, Daniel; James, Simon; Montero, Javier; Rodríguez, J. Tinguaro 4 2017 On the definition of penalty functions in data aggregation. Zbl 1409.68288Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 4 2017 Approximate reasoning and interpretation of laboratory tests in medical diagnostics. Zbl 0867.90073Amaya Cruz, G. P.; Beliakov, G. 3 1995 Nonadditivity index and capacity identification method in the context of multicriteria decision making. Zbl 1448.91086Wu, Jian-Zhang; Beliakov, Gleb 3 2018 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 A review of applications of the cutting angle methods. Zbl 1115.90044Beliakov, Gleb 3 2005 (\(S,N\))-implications on bounded lattices. Zbl 1307.03015Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata 3 2013 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631Beliakov, Gleb; Dujmović, Jozo 3 2016 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053Beliakov, Gleb; Špirková, Jana 3 2016 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Aggregation and consensus for preference relations based on fuzzy partial orders. Zbl 1429.91142Beliakov, Gleb; James, Simon; Wilkin, Tim 3 2017 Optimization and aggregation functions. Zbl 1198.90226Beliakov, Gleb 2 2010 Identification of weights in aggregation operators. Zbl 1147.68732Calvo, Tomasa; Beliakov, Gleb 2 2008 Challenges of continuous global optimization in molecular structure prediction. Zbl 1123.90084Beliakov, Gleb; Lim, Kieran F. 2 2007 Detecting \(K\)-complexes for sleep stage identification using nonsmooth optimization. Zbl 1236.92031Moloney, D.; Sukhorukova, N.; Vamplew, P.; Ugon, J.; Li, G.; Beliakov, G.; Philippe, C.; Amiel, H.; Ugon, A. 2 2011 Negations generated by bounded lattices t-norms. Zbl 1252.03048Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 2 2012 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132Beliakov, Gleb; Ferrer, Albert 2 2010 Discrete fuzzy measures. Computational aspects. Zbl 1415.90002Beliakov, Gleb; James, Simon; Wu, Jian-Zhang 2 2020 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047Beliakov, Gleb; Kelarev, Andrei 2 2013 Computing of high breakdown regression estimators without sorting on graphics processing units. Zbl 1243.65018Beliakov, G.; Johnstone, M.; Nahavandi, S. 2 2012 Nonmodularity index for capacity identifying with multiple criteria preference information. Zbl 1454.91064Wu, Jian-Zhang; Beliakov, Gleb 2 2019 Learning fuzzy measures from data: simplifications and optimisation strategies. Zbl 1451.68221Beliakov, Gleb; Wu, Jian-Zhang 2 2019 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159Beliakov, Gleb; Abraham, Ajith 1 2002 Smoothing Lipschitz functions. Zbl 1126.65011Beliakov, Gleb 1 2007 Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra. Zbl 0977.03509Beliakov, Gleb 1 2001 Handling of neutral information by aggregation operators. Zbl 1118.68165Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Class library ranlip for multivariate nonuniform random variate generation. Zbl 1196.60008Beliakov, Gleb 1 2005 Parallel bucket sorting on graphics processing units based on convex optimization. Zbl 1320.90058Beliakov, Gleb; Li, Gang; Liu, Shaowu 1 2015 Global stability and periodicity in a glucose-insulin regulation model with a single delay. Zbl 1480.34107Angelova, Maia; Beliakov, Gleb; Ivanov, Anatoli; Shelyag, Sergiy 1 2021 Granular, soft and fuzzy approaches for intelligent systems. Dedicated to Professor Ronald R. Yager. Zbl 1366.68005 1 2017 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300Beliakov, Gleb 1 2002 Penalty-based and other representations of economic inequality. Zbl 1405.91168Beliakov, Gleb; Gagolewski, Marek; James, Simon 1 2016 Global stability and periodicity in a glucose-insulin regulation model with a single delay. Zbl 1480.34107Angelova, Maia; Beliakov, Gleb; Ivanov, Anatoli; Shelyag, Sergiy 1 2021 Discrete fuzzy measures. Computational aspects. Zbl 1415.90002Beliakov, Gleb; James, Simon; Wu, Jian-Zhang 2 2020 Nonmodularity index for capacity identifying with multiple criteria preference information. Zbl 1454.91064Wu, Jian-Zhang; Beliakov, Gleb 2 2019 Learning fuzzy measures from data: simplifications and optimisation strategies. Zbl 1451.68221Beliakov, Gleb; Wu, Jian-Zhang 2 2019 Nonadditivity index and capacity identification method in the context of multicriteria decision making. Zbl 1448.91086Wu, Jian-Zhang; Beliakov, Gleb 3 2018 Approaches to learning strictly-stable weights for data with missing values. Zbl 1380.68350Beliakov, Gleb; Gómez, Daniel; James, Simon; Montero, Javier; Rodríguez, J. Tinguaro 4 2017 On the definition of penalty functions in data aggregation. Zbl 1409.68288Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 4 2017 Aggregation and consensus for preference relations based on fuzzy partial orders. Zbl 1429.91142Beliakov, Gleb; James, Simon; Wilkin, Tim 3 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 1387.03023Pradera, A.; Beliakov, G.; Bustince, H.; De Baets, B. 26 2016 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117Beliakov, Gleb; Matiyasevich, Yuri 5 2016 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631Beliakov, Gleb; Dujmović, Jozo 3 2016 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053Beliakov, Gleb; Špirková, Jana 3 2016 Penalty-based and other representations of economic inequality. Zbl 1405.91168Beliakov, Gleb; Gagolewski, Marek; James, Simon 1 2016 Solving DC programs using the cutting angle method. Zbl 1312.90059Ferrer, Albert; Bagirov, Adil; Beliakov, Gleb 10 2015 On the weak monotonicity of Gini means and other mixture functions. Zbl 1360.68372Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim 8 2015 Approximation of Riemann’s zeta function by finite Dirichlet series: a multiprecision numerical approach. Zbl 1381.11075Beliakov, Gleb; Matiyasevich, Yuri 8 2015 Construction of image reduction operators using averaging aggregation functions. Zbl 1360.68881Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. 7 2015 Parallel bucket sorting on graphics processing units based on convex optimization. Zbl 1320.90058Beliakov, Gleb; Li, Gang; Liu, Shaowu 1 2015 Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Zbl 1355.03040Beliakov, G.; Pagola, M.; Wilkin, T. 8 2014 Best-possible bounds on the set of copulas with given degree of non-exchangeability. Zbl 1308.62108Beliakov, G.; De Baets, B.; De Meyer, H.; Nelsen, R. B.; Úbeda-Flores, M. 7 2014 On some properties of weighted averaging with variable weights. Zbl 1360.62154Beliakov, Gleb; Wilkin, Tim 6 2014 Weakly monotone averaging functions. Zbl 1415.68244Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 4 2014 Uncertainties with Atanassov’s intuitionistic fuzzy sets: fuzziness and lack of knowledge. Zbl 1293.68268Pal, N. R.; Bustince, H.; Pagola, M.; Mukherjee, U. K.; Goswami, D. P.; Beliakov, G. 20 2013 Advances in fuzzy implication functions. Zbl 1257.03013 17 2013 Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Zbl 1292.91061Bustince, H.; Jurio, A.; Pradera, A.; Mesiar, R.; Beliakov, G. 14 2013 On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Zbl 1252.90031Beliakov, Gleb; James, Simon 7 2013 Stability of weighted penalty-based aggregation functions. Zbl 1284.68545Beliakov, Gleb; James, Simon 6 2013 (\(S,N\))-implications on bounded lattices. Zbl 1307.03015Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata 3 2013 Global non-smooth optimization in robust multivariate regression. Zbl 1270.90047Beliakov, Gleb; Kelarev, Andrei 2 2013 A class of fuzzy multisets with a fixed number of memberships. Zbl 1247.03113Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Calvo, Tomasa; Mesiar, Radko; Paternain, Daniel 18 2012 Image reduction using means on discrete product lattices. Zbl 1372.94021Beliakov, Gleb; Bustince, Humbeto; Paternain, Daniel 9 2012 Aggregation functions and contradictory information. Zbl 1238.68162Pradera, Ana; Beliakov, Gleb; Bustince, Humberto 6 2012 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Negations generated by bounded lattices t-norms. Zbl 1252.03048Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 2 2012 Computing of high breakdown regression estimators without sorting on graphics processing units. Zbl 1243.65018Beliakov, G.; Johnstone, M.; Nahavandi, S. 2 2012 On averaging operators for Atanassov’s intuitionistic fuzzy sets. Zbl 1215.03064Beliakov, G.; Bustince, H.; Goswami, D. P.; Mukherjee, U. K.; Pal, N. R. 41 2011 Interval-valued fuzzy sets applied to stereo matching of color images. Zbl 1372.94085Galar, Mikel; Fernandez, Javier; Beliakov, Gleb; Bustince, Humberto 15 2011 Citation-based journal ranks: the use of fuzzy measures. Zbl 1402.62030Beliakov, Gleb; James, Simon 11 2011 Image magnification using interval information. Zbl 1372.94126Jurio, Aranzazu; Pagola, Miguel; Mesiar, Radko; Beliakov, Gleb; Bustince, Humberto 6 2011 Restricted dissimilarity functions and penalty functions. Zbl 1254.68251Bustince, Humberto; Fernandez, Javier; Mesiar, Radko; Pradera, Anna; Beliakov, Gleb 6 2011 The median and its extensions. Zbl 1217.62012Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier 5 2011 Detecting \(K\)-complexes for sleep stage identification using nonsmooth optimization. Zbl 1236.92031Moloney, 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 1207.68384Calvo, Tomasa; Beliakov, Gleb 42 2010 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 33 2010 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 Optimization and aggregation functions. Zbl 1198.90226Beliakov, Gleb 2 2010 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132Beliakov, Gleb; Ferrer, Albert 2 2010 Construction of aggregation functions from data using linear programming. Zbl 1183.62006Beliakov, Gleb 20 2009 Extended cutting angle method of global optimization. Zbl 1192.90145Beliakov, Gleb 9 2008 Identification of weights in aggregation operators. Zbl 1147.68732Calvo, Tomasa; Beliakov, Gleb 2 2008 Absorbent tuples of aggregation operators. Zbl 1123.68124Beliakov, G.; Calvo, T.; Pradera, A. 331 2007 Pointwise construction of Lipschitz aggregation operators with specific properties. Zbl 1120.68099Beliakov, Gleb; Calvo, Tomasa; Lazaro, Jesus 10 2007 Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Zbl 1127.65033Beliakov, G.; Ugon, J. 6 2007 Construction of aggregation operators for automated decision making via optimal interpolation and global optimization. Zbl 1152.91399Beliakov, Gleb 5 2007 Challenges of continuous global optimization in molecular structure prediction. Zbl 1123.90084Beliakov, Gleb; Lim, Kieran F. 2 2007 Smoothing Lipschitz functions. Zbl 1126.65011Beliakov, Gleb 1 2007 Handling of neutral information by aggregation operators. Zbl 1118.68165Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Interpolation of Lipschitz functions. Zbl 1098.65007Beliakov, Gleb 9 2006 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546Beliakov, Gleb; Bagirov, Adil 5 2006 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048Beliakov, Gleb; King, Matthew 5 2006 Learning weights in the generalized OWA operators. Zbl 1078.90541Beliakov, Gleb 17 2005 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005Beliakov, G. 10 2005 A review of applications of the cutting angle methods. Zbl 1115.90044Beliakov, Gleb 3 2005 Class library ranlip for multivariate nonuniform random variate generation. Zbl 1196.60008Beliakov, Gleb 1 2005 Fitting generated aggregation operators to empirical data. Zbl 1073.28012Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka 14 2004 Cutting angle method – a tool for constrained global optimization. Zbl 1054.90055Beliakov, Gleb 12 2004 Least squares splines with free knots: Global optimization approach. Zbl 1038.65051Beliakov, Gleb 8 2004 How to build aggregation operators from data. Zbl 1074.68607Beliakov, G. 19 2003 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071Beliakov, Gleb 14 2003 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 Fast algorithm for the cutting angle method of global optimization. Zbl 1047.90044Batten, L. M.; Beliakov, G. 15 2002 Monotone approximation of aggregation operators using least squares splines. Zbl 1074.68620Beliakov, G. 13 2002 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159Beliakov, Gleb; Abraham, Ajith 1 2002 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300Beliakov, Gleb 1 2002 Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra. Zbl 0977.03509Beliakov, Gleb 1 2001 Shape preserving approximation using least squares splines. Zbl 0983.41009Beliakov, Gleb 8 2000 Definition of general aggregation operators through similarity relations. Zbl 0962.03051Beliakov, Gleb 7 2000 Fuzzy sets and membership functions based on probabilities. Zbl 0879.04003Beliakov, Gleb 4 1996 Approximate reasoning and interpretation of laboratory tests in medical diagnostics. Zbl 0867.90073Amaya Cruz, G. P.; Beliakov, G. 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 887 Authors 71 Mesiar, Radko 60 Beliakov, Gleb 45 Bustince, Humberto 29 Bedregal, Benjamín René Callejas 28 Torrens, Joan 26 Yager, Ronald R. 21 Kolesárová, Anna 20 Fernández Fernández, Francisco Javier 18 De Baets, Bernard 17 Úbeda-Flores, Manuel 16 Dimuro, Graçaliz Pereira 13 Merigó, José M. 13 Ruiz-Aguilera, Daniel 12 Marichal, Jean-Luc 12 Montero, Javier 11 Calvo, Tomasa 11 De Meyer, Hans E. 11 James, Simon 10 Fernández-Sánchez, Juan 10 Gągolewski, Marek 10 Liu, Huawen 10 Liu, Xinwang 10 Mesiarová-Zemánková, Andrea 10 Paternain, Daniel 9 Chen, Xiaohong 9 Massanet, Sebastià 9 Pradera, Ana 8 Barrenechea, Edurne 8 Couceiro, Miguel 8 Takáč, Zdenko 8 Wu, Jianzhang 7 Baczynski, Michal 7 Durante, Fabrizio 7 Gomez, Daniel 7 Montes, Susana 7 Pagola, Miguel 7 Qiao, Junsheng 7 Stupňanová, Andrea 6 Alajlan, Naif 6 Díaz, Irene 6 Galar, Mikel 6 Marques Pereira, Ricardo Alberto 6 Rodríguez, J. Tinguaro 6 Sanz, José Antonio 6 Špirková, Jana 6 Su, Yong 6 Wang, Jianqiang 6 Wilkin, Tim 6 Xu, Zeshui 6 Zeng, Shouzhen 5 Bagirov, Adil M. 5 Chen, Huayou 5 De Miguel, Laura 5 Dubois, Didier 5 Halaš, Radomír 5 Hu, Baoqing 5 Jurio, Aranzazu 5 Klement, Erich Peter 5 Lizasoain, Inmaculada 5 Matiyasevich, Yuriĭ Vladimirovich 5 Monserrat, Miquel 5 Riera, Juan Vicente 5 Šipošová, Alexandra 5 Song, Yafei 5 Suñer, Jaume 4 Aguiló, Isabel 4 Alonso, Pedro 4 Bortot, Silvia 4 Campión, María Jesús 4 Gao, Jianwei 4 García-Lapresta, José Luis 4 He, Yingdong 4 Induráin, Esteban 4 Jwaid, Tarad 4 Kouchakinejad, Fateme 4 Li, Gang 4 Lopez-Molina, Carlos 4 Meng, Fanyong 4 Pocs, Jozef 4 Qin, Feng 4 Reiser, Renata Hax Sander 4 Sánchez-Pérez, Enrique Alfonso 4 Santiago, Regivan H. Nunes 4 Shibzukhov, Z. M. 4 Širáň, Jozef 4 Sukhorukova, Nadezda 4 Xia, Meimei 4 Zhou, Ligang 3 Arias García, J. J. 3 Asiáin, María José 3 Belles-Sampera, Jaume 3 Bentkowska (Dudziak), Urszula 3 Borkotokey, Surajit 3 Cornelis, Chris 3 Dong, Jiuying 3 Fahmi, Aliya 3 Garg, Harish 3 Ghiselli Ricci, Roberto 3 Gil-Lafuente, Anna Maria 3 Grabisch, Michel ...and 787 more Authors all top 5 Cited in 108 Serials 152 Fuzzy Sets and Systems 104 Information Sciences 45 International Journal of Approximate Reasoning 37 Soft Computing 27 European Journal of Operational Research 21 Journal of Intelligent and Fuzzy Systems 17 Iranian Journal of Fuzzy Systems 14 Fuzzy Optimization and Decision Making 10 Applied Mathematics and Computation 10 Optimization 10 Computational and Applied Mathematics 8 Journal of Global Optimization 8 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 7 Complexity 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 6 Journal of Applied Mathematics 6 Symmetry 5 Journal of Mathematical Analysis and Applications 5 Kybernetika 5 Annals of Operations Research 5 Aequationes Mathematicae 5 Journal of Mathematics 4 Optimization Methods & Software 3 Automatica 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 Pattern Recognition 3 Computational Optimization and Applications 3 Mathematical Problems in Engineering 3 Informatica (Vilnius) 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 Numerical Functional Analysis and Optimization 2 Insurance Mathematics & Economics 2 Computer Aided Geometric Design 2 Order 2 Computers & Operations Research 2 Machine Learning 2 Journal of Mathematical Sciences (New York) 2 Top 2 International Transactions in Operational Research 2 Journal of Inequalities and Applications 2 Advances in Fuzzy Systems 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Semigroup Forum 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 International Journal of Intelligent Systems 1 Neural Computation 1 Computational Statistics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 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 OR Spectrum 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Thai Journal of Mathematics 1 Computational Management Science 1 Statistical Methods and Applications 1 The Journal of Prime Research in Mathematics 1 Optimization Letters 1 Journal of Mathematical Cryptology 1 International Journal of Information Technology & Decision Making 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Scientometrics ...and 8 more Serials all top 5 Cited in 33 Fields 210 Computer science (68-XX) 193 Mathematical logic and foundations (03-XX) 193 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 103 Operations research, mathematical programming (90-XX) 71 Statistics (62-XX) 58 Measure and integration (28-XX) 36 Order, lattices, ordered algebraic structures (06-XX) 35 Numerical analysis (65-XX) 34 Information and communication theory, circuits (94-XX) 27 Real functions (26-XX) 22 Probability theory and stochastic processes (60-XX) 12 Difference and functional equations (39-XX) 12 Systems theory; control (93-XX) 9 Approximations and expansions (41-XX) 8 Biology and other natural sciences (92-XX) 7 Number theory (11-XX) 6 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 General algebraic systems (08-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 Field theory and polynomials (12-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