Edit Profile (opens in new tab) Beliakov, Gleb Compute Distance To: Compute Author ID: beliakov.gleb Published as: Beliakov, Gleb; Beliakov, G. Documents Indexed: 96 Publications since 1995, including 1 Book 2 Contributions as Editor Co-Authors: 67 Co-Authors with 74 Joint Publications 1,786 Co-Co-Authors all top 5 Co-Authors 24 single-authored 13 James, Simon 12 Bustince, Humberto 10 Calvo, Tomasa 9 Mesiar, Radko 9 Pradera, Ana 8 Fernández Fernández, Francisco Javier 7 Wilkin, Tim 6 Paternain, Daniel 5 Gągolewski, Marek 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 King, Matthew C. 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, Alexander M. 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 34 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 930 times in 661 Documents Cited by ▼ Year ▼ Absorbent tuples of aggregation operators. Zbl 1123.68124Beliakov, G.; Calvo, T.; Pradera, A. 323 2007 Aggregation functions based on penalties. Zbl 1207.68384Calvo, Tomasa; Beliakov, Gleb 40 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. 40 2011 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 32 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. 25 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. 18 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 17 2012 Advances in fuzzy implication functions. Zbl 1257.03013 17 2013 Interval-valued fuzzy sets applied to stereo matching of color images. Zbl 1372.94085Galar, Mikel; Fernandez, Javier; Beliakov, Gleb; Bustince, Humberto 15 2011 Fast algorithm for the cutting angle method of global optimization. Zbl 1047.90044Batten, L. M.; Beliakov, G. 15 2002 Learning weights in the generalized OWA operators. Zbl 1078.90541Beliakov, Gleb 15 2005 Fitting generated aggregation operators to empirical data. Zbl 1073.28012Beliakov, Gleb; Mesiar, Radko; Valaskova, Lubka 14 2004 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. 13 2013 Monotone approximation of aggregation operators using least squares splines. Zbl 1074.68620Beliakov, G. 13 2002 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071Beliakov, Gleb 13 2003 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 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 Image reduction using means on discrete product lattices. Zbl 1372.94021Beliakov, Gleb; Bustince, Humbeto; Paternain, Daniel 9 2012 Interpolation of Lipschitz functions. Zbl 1098.65007Beliakov, Gleb 9 2006 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005Beliakov, G. 9 2005 Extended cutting angle method of global optimization. Zbl 1192.90145Beliakov, Gleb 9 2008 Vector valued similarity measures for Atanassov’s intuitionistic fuzzy sets. Zbl 1355.03040Beliakov, G.; Pagola, M.; Wilkin, T. 8 2014 On the weak monotonicity of Gini means and other mixture functions. Zbl 1360.68372Beliakov, Gleb; Calvo, Tomasa; Wilkin, Tim 8 2015 Shape preserving approximation using least squares splines. Zbl 0983.41009Beliakov, Gleb 8 2000 Approximation of Riemann’s zeta function by finite Dirichlet series: a multiprecision numerical approach. Zbl 1381.11075Beliakov, Gleb; Matiyasevich, Yuri 8 2015 On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Zbl 1252.90031Beliakov, Gleb; James, Simon 7 2013 Construction of image reduction operators using averaging aggregation functions. Zbl 1360.68881Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. 7 2015 Definition of general aggregation operators through similarity relations. Zbl 0962.03051Beliakov, Gleb 7 2000 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 Least squares splines with free knots: Global optimization approach. Zbl 1038.65051Beliakov, Gleb 7 2004 Image magnification using interval information. Zbl 1372.94126Jurio, Aranzazu; Pagola, Miguel; Mesiar, Radko; Beliakov, Gleb; Bustince, Humberto 6 2011 Stability of weighted penalty-based aggregation functions. Zbl 1284.68545Beliakov, Gleb; James, Simon 6 2013 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 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 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048Beliakov, Gleb; King, Matthew 5 2006 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546Beliakov, Gleb; Bagirov, Adil 5 2006 Construction of aggregation operators for automated decision making via optimal interpolation and global optimization. Zbl 1152.91399Beliakov, Gleb 5 2007 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 On the definition of penalty functions in data aggregation. Zbl 1409.68288Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 4 2017 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117Beliakov, Gleb; Matiyasevich, Yuri 4 2016 On some properties of weighted averaging with variable weights. Zbl 1360.62154Beliakov, Gleb; Wilkin, Tim 4 2014 Fuzzy sets and membership functions based on probabilities. Zbl 0879.04003Beliakov, Gleb 4 1996 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 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053Beliakov, Gleb; Špirková, Jana 3 2016 (\(S,N\))-implications on bounded lattices. Zbl 1307.03015Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernández, Javier; Pradera, Ana; Reiser, Renata 3 2013 Derivative-free optimization and neural networks for robust regression. Zbl 1260.90130Beliakov, Gleb; Kelarev, Andrei; Yearwood, John 3 2012 Approximate reasoning and interpretation of laboratory tests in medical diagnostics. Zbl 0867.90073Amaya Cruz, G. P.; Beliakov, G. 3 1995 A review of applications of the cutting angle methods. Zbl 1115.90044Beliakov, Gleb 3 2005 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 Nonadditivity index and capacity identification method in the context of multicriteria decision making. Zbl 1448.91086Wu, Jian-Zhang; Beliakov, Gleb 3 2018 Weakly monotone averaging functions. Zbl 1415.68244Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 3 2014 Aggregation and consensus for preference relations based on fuzzy partial orders. Zbl 1429.91142Beliakov, Gleb; James, Simon; Wilkin, Tim 3 2017 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 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132Beliakov, Gleb; Ferrer, Albert 2 2010 Optimization and aggregation functions. Zbl 1198.90226Beliakov, Gleb 2 2010 Challenges of continuous global optimization in molecular structure prediction. Zbl 1123.90084Beliakov, Gleb; Lim, Kieran F. 2 2007 Identification of weights in aggregation operators. Zbl 1147.68732Calvo, Tomasa; Beliakov, Gleb 2 2008 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 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 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631Beliakov, Gleb; Dujmović, Jozo 2 2016 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300Beliakov, Gleb 1 2002 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159Beliakov, Gleb; Abraham, Ajith 1 2002 Negations generated by bounded lattices t-norms. Zbl 1252.03048Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 1 2012 Granular, soft and fuzzy approaches for intelligent systems. Dedicated to Professor Ronald R. Yager. Zbl 1366.68005 1 2017 Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra. Zbl 0977.03509Beliakov, Gleb 1 2001 Class library ranlip for multivariate nonuniform random variate generation. Zbl 1196.60008Beliakov, Gleb 1 2005 Handling of neutral information by aggregation operators. Zbl 1118.68165Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Parallel bucket sorting on graphics processing units based on convex optimization. Zbl 1320.90058Beliakov, Gleb; Li, Gang; Liu, Shaowu 1 2015 Smoothing Lipschitz functions. Zbl 1126.65011Beliakov, Gleb 1 2007 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 Penalty-based and other representations of economic inequality. Zbl 1405.91168Beliakov, Gleb; Gagolewski, Marek; James, Simon 1 2016 Discrete fuzzy measures. Computational aspects. Zbl 1415.90002Beliakov, Gleb; James, Simon; Wu, Jian-Zhang 1 2020 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 1 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 On the definition of penalty functions in data aggregation. Zbl 1409.68288Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko 4 2017 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 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. 25 2016 A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. Zbl 1338.65117Beliakov, Gleb; Matiyasevich, Yuri 4 2016 Weak monotonicity of Lehmer and Gini means. Zbl 1416.68053Beliakov, Gleb; Špirková, Jana 3 2016 Extension of bivariate means to weighted means of several arguments by using binary trees. Zbl 1390.68631Beliakov, Gleb; Dujmović, Jozo 2 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 4 2014 Weakly monotone averaging functions. Zbl 1415.68244Wilkin, Tim; Beliakov, Gleb; Calvo, Tomasa 3 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. 13 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 17 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 Computing of high breakdown regression estimators without sorting on graphics processing units. Zbl 1243.65018Beliakov, G.; Johnstone, M.; Nahavandi, S. 2 2012 Negations generated by bounded lattices t-norms. Zbl 1252.03048Bedregal, Benjamín; Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier; Pradera, Ana; Reiser, Renata Hax Sander 1 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. 40 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 40 2010 Generalized Bonferroni mean operators in multi-criteria aggregation. Zbl 1207.68381Beliakov, Gleb; James, Simon; Mordelová, Juliana; Rückschlossová, Tatiana; Yager, Ronald R. 32 2010 On Lipschitz properties of generated aggregation functions. Zbl 1207.68380Beliakov, Gleb; Calvo, Tomasa; James, Simon 5 2010 Bounded lower subdifferentiability optimization techniques: applications. Zbl 1190.90132Beliakov, Gleb; Ferrer, Albert 2 2010 Optimization and aggregation functions. Zbl 1198.90226Beliakov, Gleb 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. 323 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 Handling of neutral information by aggregation operators. Zbl 1118.68165Beliakov, G.; Calvo, T.; Pradera, A. 1 2007 Smoothing Lipschitz functions. Zbl 1126.65011Beliakov, Gleb 1 2007 Interpolation of Lipschitz functions. Zbl 1098.65007Beliakov, Gleb 9 2006 Density based fuzzy \(c\)-means clustering of non-convex patterns. Zbl 1125.90048Beliakov, Gleb; King, Matthew 5 2006 Non-smooth optimization methods for computation of the conditional value-at-risk and portfolio optimization. Zbl 1134.90546Beliakov, Gleb; Bagirov, Adil 5 2006 Learning weights in the generalized OWA operators. Zbl 1078.90541Beliakov, Gleb 15 2005 Monotonicity preserving approximation of multivariate scattered data. Zbl 1092.65005Beliakov, G. 9 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 7 2004 How to build aggregation operators from data. Zbl 1074.68607Beliakov, G. 18 2003 Geometry and combinatorics of the cutting angle method. Zbl 1055.65071Beliakov, Gleb 13 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 Approximation of membership functions and aggregation operators using splines. Zbl 1111.41300Beliakov, Gleb 1 2002 Global optimisation of neural networks using a deterministic hybrid approach. Zbl 1007.68159Beliakov, Gleb; Abraham, Ajith 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 843 Authors 70 Mesiar, Radko 60 Beliakov, Gleb 45 Bustince, Humberto 28 Bedregal, Benjamín René Callejas 28 Torrens, Joan 26 Yager, Ronald R. 20 Fernández Fernández, Francisco Javier 20 Kolesárová, Anna 18 De Baets, Bernard 17 Úbeda-Flores, Manuel 16 Dimuro, Graçaliz Pereira 13 Ruiz-Aguilera, Daniel 12 Marichal, Jean-Luc 12 Merigó, José M. 12 Montero, Javier 11 Calvo, Tomasa 11 De Meyer, Hans E. 11 James, Simon 10 Fernández-Sánchez, Juan 10 Gągolewski, Marek 10 Liu, Xinwang 10 Mesiarová-Zemánková, Andrea 10 Paternain, Daniel 9 Chen, Xiaohong 9 Liu, Huawen 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 Pagola, Miguel 7 Qiao, Junsheng 7 Stupňanová, Andrea 6 Alajlan, Naif 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 Montes, Susana 5 Riera, Juan Vicente 5 Šipošová, Alexandra 5 Suñer, Jaume 4 Aguiló, Isabel 4 Bortot, Silvia 4 Campión, María Jesús 4 Díaz, Irene 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 Reiser, Renata Hax Sander 4 Sánchez-Pérez, Enrique Alfonso 4 Shibzukhov, Z. M. 4 Širáň, Jozef 4 Song, Yafei 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 Garg, Harish 3 Ghiselli Ricci, Roberto 3 Gil-Lafuente, Anna Maria 3 Grabisch, Michel 3 Guillen, Montserrat 3 Herrera-Viedma, Enrique 3 Herrera, Francisco 3 Hussain, Malik Zawwar ...and 743 more Authors all top 5 Cited in 106 Serials 152 Fuzzy Sets and Systems 104 Information Sciences 39 International Journal of Approximate Reasoning 32 Soft Computing 27 European Journal of Operational Research 21 Journal of Intelligent and Fuzzy Systems 17 Iranian Journal of Fuzzy Systems 13 Fuzzy Optimization and Decision Making 10 Optimization 9 Applied Mathematics and Computation 9 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 Optimization Letters 1 Journal of Mathematical Cryptology 1 International Journal of Information Technology & Decision Making 1 Scientometrics 1 Azerbaijan Journal of Mathematics 1 Journal of Theoretical Biology ...and 6 more Serials all top 5 Cited in 33 Fields 205 Computer science (68-XX) 188 Mathematical logic and foundations (03-XX) 187 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 101 Operations research, mathematical programming (90-XX) 70 Statistics (62-XX) 56 Measure and integration (28-XX) 35 Order, lattices, ordered algebraic structures (06-XX) 33 Information and communication theory, circuits (94-XX) 32 Numerical analysis (65-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) 8 Approximations and expansions (41-XX) 7 Number theory (11-XX) 7 Biology and other natural sciences (92-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 Combinatorics (05-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