Edit Profile (opens in new tab) De Baets, Bernard Compute Distance To: Compute Author ID: de-baets.bernard Published as: De Baets, Bernard; De Baets, B.; de Baets, Bernard; de Baets, B. more...less Homepage: http://users.ugent.be/~bdebaets/bdbbody.htm External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 309 Publications since 1993 8 Contributions as Editor Co-Authors: 161 Co-Authors with 305 Joint Publications 2,525 Co-Co-Authors all top 5 Co-Authors 11 single-authored 77 De Meyer, Hans E. 25 Mesiar, Radko 23 Kerre, Etienne E. 22 Baetens, Jan M. 20 Fodor, János C. 20 Montes, Susana 16 Pérez-Fernández, Raúl 15 Díaz, Susana 15 Wolnik, Barbara 14 Maes, Koen C. 14 Waegeman, Willem 13 Jwaid, Tarad 12 De Loof, Karel 11 Tsiporkova, Elena 9 De Schuymer, Bart 8 Rademaker, Michaël 7 Arias García, J. J. 7 Lopez-Molina, Carlos 6 Boeva, Veselka D. 6 Bustince, Humberto 6 Dzedzej, Adam 6 Martinetti, Davide 6 Saminger-Platz, Susanne 6 Van de Walle, Bartel 6 Zedam, Lemnaouar 5 Bělohlávek, Radim 5 Calvo, Tomasa 5 Cao-Van, Kim 5 Díaz, Irene 5 Janssens, Saskia 5 Nenca, Anna 5 Úbeda-Flores, Manuel 5 Verwaeren, Jan 5 Zhang, Huapeng 4 Alonso, Pedro 4 Bołt, Witold 4 Dziemiańczuk, Maciej 4 Freson, Steven 4 Morell, Carlos 4 Nguyen, Bac Trong 4 Outrata, Jan 4 Pahikkala, Tapio 4 Vychodil, Vilém 3 Airola, Antti 3 Boullart, Luc 3 Bouremel, Hassane 3 Cabrera, Inma P. 3 Cordero, Pablo 3 Dembowski, Marcin 3 Jenei, Sándor 3 Kalická, Jana 3 Muzzioli, Silvia 3 Naessens, Helga 3 Ojeda-Aciego, Manuel 3 Štěpnička, Martin 3 Stock, Michiel 3 Tsiporkova-Hristoskova, Elena 3 Van Broekhoven, Ester 3 Verhoest, Niko E. C. 3 Vernieuwe, Hilde 2 Augustynowicz, Antoni 2 Beliakov, Gleb 2 Bentkowska (Dudziak), Urszula 2 Bodenhofer, Ulrich 2 Daly, Aisling J. 2 Delgado, Miguel Ángel 2 Fernández Fernández, Francisco Javier 2 Gupta, Madan M. 2 Herrera-Viedma, Enrique 2 Herrera, Francisco 2 Induráin, Esteban 2 Lievens, Stijn 2 Liu, Huawen 2 Montero, Javier 2 Montes, Ignacio 2 Muñoz-Velasco, Emilio 2 Muyinda, Nathan 2 Ouyang, Yao 2 Pradera, Ana 2 Rao, Shodhan 2 Salakoski, Tapio 2 Su, Yong 2 Van der Weeën, Pieter 2 Wang, Gang 2 Zong, Wenwen 1 Abraham, Ajith 1 Adriaenssens, Veronique 1 Arias García, José De Jesús 1 Bakri, Norelhouda 1 Barkat, Omar 1 Bilgiç, Taner 1 Bołt, Aleksander 1 Botteldooren, Dick 1 Couto, Pedro 1 Daňková, Martina 1 Dawyndt, Peter 1 de Cooman, Gert 1 De Mayer, Hans 1 De Miguel, Laura 1 De Pauw, Dirk J. W. ...and 61 more Co-Authors all top 5 Serials 78 Fuzzy Sets and Systems 25 Information Sciences 13 International Journal of Approximate Reasoning 13 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 8 Kybernetika 6 European Journal of Operational Research 6 Tatra Mountains Mathematical Publications 5 Journal of Mathematical Analysis and Applications 5 The Journal of Fuzzy Mathematics 5 Fuzzy Optimization and Decision Making 4 Chaos 4 Journal of Cellular Automata 3 International Journal of General Systems 3 Physica D 3 Annals of Operations Research 3 Computational Statistics and Data Analysis 3 Soft Computing 3 IEEE Transactions on Image Processing 2 Mathematical Biosciences 2 Journal of Multivariate Analysis 2 Theory and Decision 2 Social Choice and Welfare 2 International Journal of Intelligent Systems 2 Machine Learning 2 Communications in Statistics. Theory and Methods 2 Pattern Recognition 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 4OR 2 Journal of Physics A: Mathematical and Theoretical 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 International Journal of Systems Science 1 Information Processing Letters 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Psychology 1 Journal of Statistical Planning and Inference 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Topology and its Applications 1 Rivista di Matematica per le Scienze Economiche e Sociali 1 Belgian Journal of Operations Research, Statistics and Computer Science (JORBEL) 1 Information and Computation 1 Computers & Operations Research 1 Neural Networks 1 Neural Computation 1 Mathematica Pannonica 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Applied Non-Classical Logics 1 Far East Journal of Mathematical Sciences 1 Computational and Applied Mathematics 1 Mathware & Soft Computing 1 Top 1 Revista Investigación Operacional 1 Optimization Methods & Software 1 Journal of Applied Mathematics and Decision Sciences 1 Mathematical Inequalities & Applications 1 Data Mining and Knowledge Discovery 1 Communications in Nonlinear Science and Numerical Simulation 1 Fundamenta Informaticae 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Iranian Journal of Fuzzy Systems 1 International Journal of Hybrid Intelligent Systems 1 Lecture Notes in Computer Science 1 Studies in Fuzziness and Soft Computing 1 Advances in Soft Computing 1 Communications in Applied and Industrial Mathematics 1 Journal of Theoretical Biology 1 Advances in Intelligent Systems and Computing all top 5 Fields 113 Mathematical logic and foundations (03-XX) 102 Computer science (68-XX) 54 Statistics (62-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Order, lattices, ordered algebraic structures (06-XX) 28 Probability theory and stochastic processes (60-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Operations research, mathematical programming (90-XX) 20 Information and communication theory, circuits (94-XX) 11 Real functions (26-XX) 10 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 8 Biology and other natural sciences (92-XX) 7 General and overarching topics; collections (00-XX) 7 General topology (54-XX) 6 Combinatorics (05-XX) 6 Numerical analysis (65-XX) 6 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Partial differential equations (35-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 254 Publications have been cited 2,952 times in 1,500 Documents Cited by ▼ Year ▼ The functional equations of Frank and Alsina for uninorms and nullnorms. Zbl 0977.03026Calvo, Tomasa; De Baets, Bernard; Fodor, János 138 2001 Triangular norms on product lattices. Zbl 0935.03060De Baets, Bernard; Mesiar, Radko 112 1999 Idempotent uninorms. Zbl 0933.03071De Baets, Bernard 110 1999 Analytical solution methods for fuzzy relational equations. Zbl 0970.03044De Baets, Bernard 89 2000 Cyclic evaluation of transitivity of reciprocal relations. Zbl 1158.91338De Baets, B.; De Meyer, H.; De Schuymer, B.; Jenei, S. 66 2006 \({\mathcal T}\)-partitions. Zbl 0930.03070De Baets, Bernard; Mesiar, Radko 60 1998 A single-point characterization of representable uninorms. Zbl 1268.03027Fodor, János; De Baets, Bernard 58 2012 Transitivity frameworks for reciprocal relations: cycle-transitivity versus \(FG\)-transitivity. Zbl 1114.91031De Baets, B.; De Meyer, H. 57 2005 EQ-algebras. Zbl 1184.03067Novák, Vilém; De Baets, Bernard 45 2009 Metrics and \(\mathcal T\)-equalities. Zbl 0996.03035De Baets, Bernard; Mesiar, Radko 44 2002 A comparative study of similarity measures. Zbl 0852.04011Wang, Xuzhu; De Baets, B.; Kerre, E. 42 1995 Pseudo-metrics and \(\mathcal T\)-equivalences. Zbl 0883.04007De Baets, Bernard; Mesiar, Radko 42 1997 Characterizable fuzzy preference structures. Zbl 0907.90012Van de Walle, Bartel; De Baets, Bernard; Kerre, Etienne 40 1998 Van Melle’s combining function in MYCIN is a representable uninorm: An alternative proof. Zbl 0928.03060De Baets, Bernard; Fodor, János 37 1999 Bell-type inequalities for quasi-copulas. Zbl 1057.81011Janssens, S.; De Baets, B.; De Meyer, H. 37 2004 Coimplicators, the forgotten connectives. Zbl 0954.03029De Baets, Bernard 33 1997 Idempotent uninorms on finite ordinal scales. Zbl 1178.03070De Baets, Bernard; Fodor, János; Ruiz-Aguilera, Daniel; Torrens, Joan 32 2009 A compendium of fuzzy weak orders: representations and constructions. Zbl 1119.06001Bodenhofer, Ulrich; De Baets, Bernard; Fodor, János 32 2007 Fuzzy preference structures without incomparability. Zbl 0858.90001De Baets, Bernard; Van de Walle, Bartel; Kerre, Etienne 30 1995 A generalization of the migrativity property of aggregation functions. Zbl 1248.62003Bustince, H.; De Baets, B.; Fernandez, J.; Mesiar, R.; Montero, J. 30 2012 On the cycle-transitivity of the dice model. Zbl 1075.60011De Schuymer, B.; De Meyer, H.; De Baets, B.; Jenei, S. 30 2003 Additive decomposition of fuzzy pre-orders. Zbl 1119.06002Díaz, Susana; De Baets, Bernard; Montes, Susana 29 2007 On the structure of left-continuous t-norms that have a continuous contour line. Zbl 1122.03051Maes, Koen C.; De Baets, Bernard 29 2007 On the transitivity of a parametric family of cardinality-based similarity measures. Zbl 1191.68706de Baets, B.; Janssens, S.; de Meyer, H. 29 2009 Asymmetric semilinear copulas. Zbl 1136.62350de Baets, Bernard; de Meyer, Hans; Mesiar, Radko 28 2007 Fuzzy transforms of monotone functions with application to image compression. Zbl 1194.94037Perfilieva, Irina; De Baets, Bernard 28 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. 27 2016 A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. I: General argumentation. Zbl 0936.91012Van de Walle, Bartel; De Baets, Bernard; Kerre, Etienne 26 1998 Analytical and numerical solutions of fuzzy differential equations. Zbl 1284.34007Ahmad, M. Z.; Hasan, M. K.; De Baets, B. 25 2013 Flipping and cyclic shifting of binary aggregation functions. Zbl 1175.62002De Baets, B.; De Meyer, H.; Kalická, J.; Mesiar, R. 24 2009 A class of rational cardinality-based similarity measures. Zbl 0985.03045De Baets, B.; De Meyer, H.; Naessens, H. 24 2001 Cycle-transitive comparison of independent random variables. Zbl 1087.60018De Schuymer, B.; De Meyer, H.; De Baets, B. 24 2005 Conditioning in possibility theory with strict order norms. Zbl 0985.28015De Baets, Bernard; Tsiporkova, Elena; Mesiar, Radko 23 1999 The fundamentals of fuzzy mathematical morphology. I: Basic concepts. Zbl 0845.68106De Baets, Bernard; Kerre, Etienne; Gupta, Madan 23 1995 Meta-theorems on inequalities for scalar fuzzy set cardinalities. Zbl 1106.03046De Baets, B.; Janssens, S.; De Meyer, H. 23 2006 Linear optimization with bipolar max-min constraints. Zbl 1284.90104Freson, S.; De Baets, B.; De Meyer, H. 23 2013 On the existence and construction of \(T\)-transitive closures. Zbl 1040.03039De Baets, B.; De Meyer, H. 22 2003 Opposite diagonal sections of quasi-copulas and copulas. Zbl 1183.62087De Baets, Bernard; de Meyer, Hans; Übeda-Flores, Manuel 21 2009 Basic properties of implicators in a residual framework. Zbl 0949.03025Demirli, Kudret; De Baets, Bernard 21 1999 On the direct decomposability of t-norms on product lattices. Zbl 1032.03022Jenei, Sándor; De Baets, Bernard 21 2003 Fuzzy relational compositions. Zbl 0794.04004De Baets, B.; Kerre, E. 21 1993 Twenty years of fuzzy preference structures (1978-1997). Zbl 0897.90006De Baets, Bernard; Fodor, János C. 20 1997 Conic aggregation functions. Zbl 1214.68399Jwaid, T.; De Baets, B.; Kalická, J.; Mesiar, R. 20 2011 On the cycle-transitivity of the mutual rank probability relation of a poset. Zbl 1256.06001De Baets, B.; De Meyer, H.; De Loof, K. 20 2010 An order-theoretic approach to solving sup-T equations. Zbl 0874.04005De Baets, Bernard 20 1995 A fuzzy morphology: a logical approach. Zbl 1053.03516de Baets, Bernard 20 1997 The fundamentals of fuzzy mathematical morphology. II: Idempotence, convexity and decomposition. Zbl 0845.68107De Baets, Bernard; Kerre, Etienne; Gupta, Madan 19 1995 A contour view on uninorm properties. Zbl 1249.26022Maes, Koen C.; De Baets, Bernard 19 2006 On the cycle-transitive comparison of artificially coupled random variables. Zbl 1201.60014De Baets, B.; De Meyer, H. 19 2008 A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings. Zbl 0904.04008Tsiporkova-Hristoskova, Elena; De Baets, Bernard; Kerre, Etienne 18 1997 Negation and affirmation: the role of involutive negators. Zbl 1119.03056Maes, Koen C.; De Baets, Bernard 18 2007 Orthosymmetrical monotone functions. Zbl 1142.26007Maes, K. C.; De Baets, B. 18 2007 Biconic aggregation functions. Zbl 1318.62167Jwaid, T.; De Baets, B.; De Meyer, H. 18 2012 Transitivity-preserving fuzzification schemes for cardinality-based similarity measures. Zbl 1061.90080De Baets, B.; De Meyer, H. 17 2005 Bimigrativity of binary aggregation functions. Zbl 1341.68262Lopez-Molina, C.; De Baets, B.; Bustince, H.; Induráin, E.; Stupňanová, A.; Mesiar, R. 17 2014 Fuzzy preference structures and their characterization. Zbl 0839.90002De Baets, Bernard; Kerre, Etienne; Van de Walle, Bartel 16 1995 On the transitivity of the comonotonic and countermonotonic comparison of random variables. Zbl 1114.60018De Meyer, H.; De Baets, B.; De Schuymer, B. 16 2007 Constructing copulas with given diagonal and opposite diagonal sections. Zbl 1215.62051De Baets, Bernard; De Meyer, Hans; Úbeda-Flores, Manuel 16 2011 Analytical expressions for the addition of fuzzy intervals. Zbl 0919.04005De Baets, Bernard; Marková-Stupňanová, Andrea 16 1997 Exploiting the lattice of ideals representation of a poset. Zbl 1110.06001De Loof, Karel; De Meyer, Hans; De Baets, Bernard 15 2006 A probabilistic framework for the design of instance-based supervised ranking algorithms in an ordinal setting. Zbl 1192.60050Lievens, S.; De Baets, B.; Cao-Van, K. 15 2008 Uninorm basics. Zbl 1128.03014Fodor, János; De Baets, Bernard 15 2007 Algorithms for computing the min-transitive closure and associated partition tree of a symmetric fuzzy relation. Zbl 1043.90087De Meyer, H.; Naessens, H.; De Baets, B. 15 2004 The triple rotation method for constructing t-norms. Zbl 1121.03076Maes, Koen C.; De Baets, Bernard 14 2007 Granularity of attributes in formal concept analysis. Zbl 1328.68216Belohlavek, Radim; De Baets, Bernard; Konecny, Jan 14 2014 A class of aggregation functions encompassing two-dimensional OWA operators. Zbl 1205.68419Bustince, H.; Calvo, T.; De Baets, B.; Fodor, J.; Mesiar, R.; Montero, J.; Paternain, D.; Pradera, A. 14 2010 A revision of Bandler-Kohout compositions of relations. Zbl 0772.04002De Baets, B.; Kerre, E. 14 1993 Extreme copulas and the comparison of ordered lists. Zbl 1115.60019De Schuymer, B.; De Meyer, H.; De Baets, B. 14 2007 General results on the decomposition of transitive fuzzy relations. Zbl 1189.91051Díaz, Susana; De Baets, Bernard; Montes, Susana 14 2010 On the compositional characterization of complete fuzzy pre-orders. Zbl 1175.03032Díaz, Susana; De Baets, Bernard; Montes, Susana 13 2008 On the scalability of ordered multi-class ROC analysis. Zbl 1452.62473Waegeman, Willem; de Baets, Bernard; Boullart, Luc 13 2008 Piecewise linear aggregation functions based on triangulation. Zbl 1213.68618De Baets, B.; De Meyer, H.; Mesiar, R. 13 2011 Extremes of the mass distribution associated with a trivariate quasi-copula. Zbl 1131.62044De Baets, Bernard; De Meyer, Hans; Úbeda-Flores, Manuel 12 2007 Discrete triangular norms. Zbl 1037.03046De Baets, Bernard; Mesiar, Radko 12 2003 Representation and construction of self-dual aggregation operators. Zbl 1111.90071Maes, Koen C.; Saminger, Susanne; De Baets, Bernard 12 2007 Implication-based models of monotone fuzzy rule bases. Zbl 1314.68314Štěpnička, M.; De Baets, B. 12 2013 Orbital semilinear copulas. Zbl 1186.62067Jwaid, Tarad; De Baets, Bernard; De Meyer, Hans 12 2009 Rotation-invariant t-norms: the rotation invariance property revisited. Zbl 1183.03051Maes, Koen C.; De Baets, Bernard 11 2009 Aggregation operators defined by \(k\)-order additive/maxitive fuzzy measures. Zbl 1087.28505Calvo, Tomasa; de Baets, Bernard 11 1998 Rotation-invariant t-norms: where triple rotation and rotation-annihilation meet. Zbl 1182.03052Maes, Koen C.; De Baets, Bernard 11 2009 The quest for rings on bipolar scales. Zbl 1068.91012Grabisch, Michel; de Baets, Bernard; Fodor, János 11 2004 Transitive decomposition of fuzzy preference relations: The case of nilpotent minimum. Zbl 1249.91024Díaz, Susana; Montes, Susana; De Baets, Bernard 11 2004 On the dominance relation between ordinal sums of conjunctors. Zbl 1249.26025Saminger, Susanne; De Baets, Bernard; De Meyer, Hans 11 2006 Ordinal sums of aggregation operators. Zbl 1015.68194De Baets, Bernard; Mesiar, Radko 11 2002 A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. Zbl 1083.91503De Baets, Bernard; Van de Walle, Bartel; Kerre, Etienne 11 1998 A generalization of the Mulholland inequality for continuous Archimedean t-norms. Zbl 1150.03010Saminger-Platz, Susanne; De Baets, Bernard; De Meyer, Hans 11 2008 On a generalization of the absorption equation. Zbl 0953.03063Calvo, Tomasa; De Baets, Bernard 10 2000 A primer on solving fuzzy relational equations on the unit interval. Zbl 1232.03039De Baets, Bernard; Kerre, Etienne E. 10 1994 Twenty years of fuzzy preference structures (1978–1997). Zbl 0926.91012de Baets, Bernard; Fodor, János C. 10 1997 A comparison of fuzzy regression methods for the estimation of the implied volatility smile function. Zbl 1361.62044Muzzioli, S.; Ruggieri, A.; De Baets, B. 10 2015 On the structure of 2-uninorms. Zbl 1441.03022Zong, Wenwen; Su, Yong; Liu, Hua-Wen; De Baets, Bernard 10 2018 On rational cardinality-based inclusion measures. Zbl 1001.03048De Baets, B.; De Meyer, H.; Naessens, H. 9 2002 Fast and accurate center of gravity defuzzification of fuzzy system outputs defined on trapezoidal fuzzy partitions. Zbl 1090.93027Van Broekhoven, Ester; De Baets, Bernard 9 2006 A fuzzy approach to stochastic dominance of random variables. Zbl 1039.60012De Schuymer, Bart; De Meyer, Hans; De Baets, Bernard 9 2003 Phenomenological study of irregular cellular automata based on Lyapunov exponents and Jacobians. Zbl 1311.37004Baetens, Jan M.; De Baets, Bernard 9 2010 Closing reciprocal relations w.r.t. stochastic transitivity. Zbl 1315.03092Freson, S.; De Baets, B.; De Meyer, H. 9 2014 Learning intransitive reciprocal relations with kernel methods. Zbl 1188.68234Pahikkala, Tapio; Waegeman, Willem; Tsivtsivadze, Evgeni; Salakoski, Tapio; de Baets, Bernard 9 2010 Lower semiquadratic copulas with a given diagonal section. Zbl 1278.62070Jwaid, T.; De Meyer, H.; De Baets, B. 9 2013 Monotone Mamdani-Assilian models under mean of maxima defuzzification. Zbl 1169.93360Van Broekhoven, Ester; De Baets, Bernard 8 2008 Differential inequality conditions for dominance between continuous Archimedean \(t\)-norms. Zbl 1179.26060Saminger-Platz, Susanne; de Baets, Bernard; de Meyer, Hans 8 2009 Reversibility of number-conserving 1D cellular automata: unlocking insights into the dynamics for larger state sets. Zbl 1492.37018Wolnik, Barbara; Dziemiańczuk, Maciej; Dzedzej, Adam; De Baets, Bernard 1 2022 Constructions of uni-nullnorms and null-uninorms on a bounded lattice. Zbl 1464.03077Zhang, Hua-Peng; Ouyang, Yao; De Baets, Bernard 5 2021 Ordinal sums of triangular norms on a bounded lattice. Zbl 1464.03064Ouyang, Yao; Zhang, Hua-Peng; De Baets, Bernard 4 2021 Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard 1 2021 A split-and-perturb decomposition of number-conserving cellular automata. Zbl 07477821Wolnik, Barbara; Nenca, Anna; Baetens, Jan M.; De Baets, Bernard 4 2020 A hitchhiker’s guide to quasi-copulas. Zbl 1452.62343Arias-García, J. J.; Mesiar, R.; De Baets, B. 3 2020 Efficient enumeration of three-state two-dimensional number-conserving cellular automata. Zbl 1458.37019Dzedzej, Adam; Wolnik, Barbara; Nenca, Anna; Baetens, Jan M.; De Baets, Bernard 3 2020 A correspondence between voting procedures and stochastic orderings. Zbl 1443.91128Montes, Ignacio; Rademaker, Michael; Pérez-Fernández, Raúl; De Baets, Bernard 2 2020 Relational Galois connections between transitive fuzzy digraphs. Zbl 1446.06006Cabrera, Inma P.; Cordero, Pablo; Muñoz-Velasco, Emilio; Ojeda-Aciego, Manuel; De Baets, Bernard 2 2020 On the construction of uninorms by paving. Zbl 1468.03074Zong, Wenwen; Su, Yong; Liu, Hua-Wen; De Baets, Bernard 1 2020 On the construction of fuzzy betweenness relations from metrics. Zbl 1452.03124Zhang, Hua-Peng; Pérez-Fernández, Raúl; De Baets, Bernard 1 2020 Ternary reversible number-conserving cellular automata are trivial. Zbl 1457.37017Wolnik, Barbara; De Baets, Bernard 1 2020 Relational Galois connections between transitive digraphs: characterization and construction. Zbl 1457.05041Cabrera, Inma P.; Cordero, Pablo; Muñoz-Velasco, Emilio; Ojeda-Aciego, Manuel; De Baets, Bernard 1 2020 Fuzzy linear programming problems: models and solutions. Zbl 1490.90307Ghanbari, Reza; Ghorbani-Moghadam, Khatere; Mahdavi-Amiri, Nezam; De Baets, Bernard 1 2020 Fuzzy betweenness relations and their connection with fuzzy order relations. Zbl 1465.03092Zhang, Hua-Peng; Pérez-Fernández, Raúl; De Baets, Bernard 1 2020 On the degree of asymmetry of a quasi-copula with respect to a curve. Zbl 1426.62149De Baets, B.; De Meyer, H. E.; Jwaid, T. 4 2019 Topologies induced by the representation of a betweenness relation as a family of order relations. Zbl 1412.06001Zhang, Hua-Peng; Pérez-Fernández, Raúl; De Baets, Bernard 3 2019 Cutting levels of the winning probability relation of random variables pairwisely coupled by a same Frank copula. Zbl 1471.60023De Baets, B.; De Meyer, H. 2 2019 A two-layer representation of four-state reversible number-conserving 2D cellular automata. Zbl 1456.68102Dzedzej, Adam; Wolnik, Barbara; Dziemiańczuk, Maciej; Nenca, Anna; Baetens, Jan M.; De Baets, Bernard 2 2019 On the lattice structure of the set of supermodular quasi-copulas. Zbl 1426.62147Arias-García, J. J.; De Baets, B. 2 2019 Multivariate winning probabilities. Zbl 1423.60037Montes, Ignacio; Montes, Susana; De Baets, Bernard 2 2019 Two-dimensional affine continuous cellular automata solving the relaxed density classification problem. Zbl 1467.68105Dembowski, Marcin; Wolnik, Barbara; Bołt, Witold; Baetens, Jan M.; De Baets, Bernard 1 2019 Kernel distance metric learning using pairwise constraints for person re-identification. Zbl 1409.94458Nguyen, Bac; de Baets, Bernard 1 2019 On the structure of 2-uninorms. Zbl 1441.03022Zong, Wenwen; Su, Yong; Liu, Hua-Wen; De Baets, Bernard 10 2018 On the construction of radially symmetric copulas in higher dimensions. Zbl 1397.60027Arias-García, J. J.; De Meyer, H.; De Baets, B. 4 2018 Convolution lattices. Zbl 1397.06004De Miguel, L.; Bustince, H.; De Baets, B. 4 2018 Extremal Lipschitz continuous aggregation functions with a given diagonal section. Zbl 1397.68178Arias-García, J. J.; Mesiar, R.; Klement, E. P.; Saminger-Platz, S.; De Baets, B. 3 2018 On a correspondence between probabilistic and fuzzy choice functions. Zbl 1429.91154Martinetti, Davide; Montes, Susana; Díaz, Susana; De Baets, Bernard 2 2018 A comparative study of pairwise learning methods based on kernel ridge regression. Zbl 1472.68158Stock, Michiel; Pahikkala, Tapio; Airola, Antti; De Baets, Bernard; Waegeman, Willem 2 2018 On the linear stability of some finite difference schemes for nonlinear reaction-diffusion models of chemical reaction networks. Zbl 1422.65177Muyinda, Nathan; De Baets, Bernard; Rao, Shodhan 2 2018 Three-species competition with non-deterministic outcomes. Zbl 1404.92215Depraetere, Tim M. A.; Daly, Aisling J.; Baetens, Jan M.; De Baets, Bernard 2 2018 The supercovering relation, the pairwise winner, and more missing links between Borda and Condorcet. Zbl 1392.91067Pérez-Fernández, Raúl; De Baets, Bernard 1 2018 The unwalked path between quasi-copulas and copulas: stepping stones in higher dimensions. Zbl 1401.62078Arias-García, J. J.; Mesiar, R.; De Baets, B. 6 2017 Number-conserving cellular automata with a von Neumann neighborhood of range one. Zbl 1382.37012Wolnik, Barbara; Dzedzej, Adam; Baetens, Jan M.; De Baets, Bernard 5 2017 On the construction of adjunctions between a fuzzy preposet and an unstructured set. Zbl 1387.06004Cabrera, I. P.; Cordero, P.; García-Pardo, F.; Ojeda-Aciego, M.; de Baets, B. 4 2017 Supervised distance metric learning through maximization of the Jeffrey divergence. Zbl 1429.68235Nguyen, Bac; Morell, Carlos; De Baets, Bernard 2 2017 Density-conserving affine continuous cellular automata solving the relaxed density classification problem. Zbl 1382.37011Wolnik, Barbara; Dembowski, Marcin; Bołt, Witold; Baetens, Jan M.; De Baets, Bernard 2 2017 Monotonicity-based ranking on the basis of multiple partially specified reciprocal relations. Zbl 1380.91065Pérez-Fernández, Raúl; Rademaker, Michael; Alonso, Pedro; Díaz, Irene; Montes, Susana; De Baets, Bernard 1 2017 On the construction of radially symmetric trivariate copulas. Zbl 1422.62012Arias García, José De Jesús; De Meyer, Hans; De Baets, Bernard 1 2017 On the correspondence between reciprocal relations and strongly complete fuzzy relations. Zbl 1368.03060Martinetti, Davide; Montes, Susana; Díaz, Susana; De Baets, Bernard 1 2017 Monotonicity-based consensus states for the monometric rationalisation of ranking rules and how they are affected by ties. Zbl 1425.91154Pérez-Fernández, Raúl; Alonso, Pedro; Díaz, Irene; Montes, Susana; De Baets, Bernard 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. 27 2016 Multivariate Bertino copulas. Zbl 1329.62245Arias García, J. J.; De Meyer, H.; De Baets, B. 5 2016 Representations of votes facilitating monotonicity-based ranking rules: from votrix to votex. Zbl 1334.91036Pérez-Fernández, Raúl; Rademaker, Michael; Alonso, Pedro; Díaz, Irene; Montes, Susana; De Baets, Bernard 5 2016 A clone-based representation of the fuzzy tolerance or equivalence relations a strict order relation is compatible with. Zbl 1374.06002De Baets, Bernard; Zedam, Lemnaouar; Kheniche, Azzedine 4 2016 Focal copulas: a common framework for various classes of semilinear copulas. Zbl 1387.60023Jwaid, Tarad; De Baets, Bernard; De Meyer, Hans 3 2016 On comparability relations in the class of interval-valued fuzzy relations. Zbl 1489.03024Pȩkala, Barbara; Bentkowska, Urszula; De Baets, Bernard 3 2016 The scorix: a popular representation of votes revisited. Zbl 1390.91129Pérez-Fernández, Raúl; Rademaker, Michael; De Baets, Bernard 2 2016 Multivariate upper semilinear copulas. Zbl 1433.62130Arias-García, J. J.; de Meyer, H.; De Baets, B. 1 2016 Exact and efficient top-\(K\) inference for multi-target prediction by querying separable linear relational models. Zbl 1416.62541Stock, Michiel; Dembczyński, Krzysztof; De Baets, Bernard; Waegeman, Willem 1 2016 Conjunction and disjunction based fuzzy interval orders in aggregation process. Zbl 1489.03017Bentkowska, Urszula; Król, Anna; De Baets, Bernard 1 2016 Separability criteria for the evaluation of boundary detection benchmarks. Zbl 1408.94435Lopez-Molina, C.; Bustince, H.; de Baets, B. 1 2016 The density classification problem in the context of continuous cellular automata. Zbl 1392.68280Wolnik, Barbara; Dembowski, Marcin; Bołt, Witold; Baetens, Jan M.; De Baets, Bernard 1 2016 A comparison of fuzzy regression methods for the estimation of the implied volatility smile function. Zbl 1361.62044Muzzioli, S.; Ruggieri, A.; De Baets, B. 10 2015 The role of generalized convexity in conic copula constructions. Zbl 1308.26017Jwaid, T.; De Meyer, H.; Mesiar, R.; De Baets, B. 7 2015 Semiquadratic copulas based on horizontal and vertical interpolation. Zbl 1360.68837Jwaid, T.; De Baets, B.; De Meyer, H. 6 2015 The impact of initial evenness on biodiversity maintenance for a four-species in silico bacterial community. Zbl 1343.92536Daly, Aisling J.; Baetens, Jan M.; De Baets, Bernard 5 2015 A frequentist view on cycle-transitivity of reciprocal relations. Zbl 1368.60007De Baets, B.; De Loof, K.; De Meyer, H. 5 2015 On the relationship between modular functions and copulas. Zbl 1361.62026De Baets, B.; De Meyer, H.; Kalická, J.; Mesiar, R. 4 2015 A search grid for parameter optimization as a byproduct of model sensitivity analysis. Zbl 1410.90209Verwaeren, Jan; Van der Weeën, Pieter; De Baets, Bernard 3 2015 Editorial. Zbl 1368.00051 2 2015 Bimigrativity of binary aggregation functions. Zbl 1341.68262Lopez-Molina, C.; De Baets, B.; Bustince, H.; Induráin, E.; Stupňanová, A.; Mesiar, R. 17 2014 Granularity of attributes in formal concept analysis. Zbl 1328.68216Belohlavek, Radim; De Baets, Bernard; Konecny, Jan 14 2014 Closing reciprocal relations w.r.t. stochastic transitivity. Zbl 1315.03092Freson, S.; De Baets, B.; De Meyer, H. 9 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 Ortholinear and paralinear semi-copulas. Zbl 1336.62117Jwaid, T.; De Baets, B.; De Meyer, H. 7 2014 On the role of acyclicity in the study of rationality of fuzzy choice functions. Zbl 1315.91018Martinetti, D.; De Baets, B.; Díaz, S.; Montes, S. 4 2014 On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions. Zbl 1429.91116Martinetti, Davide; Montes, Susana; Díaz, Susana; De Baets, Bernard 3 2014 Cycle-free cuts of mutual rank probability relations. Zbl 1323.06001De Loof, Karel; De Baets, Bernard; De Meyer, Hans 1 2014 Analytical and numerical solutions of fuzzy differential equations. Zbl 1284.34007Ahmad, M. Z.; Hasan, M. K.; De Baets, B. 25 2013 Linear optimization with bipolar max-min constraints. Zbl 1284.90104Freson, S.; De Baets, B.; De Meyer, H. 23 2013 Implication-based models of monotone fuzzy rule bases. Zbl 1314.68314Štěpnička, M.; De Baets, B. 12 2013 Lower semiquadratic copulas with a given diagonal section. Zbl 1278.62070Jwaid, T.; De Meyer, H.; De Baets, B. 9 2013 Efficient regularized least-squares algorithms for conditional ranking on relational data. Zbl 1300.68045Pahikkala, Tapio; Airola, Antti; Stock, Michiel; De Baets, Bernard; Waegeman, Willem 8 2013 Interpolativity of at-least and at-most models of monotone single-input single-output fuzzy rule bases. Zbl 1284.68555Štěpnička, Martin; De Baets, Bernard 7 2013 A comparative assessment of different fuzzy regression methods for volatility forecasting. Zbl 1397.91574Muzzioli, Silvia; De Baets, B. 4 2013 On the existence of a trivariate copula with given values of a trivariate quasi-copula at several points. Zbl 1284.62308De Baets, Bernard; De Meyer, Hans; Fernández Sánchez, Juan; Úbeda-Flores, Manuel 2 2013 Countering the negative search bias of ant colony optimization in subset selection problems. Zbl 1349.90872Verwaeren, Jan; Scheerlinck, Karolien; De Baets, Bernard 1 2013 On a conjecture about the Frank copula family. Zbl 1284.62307De Baets, Bernard; De Meyer, Hans 1 2013 Influence of the topology of a cellular automaton on its dynamical properties. Zbl 1309.68135Baetens, J. M.; De Loof, K.; De Baets, B. 1 2013 Topology-induced phase transitions in totalistic cellular automata. Zbl 1279.37014Baetens, J. M.; De Baets, B. 1 2013 A necessary 4-cycle condition for dice representability of reciprocal relations. Zbl 1273.05086De Loof, K.; De Baets, B.; De Meyer, H. 1 2013 On the construction of semiquadratic copulas. Zbl 1277.68269Jwaid, Tarad; De Baets, Bernard; De Meyer, Hans 1 2013 A single-point characterization of representable uninorms. Zbl 1268.03027Fodor, János; De Baets, Bernard 58 2012 A generalization of the migrativity property of aggregation functions. Zbl 1248.62003Bustince, H.; De Baets, B.; Fernandez, J.; Mesiar, R.; Montero, J. 30 2012 Biconic aggregation functions. Zbl 1318.62167Jwaid, T.; De Baets, B.; De Meyer, H. 18 2012 Binary survival aggregation functions. Zbl 1237.62063De Baets, B.; De Meyer, H.; Mesiar, R. 7 2012 Learning partial ordinal class memberships with kernel-based proportional odds models. Zbl 1243.62096Verwaeren, Jan; Waegeman, Willem; De Baets, Bernard 6 2012 Optimal monotone relabelling of partially non-monotone ordinal data. Zbl 1270.05052Rademaker, M.; De Baets, B.; De Meyer, H. 6 2012 Cellular automata on irregular tessellations. Zbl 1263.37021Baetens, Jan M.; De Baets, Bernard 3 2012 Effect of asynchronous updating on the stability of cellular automata. Zbl 1269.68065Baetens, J. M.; Van der Weeën, P.; De Baets, B. 2 2012 Opening reciprocal relations w.r.t. stochastic transitivity. Zbl 1252.03116Freson, Steven; De Meyer, Hans; De Baets, Bernard 1 2012 Conic aggregation functions. Zbl 1214.68399Jwaid, T.; De Baets, B.; Kalická, J.; Mesiar, R. 20 2011 Constructing copulas with given diagonal and opposite diagonal sections. Zbl 1215.62051De Baets, Bernard; De Meyer, Hans; Úbeda-Flores, Manuel 16 2011 Piecewise linear aggregation functions based on triangulation. Zbl 1213.68618De Baets, B.; De Meyer, H.; Mesiar, R. 13 2011 Aggregation of monotone reciprocal relations with application to group decision making. Zbl 1241.91040Rademaker, Michaël; De Baets, Bernard 8 2011 On the Ferrers property of valued interval orders. Zbl 1284.91126Díaz, Susana; De Baets, Bernard; Montes, Susana 6 2011 An experimental comparison of cross-validation techniques for estimating the area under the ROC curve. Zbl 1328.65018Airola, Antti; Pahikkala, Tapio; Waegeman, Willem; De Baets, Bernard; Salakoski, Tapio 6 2011 On the topological sensitivity of cellular automata. Zbl 1317.37017Baetens, Jan M.; De Baets, Bernard 5 2011 On the ERA ranking representability of pairwise bipartite ranking functions. Zbl 1225.68220Waegeman, Willem; De Baets, Bernard 3 2011 ...and 154 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,356 Authors 165 De Baets, Bernard 91 Mesiar, Radko 48 De Meyer, Hans E. 43 Torrens, Joan 39 Montes, Susana 38 Liu, Huawen 32 Bustince, Humberto 31 Úbeda-Flores, Manuel 29 Su, Yong 28 Kerre, Etienne E. 25 Fernández-Sánchez, Juan 23 Díaz, Susana 23 Durante, Fabrizio 22 Ruiz-Aguilera, Daniel 20 Kolesárová, Anna 20 Wang, Xueping 18 Baczynski, Michal 18 Qin, Feng 17 Jayaram, Balasubramaniam 17 Karaçal, Funda 16 Bedregal, Benjamín René Callejas 16 Mesiarová-Zemánková, Andrea 16 Monserrat, Miquel 16 Saminger-Platz, Susanne 15 Beliakov, Gleb 15 Wang, Zhudeng 14 Klement, Erich Peter 14 Medina, Jesús 14 Montes, Ignacio 13 Baetens, Jan M. 13 Çaylı, Gül Deniz 13 Demirci, Mustafa 13 Drygaś, Paweł 13 Dubois, Didier 13 Hu, Baoqing 13 Jenei, Sándor 13 Waegeman, Willem 12 Bentkowska (Dudziak), Urszula 12 Fernández Fernández, Francisco Javier 12 Maes, Koen C. 12 Omladič, Matjaž 12 Perfilieva, Irina G. 12 Pradera, Ana 12 Štěpnička, Martin 11 Fodor, János C. 11 Montero, Javier 11 Prade, Henri M. 11 Šešelja, Branimir 11 Zong, Wenwen 10 Bodenhofer, Ulrich 10 Calvo, Tomasa 10 Dimuro, Graçaliz Pereira 10 Jwaid, Tarad 10 Massanet, Sebastià 10 Qiao, Junsheng 10 Tepavčević, Andreja 9 Aşici, Emel 9 Ćirić, Miroslav D. 9 Deschrijver, Glad 9 Pérez-Fernández, Raúl 9 Wolnik, Barbara 8 Coletti, Giulianella 8 Díaz, Irene 8 Fono, Louis Aimé 8 Ignjatović, Jelena 8 Induráin, Esteban 8 Li, Gang 8 Martinetti, Davide 8 Ngo Van Hoa 8 Novák, Vilém 8 Pap, Endre 8 Quesada-Molina, José Juan 8 Rak, Ewa 8 Štajner-Papuga, Ivana 8 Xin, Xiaolong 8 Yager, Ronald R. 7 Barrenechea, Edurne 7 Bloch, Isabelle 7 De Loof, Karel 7 Di Martino, Ferdinando 7 Drewniak, Józef 7 García-Lapresta, José Luis 7 Jočić, Dragan 7 Kalina, Martin 7 Kesicioğlu, Mücahide Nesibe 7 Košir, Tomaž 7 Li, Pingke 7 Marques Pereira, Ricardo Alberto 7 Paternain, Daniel 7 Pȩkala, Barbara 7 Qu, Xiaobing 7 Rademaker, Michaël 7 Sessa, Salvatore 7 Sussner, Peter 7 Tsiporkova, Elena 7 Vantaggi, Barbara 7 Vetterlein, Thomas 7 Wang, Yaming 7 Xiong, Qingquan 7 Yang, Xiaopeng ...and 1,256 more Authors all top 5 Cited in 176 Serials 567 Fuzzy Sets and Systems 203 Information Sciences 87 International Journal of Approximate Reasoning 52 Soft Computing 45 Kybernetika 34 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 31 Iranian Journal of Fuzzy Systems 24 Fuzzy Optimization and Decision Making 23 European Journal of Operational Research 17 International Journal of General Systems 11 New Mathematics and Natural Computation 10 Journal of Intelligent and Fuzzy Systems 9 Journal of Mathematical Analysis and Applications 9 Social Choice and Welfare 8 Journal of Computational and Applied Mathematics 8 Machine Learning 8 Dependence Modeling 6 Applied Mathematics and Computation 6 Aequationes Mathematicae 6 Computational and Applied Mathematics 5 Physica D 5 Applied Mathematical Modelling 5 Computational Statistics and Data Analysis 5 Journal of Applied Non-Classical Logics 5 Complexity 5 Advances in Fuzzy Systems 4 Artificial Intelligence 4 Computers & Mathematics with Applications 4 Discrete Applied Mathematics 4 Nonlinear Analysis. 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A 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Computer and System Sciences 1 Journal of Mathematical Economics 1 Journal of Mathematical Psychology 1 Journal of Optimization Theory and Applications 1 Semigroup Forum 1 Studia Logica 1 Synthese 1 Theory and Decision 1 Operations Research Letters 1 Annals of Pure and Applied Logic 1 Revista Colombiana de Estadística 1 Journal of Classification ...and 76 more Serials all top 5 Cited in 40 Fields 734 Mathematical logic and foundations (03-XX) 382 Computer science (68-XX) 202 Order, lattices, ordered algebraic structures (06-XX) 200 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 187 Statistics (62-XX) 95 Operations research, mathematical programming (90-XX) 89 Probability theory and stochastic processes (60-XX) 57 Information and communication theory, circuits (94-XX) 45 General topology (54-XX) 42 Real functions (26-XX) 40 Measure and integration (28-XX) 38 Difference and functional equations (39-XX) 34 Systems theory; control (93-XX) 25 Numerical analysis (65-XX) 23 Ordinary differential equations (34-XX) 23 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 10 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 9 General algebraic systems (08-XX) 8 Functional analysis (46-XX) 7 Category theory; homological algebra (18-XX) 7 Approximations and expansions (41-XX) 7 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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