Edit Profile (opens in new tab) Torrens, Joan Co-Author Distance Author ID: torrens.joan Published as: Torrens, Joan; Torrens, J. Documents Indexed: 110 Publications since 1986 1 Contribution as Editor Co-Authors: 28 Co-Authors with 94 Joint Publications 646 Co-Co-Authors all top 5 Co-Authors 1 single-authored 28 Massanet, Sebastià 26 Monserrat, Miquel 25 Ruiz-Aguilera, Daniel 14 Riera, Juan Vicente 11 Suñer, Jaume 9 Mayor, Gaspar 8 Aguiló, Isabel 5 Mas, Margarita 5 Mesiar, Radko 4 Carbonell, Marc 4 Su, Yong 3 Calvo, Tomasa 3 Liu, Huawen 3 Pradera, Ana 3 Recasens, Jordi 3 Rosselló, Francesc 2 Alsina, Claudi 2 Casasnovas, Jaume 2 Fodor, János C. 2 Herrera-Viedma, Enrique 2 Tomás, Maria S. 2 Trillas, Enric 2 Valiente, Gabriel 2 Vicente Riera, J. 1 Burmeister, Peter 1 De Baets, Bernard 1 Drygaś, Paweł 1 Kolesárová, Anna 1 Martín, Javier 1 Mas, Margalida 1 Rosseló, F. all top 5 Serials 40 Fuzzy Sets and Systems 10 Information Sciences 10 International Journal of Approximate Reasoning 9 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 5 Kybernetika 3 International Journal of Intelligent Systems 2 International Journal of General Systems 2 Mathware & Soft Computing 1 Archiv der Mathematik 1 Theoretical Computer Science 1 Publicacions Matemàtiques 1 International Journal of Foundations of Computer Science 1 Aequationes Mathematicae 1 Serdica 1 Journal of Intelligent and Fuzzy Systems 1 IEEE Transactions on Fuzzy Systems all top 5 Fields 88 Mathematical logic and foundations (03-XX) 33 Computer science (68-XX) 13 Difference and functional equations (39-XX) 5 Information and communication theory, circuits (94-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Statistics (62-XX) 3 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,361 times in 521 Documents Cited by ▼ Year ▼ t-operators. Zbl 1087.03515 Mas, M.; Mayor, G.; Torrens, J. 99 1999 The distributivity condition for uninorms and t-operators. Zbl 1005.03047 Mas, M.; Mayor, G.; Torrens, J. 95 2002 Distributivity and conditional distributivity of a uninorm and a continuous t-conorm. Zbl 1355.03016 Ruiz, D.; Torrens, Joan 81 2006 On locally internal monotonic operations. Zbl 1022.03038 Martín, J.; Mayor, G.; Torrens, J. 66 2003 The modularity condition for uninorms and t-operators. Zbl 0996.03038 Mas, M.; Mayor, G.; Torrens, J. 55 2002 Triangular norms on discrete settings. Zbl 1079.03012 Mayor, Gaspar; Torrens, Joan 54 2005 On a class of operators for expert systems. Zbl 0785.68087 Mayor, G.; Torrens, J. 53 1993 A survey on the existing classes of uninorms. Zbl 1361.03022 Mas, M.; Massanet, S.; Ruiz-Aguilera, D.; Torrens, J. 52 2015 Residual implications and co-implications from idempotent uninorms. Zbl 1249.94095 Ruiz-Aguilera, Daniel; Torrens, Joan 51 2004 Two types of implications derived from uninorms. Zbl 1125.03018 Mas, M.; Monserrat, M.; Torrens, J. 44 2007 t-operators and uninorms on a finite totally ordered set. Zbl 0948.68173 Mas, M.; Mayor, G.; Torrens, J. 43 1999 Migrative uninorms and nullnorms over t-norms and t-conorms. Zbl 1360.68844 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 42 2015 A characterization of residual implications derived from left-continuous uninorms. Zbl 1204.03028 Aguiló, I.; Suñer, J.; Torrens, J. 41 2010 Distributivity of residual implications over conjunctive and disjunctive uninorms. Zbl 1114.03022 Ruiz-Aguilera, D.; Torrens, J. 39 2007 On a new class of fuzzy implications: \(h\)-implications and generalizations. Zbl 1252.03060 Massanet, Sebastia; Torrens, Joan 39 2011 S- and R-implications from uninorms continuous in \(]0,1[^2\) and their distributivity over uninorms. Zbl 1184.03014 Ruiz-Aguilera, D.; Torrens, J. 39 2009 A characterization of a class of uninorms with continuous underlying operators. Zbl 1392.03050 Drygaś, Paweł; Ruiz-Aguilera, Daniel; Torrens, Joan 39 2016 Idempotent uninorms on finite ordinal scales. Zbl 1178.03070 De Baets, Bernard; Fodor, János; Ruiz-Aguilera, Daniel; Torrens, Joan 38 2009 Distributive idempotent uninorms. Zbl 1074.03026 Ruiz, D.; Torrens, J. 33 2003 Distributivity of strong implications over conjunctive and disjunctive uninorms. Zbl 1249.03030 Ruiz-Aguilera, Daniel; Torrens, Joan 32 2006 QL-implications versus D-implications. Zbl 1249.03026 Mas, Margarita; Monserrat, Miquel; Torrens, Joan 29 2006 On left and right uninorms on a finite chain. Zbl 1045.03029 Mas, M.; Monserrat, M.; Torrens, J. 29 2004 An extension of the migrative property for uninorms. Zbl 1320.68193 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 28 2013 A new linguistic computational model based on discrete fuzzy numbers for computing with words. Zbl 1320.68194 Massanet, Sebastia; Riera, Juan Vicente; Torrens, Joan; Herrera-Viedma, Enrique 27 2014 On the distributivity property for uninorms. Zbl 1392.03052 Su, Yong; Liu, Hua-wen; Ruiz-Aguilera, Daniel; Vicente Riera, J.; Torrens, Joan 27 2016 The law of importation versus the exchange principle on fuzzy implications. Zbl 1222.03028 Massanet, Sebastia; Torrens, Joan 26 2011 On the representation of fuzzy rules. Zbl 1189.03033 Trillas, E.; Mas, M.; Monserrat, M.; Torrens, J. 26 2008 A characterization of (U,N), RU, QL and D-implications derived from uninorms satisfying the law of importation. Zbl 1195.03031 Mas, M.; Monserrat, M.; Torrens, J. 23 2010 Generation of weighting triangles associated with aggregation functions. Zbl 1113.68509 Calvo, T.; Mayor, G.; Torrens, J.; Suñer, J.; Mas, M.; Carbonell, M. 21 2000 Threshold generation method of construction of a new implication from two given ones. Zbl 1254.03057 Massanet, Sebastia; Torrens, Joan 21 2012 The law of importation for discrete implications. Zbl 1187.03023 Mas, M.; Monserrat, M.; Torrens, J. 20 2009 Continuous R-implications generated from representable aggregation functions. Zbl 1204.03032 Carbonell, M.; Torrens, J. 20 2010 On the characterization of Yager’s implications. Zbl 1277.03021 Massanet, Sebastia; Torrens, Joan 20 2012 On left and right uninorms. Zbl 1113.03341 Mas, M.; Monserrat, M.; Torrens, J. 19 2001 Aggregation operators with annihilator. Zbl 1081.68107 Mas, M.; Mesiar, R.; Monserrat, M.; Torrens, J. 19 2005 An overview of construction methods of fuzzy implications. Zbl 1311.03053 Massanet, Sebastià; Torrens, Joan 18 2013 \(S\)-implications and \(R\)-implications on a finite chain. Zbl 1249.94094 Mas, Margarita; Monserrat, Miquel; Torrens, Joan 17 2004 On migrative t-conorms and uninorms. Zbl 1252.03059 Mas, M.; Monserrat, M.; Ruiz-Aguilera, Daniel; Torrens, Joan 17 2012 Fuzzy implication functions based on powers of continuous t-norms. Zbl 1404.03024 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 14 2017 The distributivity equation for uninorms revisited. Zbl 1380.03056 Su, Yong; Liu, Hua-Wen; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 14 2018 Aggregation of subjective evaluations based on discrete fuzzy numbers. Zbl 1238.68163 Riera, J. Vicente; Torrens, Joan 14 2012 A characterization of discrete uninorms having smooth underlying operators. Zbl 1361.03027 Ruiz-Aguilera, D.; Torrens, J. 14 2015 On two types of discrete implications. Zbl 1084.03021 Mas, M.; Monserrat, M.; Torrens, J. 13 2005 On a family of t-norms. Zbl 0739.39006 Mayor, Gaspar; Torrens, Joan 13 1991 On the vertical threshold generation method of fuzzy implication and its properties. Zbl 1284.68552 Massanet, Sebastia; Torrens, Joan 13 2013 Residual implications on the set of discrete fuzzy numbers. Zbl 1321.03043 Riera, J. Vicente; Torrens, Joan 12 2013 Modus ponens and modus tollens in discrete implications. Zbl 1194.03023 Mas, M.; Monserrat, M.; Torrens, J. 11 2008 An axiomatic approach to fuzzy cardinalities of finite fuzzy sets. Zbl 1017.03032 Casasnovas, J.; Torrens, J. 11 2003 The migrativity equation for uninorms revisited. Zbl 1376.03053 Su, Yong; Liu, Hua-Wen; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 11 2017 Intersection of Yager’s implications with QL and D-implications. Zbl 1258.03028 Massanet, Sebastia; Torrens, Joan 10 2012 On distributivity and modularity in De Morgan triplets. Zbl 1232.03038 Carbonell, M.; Mas, M.; Suñer, J.; Torrens, J. 10 1996 Matrix representation of discrete quasi-copulas. Zbl 05599423 Aguiló, I.; Suñer, J.; Torrens, J. 10 2008 The modularity condition for uninorms revisited. Zbl 1423.03228 Su, Yong; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 10 2019 New types of contrapositivisation of fuzzy implications with respect to fuzzy negations. Zbl 1387.03017 Aguiló, I.; Suñer, J.; Torrens, J. 9 2015 On quasi-homogeneous copulas. Zbl 1196.62058 Mayor, Gaspar; Mesiar, Radko; Torrens, Joan 9 2008 RU and \((U,N)\)-implications satisfying modus ponens. Zbl 1348.03024 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 8 2016 Kernel aggregation functions on finite scales. Constructions from their marginals. Zbl 1315.68240 Mas, M.; Monserrat, M.; Torrens, J. 8 2014 On fuzzy implications: an axiomatic approach. Zbl 1316.03032 Massanet, Sebastia; Mayor, Gaspar; Mesiar, Radko; Torrens, Joan 8 2013 Duality for a class of binary operations on [0, 1]. Zbl 0757.39006 Mayor, G.; Torrens, J. 7 1992 A new look on the ordinal sum of fuzzy implication functions. Zbl 1452.03076 Massanet, Sebastia; Riera, Juan Vicente; Torrens, Joan 7 2016 Some remarks on the solutions to the functional equation \(I(x,y) = I(x,I(x,y))\) for D-operations. Zbl 1207.03034 Massanet, Sebastià; Torrens, Joan 7 2010 On some properties of threshold generated implications. Zbl 1254.03056 Massanet, Sebastia; Torrens, Joan 7 2012 Smooth t-subnorms on finite scales. Zbl 1231.03028 Mas, M.; Monserrat, M.; Torrens, J. 6 2011 Scalar cardinalities of finite fuzzy sets for t-norms and t-conorms. Zbl 1073.03032 Casasnovas, J.; Torrens, J. 6 2003 Subdistributive De Morgan triplets. Zbl 0826.04003 Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J. 6 1993 Uninorm based residual implications satisfying the modus ponens property with respect to a uninorm. Zbl 1423.03082 Mas, Margarita; Ruiz-Aguilera, Daniel; Torrens, Joan 6 2019 Migrativity of uninorms over t-norms and t-conorms. Zbl 1277.03020 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 6 2013 A characterization of a class of aggregation functions. Zbl 0788.04004 Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J. 5 1993 On the reversibility of uninorms and t-operators. Zbl 1012.03034 Monserrat, Miquel; Torrens, Joan 5 2002 Aggregation functions on the set of discrete fuzzy numbers defined from a pair of discrete aggregations. Zbl 1315.68247 Vicente Riera, J.; Torrens, Joan 5 2014 Corrigendum to “Fuzzy implication functions based on powers of continuous t-norms”. Zbl 1446.03057 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 5 2019 Uninorms and nullnorms on the set of discrete fuzzy numbers. Zbl 1254.03106 Riera, Juan Vicente; Torrens, Joan 5 2011 A construction method of semicopulas from fuzzy negations. Zbl 1284.03171 Aguiló, I.; Suñer, J.; Torrens, J. 5 2013 Solutions of equation \(I(x,y) = I(x,I(x,y))\) for implications derived from uninorms. Zbl 1284.03186 Massanet, Sebastia; Torrens, Joan 4 2011 Algebraic transformation of unary partial algebras. I: Double-pushout approach. Zbl 0896.08006 Burmeister, P.; Rosselló, F.; Torrens, J.; Valiente, G. 4 1997 When is a category of many-sorted partial algebras cartesian-closed? Zbl 0851.18006 Monserrat, M.; Rosselló, F.; Torrens, J. 4 1995 Matrix representation of copulas and quasi-copulas defined on non-square grids of the unit square. Zbl 1182.62117 Aguiló, I.; Suñer, J.; Torrens, J. 4 2010 Some characterizations of \(T\)-power based implications. Zbl 1423.03084 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 4 2019 On a generalization of the modus ponens: \(U\)-conditionality. Zbl 1452.03075 Mas, Margalida; Monserrat, Miquel; Ruiz-Aguilera, Daniel; Torrens, Joan 4 2016 On some classes of idempotent operators. Zbl 1232.03042 Mayor, G.; Torrens, J. 3 1997 On the \(N^ *\)-metric completion of regular rings. Zbl 0588.16007 Torrens, Joan 3 1986 De Rham systems and the solution of a class of functional equations. Zbl 0802.39008 Mayor, G.; Torrens, J. 3 1994 A model based on subjective linguistic preference relations for group decision making problems. Zbl 1429.91117 Massanet, Sebastia; Vicente Riera, Juan; Torrens, Joan; Herrera-Viedma, Enrique 3 2016 Generation of multi-dimensional aggregation functions. Zbl 0955.03060 Mas, M.; Mayor, G.; Suñer, J.; Torrens, J. 2 1998 Conjecturing from consequences. Zbl 1194.03016 Trillas, Enric; Mas, Margarita; Monserrat, Miquel; Torrens, Joan 2 2009 Hypergraph rewriting using conformisms. Zbl 0911.68091 Monserrat, M.; Rosselló, F.; Torrens, J.; Valiente, G. 2 1995 Using discrete fuzzy numbers in the aggregation of incomplete qualitative information. Zbl 1360.68846 Riera, J. Vicente; Torrens, Joan 2 2015 An overview of fuzzy logic connectives on the unit interval. Zbl 1368.03028 Fodor, János; Torrens, Joan 2 2015 From three to one: equivalence and characterization of material implications derived from co-copulas, probabilistic \(S\)-implications and survival \(S\)-implications. Zbl 1394.03044 Massanet, S.; Pradera, A.; Ruiz-Aguilera, D.; Torrens, J. 2 2017 On a generalization of Yager’s implications. Zbl 1252.03061 Massanet, Sebastià; Torrens, Joan 2 2012 The non-contradiction principle related to natural negations of fuzzy implication functions. Zbl 1423.03089 Pradera, A.; Massanet, S.; Ruiz-Aguilera, D.; Torrens, J. 2 2019 A new method of generating fuzzy implications from given ones. Zbl 1254.03058 Massanet, Sebastià; Torrens, Joan 2 2011 Fuzzy implications defined on the set of discrete fuzzy numbers. Zbl 1254.03062 Riera, Juan Vicente; Torrens, Joan 2 2011 Polynomial constructions of fuzzy implication functions: the quadratic case. Zbl 1451.03021 Kolesárová, Anna; Massanet, Sebastia; Mesiar, Radko; Riera, Juan Vicente; Torrens, Joan 1 2019 How to modify a fuzzy implication function to satisfy a desired property. Zbl 1448.03016 Aguiló, I.; Suñer, J.; Torrens, J. 1 2018 A new look on fuzzy implication functions: \(FNI\)-implications. Zbl 1452.68198 Aguiló, Isabel; Suñer, Jaume; Torrens, Joan 1 2016 Modus tollens with respect to uninorms: \(U\)-modus tollens. Zbl 1477.03078 Aguiló, Isabel; Riera, Juan Vicente; Suñer, Jaume; Torrens, Joan 1 2020 Generalized modus ponens for \((U, N)\)-implications. Zbl 1512.03050 Mas, M.; Ruiz-Aguilera, D.; Torrens, Joan 1 2018 Modus tollens with respect to uninorms: \(U\)-modus tollens. Zbl 1477.03078 Aguiló, Isabel; Riera, Juan Vicente; Suñer, Jaume; Torrens, Joan 1 2020 The modularity condition for uninorms revisited. Zbl 1423.03228 Su, Yong; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 10 2019 Uninorm based residual implications satisfying the modus ponens property with respect to a uninorm. Zbl 1423.03082 Mas, Margarita; Ruiz-Aguilera, Daniel; Torrens, Joan 6 2019 Corrigendum to “Fuzzy implication functions based on powers of continuous t-norms”. Zbl 1446.03057 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 5 2019 Some characterizations of \(T\)-power based implications. Zbl 1423.03084 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 4 2019 The non-contradiction principle related to natural negations of fuzzy implication functions. Zbl 1423.03089 Pradera, A.; Massanet, S.; Ruiz-Aguilera, D.; Torrens, J. 2 2019 Polynomial constructions of fuzzy implication functions: the quadratic case. Zbl 1451.03021 Kolesárová, Anna; Massanet, Sebastia; Mesiar, Radko; Riera, Juan Vicente; Torrens, Joan 1 2019 The distributivity equation for uninorms revisited. Zbl 1380.03056 Su, Yong; Liu, Hua-Wen; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 14 2018 How to modify a fuzzy implication function to satisfy a desired property. Zbl 1448.03016 Aguiló, I.; Suñer, J.; Torrens, J. 1 2018 Generalized modus ponens for \((U, N)\)-implications. Zbl 1512.03050 Mas, M.; Ruiz-Aguilera, D.; Torrens, Joan 1 2018 Fuzzy implication functions based on powers of continuous t-norms. Zbl 1404.03024 Massanet, Sebastia; Recasens, Jordi; Torrens, Joan 14 2017 The migrativity equation for uninorms revisited. Zbl 1376.03053 Su, Yong; Liu, Hua-Wen; Riera, J. V.; Ruiz-Aguilera, D.; Torrens, J. 11 2017 From three to one: equivalence and characterization of material implications derived from co-copulas, probabilistic \(S\)-implications and survival \(S\)-implications. Zbl 1394.03044 Massanet, S.; Pradera, A.; Ruiz-Aguilera, D.; Torrens, J. 2 2017 A characterization of a class of uninorms with continuous underlying operators. Zbl 1392.03050 Drygaś, Paweł; Ruiz-Aguilera, Daniel; Torrens, Joan 39 2016 On the distributivity property for uninorms. Zbl 1392.03052 Su, Yong; Liu, Hua-wen; Ruiz-Aguilera, Daniel; Vicente Riera, J.; Torrens, Joan 27 2016 RU and \((U,N)\)-implications satisfying modus ponens. Zbl 1348.03024 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 8 2016 A new look on the ordinal sum of fuzzy implication functions. Zbl 1452.03076 Massanet, Sebastia; Riera, Juan Vicente; Torrens, Joan 7 2016 On a generalization of the modus ponens: \(U\)-conditionality. Zbl 1452.03075 Mas, Margalida; Monserrat, Miquel; Ruiz-Aguilera, Daniel; Torrens, Joan 4 2016 A model based on subjective linguistic preference relations for group decision making problems. Zbl 1429.91117 Massanet, Sebastia; Vicente Riera, Juan; Torrens, Joan; Herrera-Viedma, Enrique 3 2016 A new look on fuzzy implication functions: \(FNI\)-implications. Zbl 1452.68198 Aguiló, Isabel; Suñer, Jaume; Torrens, Joan 1 2016 A survey on the existing classes of uninorms. Zbl 1361.03022 Mas, M.; Massanet, S.; Ruiz-Aguilera, D.; Torrens, J. 52 2015 Migrative uninorms and nullnorms over t-norms and t-conorms. Zbl 1360.68844 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 42 2015 A characterization of discrete uninorms having smooth underlying operators. Zbl 1361.03027 Ruiz-Aguilera, D.; Torrens, J. 14 2015 New types of contrapositivisation of fuzzy implications with respect to fuzzy negations. Zbl 1387.03017 Aguiló, I.; Suñer, J.; Torrens, J. 9 2015 Using discrete fuzzy numbers in the aggregation of incomplete qualitative information. Zbl 1360.68846 Riera, J. Vicente; Torrens, Joan 2 2015 An overview of fuzzy logic connectives on the unit interval. Zbl 1368.03028 Fodor, János; Torrens, Joan 2 2015 A new linguistic computational model based on discrete fuzzy numbers for computing with words. Zbl 1320.68194 Massanet, Sebastia; Riera, Juan Vicente; Torrens, Joan; Herrera-Viedma, Enrique 27 2014 Kernel aggregation functions on finite scales. Constructions from their marginals. Zbl 1315.68240 Mas, M.; Monserrat, M.; Torrens, J. 8 2014 Aggregation functions on the set of discrete fuzzy numbers defined from a pair of discrete aggregations. Zbl 1315.68247 Vicente Riera, J.; Torrens, Joan 5 2014 An extension of the migrative property for uninorms. Zbl 1320.68193 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 28 2013 An overview of construction methods of fuzzy implications. Zbl 1311.03053 Massanet, Sebastià; Torrens, Joan 18 2013 On the vertical threshold generation method of fuzzy implication and its properties. Zbl 1284.68552 Massanet, Sebastia; Torrens, Joan 13 2013 Residual implications on the set of discrete fuzzy numbers. Zbl 1321.03043 Riera, J. Vicente; Torrens, Joan 12 2013 On fuzzy implications: an axiomatic approach. Zbl 1316.03032 Massanet, Sebastia; Mayor, Gaspar; Mesiar, Radko; Torrens, Joan 8 2013 Migrativity of uninorms over t-norms and t-conorms. Zbl 1277.03020 Mas, M.; Monserrat, M.; Ruiz-Aguilera, D.; Torrens, J. 6 2013 A construction method of semicopulas from fuzzy negations. Zbl 1284.03171 Aguiló, I.; Suñer, J.; Torrens, J. 5 2013 Threshold generation method of construction of a new implication from two given ones. Zbl 1254.03057 Massanet, Sebastia; Torrens, Joan 21 2012 On the characterization of Yager’s implications. Zbl 1277.03021 Massanet, Sebastia; Torrens, Joan 20 2012 On migrative t-conorms and uninorms. Zbl 1252.03059 Mas, M.; Monserrat, M.; Ruiz-Aguilera, Daniel; Torrens, Joan 17 2012 Aggregation of subjective evaluations based on discrete fuzzy numbers. Zbl 1238.68163 Riera, J. Vicente; Torrens, Joan 14 2012 Intersection of Yager’s implications with QL and D-implications. Zbl 1258.03028 Massanet, Sebastia; Torrens, Joan 10 2012 On some properties of threshold generated implications. Zbl 1254.03056 Massanet, Sebastia; Torrens, Joan 7 2012 On a generalization of Yager’s implications. Zbl 1252.03061 Massanet, Sebastià; Torrens, Joan 2 2012 On a new class of fuzzy implications: \(h\)-implications and generalizations. Zbl 1252.03060 Massanet, Sebastia; Torrens, Joan 39 2011 The law of importation versus the exchange principle on fuzzy implications. Zbl 1222.03028 Massanet, Sebastia; Torrens, Joan 26 2011 Smooth t-subnorms on finite scales. Zbl 1231.03028 Mas, M.; Monserrat, M.; Torrens, J. 6 2011 Uninorms and nullnorms on the set of discrete fuzzy numbers. Zbl 1254.03106 Riera, Juan Vicente; Torrens, Joan 5 2011 Solutions of equation \(I(x,y) = I(x,I(x,y))\) for implications derived from uninorms. Zbl 1284.03186 Massanet, Sebastia; Torrens, Joan 4 2011 A new method of generating fuzzy implications from given ones. Zbl 1254.03058 Massanet, Sebastià; Torrens, Joan 2 2011 Fuzzy implications defined on the set of discrete fuzzy numbers. Zbl 1254.03062 Riera, Juan Vicente; Torrens, Joan 2 2011 A characterization of residual implications derived from left-continuous uninorms. Zbl 1204.03028 Aguiló, I.; Suñer, J.; Torrens, J. 41 2010 A characterization of (U,N), RU, QL and D-implications derived from uninorms satisfying the law of importation. Zbl 1195.03031 Mas, M.; Monserrat, M.; Torrens, J. 23 2010 Continuous R-implications generated from representable aggregation functions. Zbl 1204.03032 Carbonell, M.; Torrens, J. 20 2010 Some remarks on the solutions to the functional equation \(I(x,y) = I(x,I(x,y))\) for D-operations. Zbl 1207.03034 Massanet, Sebastià; Torrens, Joan 7 2010 Matrix representation of copulas and quasi-copulas defined on non-square grids of the unit square. Zbl 1182.62117 Aguiló, I.; Suñer, J.; Torrens, J. 4 2010 S- and R-implications from uninorms continuous in \(]0,1[^2\) and their distributivity over uninorms. Zbl 1184.03014 Ruiz-Aguilera, D.; Torrens, J. 39 2009 Idempotent uninorms on finite ordinal scales. Zbl 1178.03070 De Baets, Bernard; Fodor, János; Ruiz-Aguilera, Daniel; Torrens, Joan 38 2009 The law of importation for discrete implications. Zbl 1187.03023 Mas, M.; Monserrat, M.; Torrens, J. 20 2009 Conjecturing from consequences. Zbl 1194.03016 Trillas, Enric; Mas, Margarita; Monserrat, Miquel; Torrens, Joan 2 2009 On the representation of fuzzy rules. Zbl 1189.03033 Trillas, E.; Mas, M.; Monserrat, M.; Torrens, J. 26 2008 Modus ponens and modus tollens in discrete implications. Zbl 1194.03023 Mas, M.; Monserrat, M.; Torrens, J. 11 2008 Matrix representation of discrete quasi-copulas. Zbl 05599423 Aguiló, I.; Suñer, J.; Torrens, J. 10 2008 On quasi-homogeneous copulas. Zbl 1196.62058 Mayor, Gaspar; Mesiar, Radko; Torrens, Joan 9 2008 Two types of implications derived from uninorms. Zbl 1125.03018 Mas, M.; Monserrat, M.; Torrens, J. 44 2007 Distributivity of residual implications over conjunctive and disjunctive uninorms. Zbl 1114.03022 Ruiz-Aguilera, D.; Torrens, J. 39 2007 Distributivity and conditional distributivity of a uninorm and a continuous t-conorm. Zbl 1355.03016 Ruiz, D.; Torrens, Joan 81 2006 Distributivity of strong implications over conjunctive and disjunctive uninorms. Zbl 1249.03030 Ruiz-Aguilera, Daniel; Torrens, Joan 32 2006 QL-implications versus D-implications. Zbl 1249.03026 Mas, Margarita; Monserrat, Miquel; Torrens, Joan 29 2006 Triangular norms on discrete settings. Zbl 1079.03012 Mayor, Gaspar; Torrens, Joan 54 2005 Aggregation operators with annihilator. Zbl 1081.68107 Mas, M.; Mesiar, R.; Monserrat, M.; Torrens, J. 19 2005 On two types of discrete implications. Zbl 1084.03021 Mas, M.; Monserrat, M.; Torrens, J. 13 2005 Residual implications and co-implications from idempotent uninorms. Zbl 1249.94095 Ruiz-Aguilera, Daniel; Torrens, Joan 51 2004 On left and right uninorms on a finite chain. Zbl 1045.03029 Mas, M.; Monserrat, M.; Torrens, J. 29 2004 \(S\)-implications and \(R\)-implications on a finite chain. Zbl 1249.94094 Mas, Margarita; Monserrat, Miquel; Torrens, Joan 17 2004 On locally internal monotonic operations. Zbl 1022.03038 Martín, J.; Mayor, G.; Torrens, J. 66 2003 Distributive idempotent uninorms. Zbl 1074.03026 Ruiz, D.; Torrens, J. 33 2003 An axiomatic approach to fuzzy cardinalities of finite fuzzy sets. Zbl 1017.03032 Casasnovas, J.; Torrens, J. 11 2003 Scalar cardinalities of finite fuzzy sets for t-norms and t-conorms. Zbl 1073.03032 Casasnovas, J.; Torrens, J. 6 2003 The distributivity condition for uninorms and t-operators. Zbl 1005.03047 Mas, M.; Mayor, G.; Torrens, J. 95 2002 The modularity condition for uninorms and t-operators. Zbl 0996.03038 Mas, M.; Mayor, G.; Torrens, J. 55 2002 On the reversibility of uninorms and t-operators. Zbl 1012.03034 Monserrat, Miquel; Torrens, Joan 5 2002 On left and right uninorms. Zbl 1113.03341 Mas, M.; Monserrat, M.; Torrens, J. 19 2001 Generation of weighting triangles associated with aggregation functions. Zbl 1113.68509 Calvo, T.; Mayor, G.; Torrens, J.; Suñer, J.; Mas, M.; Carbonell, M. 21 2000 t-operators. Zbl 1087.03515 Mas, M.; Mayor, G.; Torrens, J. 99 1999 t-operators and uninorms on a finite totally ordered set. Zbl 0948.68173 Mas, M.; Mayor, G.; Torrens, J. 43 1999 Generation of multi-dimensional aggregation functions. Zbl 0955.03060 Mas, M.; Mayor, G.; Suñer, J.; Torrens, J. 2 1998 Algebraic transformation of unary partial algebras. I: Double-pushout approach. Zbl 0896.08006 Burmeister, P.; Rosselló, F.; Torrens, J.; Valiente, G. 4 1997 On some classes of idempotent operators. Zbl 1232.03042 Mayor, G.; Torrens, J. 3 1997 On distributivity and modularity in De Morgan triplets. Zbl 1232.03038 Carbonell, M.; Mas, M.; Suñer, J.; Torrens, J. 10 1996 When is a category of many-sorted partial algebras cartesian-closed? Zbl 0851.18006 Monserrat, M.; Rosselló, F.; Torrens, J. 4 1995 Hypergraph rewriting using conformisms. Zbl 0911.68091 Monserrat, M.; Rosselló, F.; Torrens, J.; Valiente, G. 2 1995 De Rham systems and the solution of a class of functional equations. Zbl 0802.39008 Mayor, G.; Torrens, J. 3 1994 On a class of operators for expert systems. Zbl 0785.68087 Mayor, G.; Torrens, J. 53 1993 Subdistributive De Morgan triplets. Zbl 0826.04003 Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J. 6 1993 A characterization of a class of aggregation functions. Zbl 0788.04004 Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J. 5 1993 Duality for a class of binary operations on [0, 1]. Zbl 0757.39006 Mayor, G.; Torrens, J. 7 1992 On a family of t-norms. Zbl 0739.39006 Mayor, Gaspar; Torrens, Joan 13 1991 On the \(N^ *\)-metric completion of regular rings. Zbl 0588.16007 Torrens, Joan 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 420 Authors 65 Torrens, Joan 46 Liu, Huawen 37 Su, Yong 30 Massanet, Sebastià 29 Mesiar, Radko 28 Qin, Feng 27 Baczynski, Michal 26 Ruiz-Aguilera, Daniel 22 Bedregal, Benjamín René Callejas 18 Monserrat, Miquel 17 Mesiarová-Zemánková, Andrea 16 Zong, Wenwen 15 Hu, Baoqing 15 Qiao, Junsheng 14 Jayaram, Balasubramaniam 14 Wang, Zhudeng 12 Jočić, Dragan 12 Riera, Juan Vicente 12 Štajner-Papuga, Ivana 11 De Baets, Bernard 11 Pradera, Ana 10 Bustince Sola, Humberto 10 Dimuro, Graçaliz Pereira 10 Drygaś, Paweł 9 Çaylı, Gül Deniz 9 Rak, Ewa 9 Reiser, Renata Hax Sander 9 Suñer, Jaume 8 Aguiló, Isabel 8 Gómez, Daniel Armando 8 Li, Gang 8 Montero, Javier 7 Durante, Fabrizio 7 Fernández-Sánchez, Juan 7 Karaçal, Funda 7 Kesicioğlu, Mücahide Nesibe 7 Kolesárová, Anna 7 Recasens, Jordi 7 Santiago, Regivan H. Nunes 7 Xie, Aifang 7 Zhu, Kuanyun 6 Kalina, Martin 6 Li, Wen-Huang 6 Liu, Xinwang 6 Mayor, Gaspar 6 Rodríguez, J. Tinguaro 6 Rosselló, Francesc 6 Wang, Yaming 6 Zhao, Bin 6 Zhou, Hongjun 5 Beliakov, Gleb 5 Fodor, János C. 5 Hao, Xiaoying 5 Herrera-Viedma, Enrique 5 Niemyska, Wanda 5 Niu, Meixia 5 Pedrycz, Witold 5 Úbeda-Flores, Manuel 5 Vemuri, Nageswara Rao 5 Wang, Jingru 5 Yang, Yongwei 5 Zhang, Fengxia 4 Calvo, Tomasa 4 Cao, Meng 4 Cornejo, Maria Eugenia 4 Dan, Yexing 4 Ertuğrul, Ümit 4 Fernández Fernández, Francisco Javier 4 García-Cerdaña, Àngel 4 Klement, Erich Peter 4 Král’, Pavol 4 Mas, Margarita 4 Mir, Arnau 4 Navara, Mirko 4 Ramírez-Poussa, Eloisa 4 Rojas, Karina 4 Saminger-Platz, Susanne 4 Sempi, Carlo 4 Trillas, Enric 4 Xu, Zeshui 4 Zhan, Hang 4 Zhang, Tinghai 4 Zhao, Yuanyuan 3 Aliev, Rafik Aziz 3 Armengol, Eva 3 Aşici, Emel 3 Boixader, Dionis 3 Casasnovas, Jaume 3 Drewniak, Józef 3 Esteva, Francesc 3 González-Barrios, José María 3 Grzegorzewski, Przemysław 3 Helbin, Piotr 3 Hliněná, Dana 3 Llabrés, Mercè 3 Lu, Jing 3 Medina, Jesús 3 Ouyang, Yao 3 Qu, Xiaobing 3 Sun, Feng ...and 320 more Authors all top 5 Cited in 43 Serials 207 Fuzzy Sets and Systems 85 Information Sciences 68 International Journal of Approximate Reasoning 23 Kybernetika 16 Iranian Journal of Fuzzy Systems 15 Soft Computing 10 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 7 Journal of Intelligent and Fuzzy Systems 6 Aequationes Mathematicae 4 Computational and Applied Mathematics 3 European Journal of Operational Research 3 International Transactions in Operational Research 2 Communications in Algebra 2 International Journal of General Systems 2 Semigroup Forum 2 Theoretical Computer Science 2 International Journal of Intelligent Systems 2 Filomat 2 Journal of Mathematics 1 Artificial Intelligence 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Multivariate Analysis 1 Mathematica Slovaca 1 Transactions of the American Mathematical Society 1 Annals of Operations Research 1 International Journal of Foundations of Computer Science 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Annals of Mathematics and Artificial Intelligence 1 Complexity 1 Informatica (Vilnius) 1 International Journal of Applied Mathematics and Computer Science 1 The ANZIAM Journal 1 Journal of Algebra and its Applications 1 Fuzzy Optimization and Decision Making 1 New Mathematics and Natural Computation 1 Logica Universalis 1 Symmetry 1 Dependence Modeling 1 Algebra 1 AIMS Mathematics all top 5 Cited in 28 Fields 389 Mathematical logic and foundations (03-XX) 111 Computer science (68-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Difference and functional equations (39-XX) 32 Statistics (62-XX) 12 Real functions (26-XX) 10 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 8 Operations research, mathematical programming (90-XX) 7 Group theory and generalizations (20-XX) 6 General algebraic systems (08-XX) 5 Measure and integration (28-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX) Citations by Year