Edit Profile (opens in new tab) Klement, Erich Peter Co-Author Distance Author ID: klement.erich-peter Published as: Klement, Erich Peter; Klement, E. P.; Klement, Peter Erich; Klement, E. Peter; Klement, P. more...less Homepage: https://www.flll.jku.at/staff/epk External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 119 Publications since 1962, including 3 Books 17 Contributions as Editor Co-Authors: 51 Co-Authors with 109 Joint Publications 1,402 Co-Co-Authors all top 5 Co-Authors 27 single-authored 63 Mesiar, Radko 28 Pap, Endre 14 Saminger-Platz, Susanne 12 Kolesárová, Anna 8 Butnariu, Dan 7 Navara, Mirko 5 Durante, Fabrizio 5 Höhle, Ulrich 4 Moser, Bernhard Alois 4 Ralescu, Dan A. 4 Šeliga, Adam 4 Sempi, Carlo 3 Bodenhofer, Ulrich 3 Cintula, Petr 3 Weber, Siegfried 2 Dibala, Michal 2 Dubois, Didier 2 Li, Jun 2 Manzi, Maddalena 2 Prade, Henri M. 2 Puri, Madan Lal 2 Quesada-Molina, José Juan 2 Rodabaugh, Stephen Ernest 2 Schwyhla, Werner 2 Stupňanová, Andrea 1 Arias García, J. J. 1 Arias García, José De Jesús 1 Baczynski, Michal 1 De Baets, Bernard 1 Drobics, Mario 1 Flaminio, Tommaso 1 Godo, Lluís 1 Gottwald, Siegfried 1 Grabisch, Michel 1 Groißböck, Werner 1 Hájek, Petr 1 Hekrdla, Josef 1 Jenei, Sándor 1 Kauers, Manuel 1 Kóczy, László T. 1 Konzel, R. 1 Leikermoser, Albert 1 Lowen, Robert 1 Lughofer, Edwin 1 Sarkoci, Peter 1 Slany, Wolfgang 1 Spizzichino, Fabio L. 1 Stout, Lawrence Neff 1 Tsiporkova, Elena 1 Úbeda-Flores, Manuel 1 Zafrany, Samy all top 5 Serials 35 Fuzzy Sets and Systems 7 Kybernetika 5 Journal of Mathematical Analysis and Applications 4 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3 Information Sciences 3 Dependence Modeling 2 Theory and Decision Library. Series B: Mathematical and Statistical Methods 2 Trends in Logic – Studia Logica Library 1 International Journal of General Systems 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Rocky Mountain Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Game Theory 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Publicationes Mathematicae Debrecen 1 Semigroup Forum 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Bulletin pour les Sous Ensembles Flous et Leurs Applications 1 International Journal of Approximate Reasoning 1 Aequationes Mathematicae 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Tatra Mountains Mathematical Publications 1 Statistical Papers 1 Mathematical Logic Quarterly (MLQ) 1 Mathware & Soft Computing 1 Soft Computing 1 Journal of Inequalities and Applications 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Multiple-Valued Logic and Soft Computing 1 Fuzzy Optimization and Decision Making 1 Mediterranean Journal of Mathematics 1 New Mathematics and Natural Computation 1 Österreichisches Ingenieur-Archiv 1 Lecture Notes in Computer Science 1 Schriftenreihe für Mathematik 1 Theory and Decision Library. Series C: Game Theory, Mathematical Programming and Operations Research 1 Applied Logic Series 1 Journal of Mathematical Inequalities 1 Axioms 1 Mathematics 1 European Journal of Mathematics all top 5 Fields 72 Mathematical logic and foundations (03-XX) 37 Measure and integration (28-XX) 29 Probability theory and stochastic processes (60-XX) 26 Statistics (62-XX) 17 General and overarching topics; collections (00-XX) 13 Real functions (26-XX) 13 Computer science (68-XX) 9 General topology (54-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 4 Systems theory; control (93-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 3,434 times in 2,434 Documents Cited by ▼ Year ▼ Triangular norms. Zbl 0972.03002Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1,306 2000 Limit theorems for fuzzy random variables. Zbl 0605.60038Klement, E. P.; Puri, M. L.; Ralescu, D. A. 208 1986 Triangular norm-based measures and games with fuzzy coalitions. Zbl 0804.90145Butnariu, Dan; Klement, Erich Peter 118 1993 Archimedean components of triangular norms. Zbl 1087.20041Klement, Erich Peter; Mesiar, Radko; Pap, Endre 78 2005 Conjunctors and their residual implicators: characterizations and construction methods. Zbl 1139.03014Durante, Fabrizio; Klement, Erich Peter; Mesiar, Radko; Sempi, Carlo 77 2007 Triangular norms. Position paper I: Basic analytical and algebraic properties. Zbl 1038.03027Klement, Erich Peter; Mesiar, Radko; Pap, Endre 77 2004 Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford. Zbl 1007.20054Klement, E. P.; Mesiar, R.; Pap, E. 67 2002 On the relationship of associative compensatory operators to triangular norms and conorms. Zbl 1232.03041Klement, Erich Peter; Mesiar, Radko; Pap, Endre 60 1996 Construction of fuzzy sigma-algebras using triangular norms. Zbl 0491.28003Klement, E. P. 56 1982 Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms. Zbl 0953.26008Klement, Erich Peter; Mesiar, Radko; Pap, Endre 55 1999 Fuzzy \(\sigma\)-algebras and fuzzy measurable functions. Zbl 0444.28001Klement, Erich Peter 51 1980 A survey on different triangular norm-based fuzzy logics. Zbl 0945.03032Klement, Erich Peter; Navara, Mirko 48 1999 Triangular norms. Position paper II: General constructions and parameterized families. Zbl 1059.03012Klement, Erich Peter; Mesiar, Radko; Pap, Endre 48 2004 Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Zbl 0991.28014Klement, Erich Peter; Mesiar, Radko; Pap, Endre 43 2000 On extensions of triangular norms on bounded lattices. Zbl 1171.03011Saminger-Platz, Susanne; Klement, Erich Peter; Mesiar, Radko 42 2008 Extension to copulas and quasi-copulas as special \(1\)-Lipschitz aggregation operators. Zbl 1249.60017Klement, Erich Peter; Kolesárová, Anna 42 2005 Triangular norm-based measures and their Markov kernel representation. Zbl 0751.60003Butnariu, Dan; Klement, Erich Peter 40 1991 Triangular norms. Position paper III: Continuous t-norms. Zbl 1059.03013Klement, Erich Peter; Mesiar, Radko; Pap, Endre 35 2004 Integrals based on monotone set functions. Zbl 1368.28008Klement, Erich Peter; Li, Jun; Mesiar, Radko; Pap, Endre 34 2015 Generalized measures. Zbl 0733.28012Klement, Erich Peter; Weber, Siegfried 32 1991 Universal integrals based on copulas. Zbl 1428.28024Klement, Erich Peter; Mesiar, Radko; Spizzichino, Fabio; Stupňanová, Andrea 32 2014 How non-symmetric can a copula be? Zbl 1150.62027Klement, Erich Peter; Mesiar, Radko 32 2006 Copulas constructed from horizontal sections. Zbl 1130.60017Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Sempi, Carlo 31 2007 Logical, algebraic, analytic and probabilistic aspects of triangular norms. Selected papers from the 24th Linz seminar on fuzzy set theory, Linz, Austria, February 4–8, 2003. Zbl 1063.03003 31 2005 Transformations of copulas. Zbl 1243.62019Klement, Erich Peter; Mesiar, Radko; Pap, Endre 29 2005 Fuzzy probability measures. Zbl 0447.28005Klement, Erich Peter; Schwyhla, Werner; Lowen, Robert 27 1981 Operations on fuzzy sets and fuzzy numbers related to triangular norms. Zbl 0547.04003Klement, E. P. 26 1981 On triangular norm-based propositional fuzzy logics. Zbl 0844.03011Butnariu, Dan; Klement, Erich Peter; Zafrany, Samy 26 1995 Measure-based aggregation operators. Zbl 1046.28011Klement, Erich Peter; Mesiar, Radko; Pap, Endre 26 2004 Measures of non-exchangeability for bivariate random vectors. Zbl 1247.60047Durante, Fabrizio; Klement, Erich Peter; Sempi, Carlo; Úbeda-Flores, Manuel 25 2010 Characterization of fuzzy measures constructed by means of triangular norms. Zbl 0491.28004Klement, E. P. 25 1982 Invariant copulas. Zbl 1264.62045Klement, Erich Peter; Mesiar, Radko; Pap, Endre 25 2002 Operations on fuzzy sets - an axiomatic approach. Zbl 0515.03036Klement, Erich Peter 23 1982 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 23 2003 Archimax copulas and invariance under transformations. Zbl 1126.62040Klement, Erich Peter; Mesiar, Radko; Pap, Endre 22 2005 Characterization of finite fuzzy measures using Markoff-kernels. Zbl 0471.60008Klement, E. P. 21 1980 Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section. Zbl 1138.60016Klement, Erich Peter; Kolesárová, Anna 21 2007 Convergence theorems for monotone measures. Zbl 1368.28009Li, Jun; Mesiar, Radko; Pap, Endre; Klement, Erich Peter 20 2015 Ultramodular aggregation functions. Zbl 1258.03082Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 19 2011 Remarks on two product-like constructions for copulas. Zbl 1136.60306Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan; Sarkoci, Peter 19 2007 A characterization of the ordering of continuous \(t\)-norms. Zbl 0914.04006Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 1997 Problems on triangular norms and related operators. Zbl 1050.03019Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 2004 Fuzzy logics with an additional involutive negation. Zbl 1189.03028Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 17 2010 Uniform approximation of associative copulas by strict and non-strict copulas. Zbl 1054.62064Klement, Erich Peter; Mesiar, Radko; Pap, Endre 15 2001 Nonlinearity of the fuzzy integral. Zbl 0573.28003Klement, Erich Peter; Ralescu, Dan 14 1983 Integration of fuzzy-valued functions. Zbl 0611.28009Klement, Erich Peter 14 1985 Fuzzy measures assuming their values in the set of fuzzy numbers. Zbl 0573.28002Klement, E. P. 13 1983 Residuated logics based on strict triangular norms with an involutive negation. Zbl 1165.03326Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 12 2006 Applications of category theory to fuzzy subsets. Based on the eleventh international seminar on fuzzy set theory, held in Linz, Austria, September 1989. Zbl 0741.00078 11 1992 Ultramodularity and copulas. Zbl 1371.62050Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 11 2014 Bounds for trivariate copulas with given bivariate marginals. Zbl 1162.62047Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan 10 2008 Non-classical logics and their applications to fuzzy subsets. A handbook of the mathematical foundations of fuzzy set theory. Proceedings of the 14th Linz seminar on fuzzy set theory held at Linz, Austria in the second week of September 1992. Zbl 0814.00013 10 1995 Triangular norms. Zbl 0915.04002Klement, Peter Erich; Mesiar, Radko 9 1997 Convex combinations in terms of triangular norms: A characterization of idempotent, bisymmetrical and self-dual compensatory operators. Zbl 0928.03063Moser, Bernhard; Tsiporkova, Elena; Klement, Erich Peter 8 1999 FS-FOIL: An inductive learning method for extracting interpretable fuzzy descriptions. Zbl 1026.68111Drobics, Mario; Bodenhofer, Ulrich; Klement, Erich Peter 8 2003 On some geometric transformation of \(t\)-norms. Zbl 0932.03066Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 1998 1-Lipschitz aggregation operators, quasi-copulas and copulas with given diagonals. Zbl 1071.62048Klement, Erich Peter; Kolesárová, Anna 8 2004 Triangular norms: basic notions and properties. Zbl 1078.03022Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 2005 Defects and transformations of quasi-copulas. Zbl 1389.60005Dibala, Michal; Saminger-Platz, Susanne; Mesiar, Radko; Klement, Erich Peter 8 2016 On the role of ultramodularity and Schur concavity in the construction of binary copulas. Zbl 1368.62129Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Saminger-Platz, Susanne 8 2017 Triangular norms – basic properties and representation theorems. Zbl 1010.03046Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2000 Triangular norm-based measures. Zbl 1035.28015Butnariu, Dan; Klement, Erich Peter 7 2002 Are fuzzy systems universal approximators? Zbl 0936.93034Klement, Erich Peter; Kóczy, László T.; Moser, Bernhard 7 1999 Fundamentals of a generalized measure theory. Zbl 0977.28011Klement, E. P.; Weber, S. 7 1999 Different types of continuity of triangular norms revisited. Zbl 1081.26024Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2005 Ordinal sums of binary conjunctive operations based on the product. Zbl 1413.62011Saminger-Platz, Susanne; Dibala, Michal; Klement, Erich Peter; Mesiar, Radko 6 2017 Correspondence between fuzzy measures and classical measures. Zbl 0478.28006Klement, E. P.; Schwyhla, W. 6 1982 Open problems posed at the eighth international conference on fuzzy set theory and applications. Zbl 1249.03099Mesiar, Radko; Klement, Erich Peter 6 2006 A characterization of tribes with respect to the Łukasiewicz \(t\)-norm. Zbl 0902.28015Klement, Erich Peter; Navara, Mirko 6 1997 On the redundancy of fuzzy partitions. Zbl 0904.04006Klement, Erich Peter; Moser, Bernhard 6 1997 Lipschitz continuity of discrete universal integrals based on copulas. Zbl 1190.28010Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Stupňanová, Andrea 6 2010 Two approaches to fuzzy propositional logics. Zbl 1043.03017Hekrdla, Josef; Klement, Erich Peter; Navara, Mirko 6 2003 Some relations between integration on fuzzy sets and fuzzy measures. Zbl 0491.28005Klement, E. P. 5 1982 A nonlinear integral which generalizes both the Choquet and the Sugeno integral. Zbl 1256.28008Klement, Erich Peter; Mesiar, Radko; Pap, Endre 5 2010 Modeling of control functions by fuzzy controllers. Zbl 0851.93038Bauer, Peter; Klement, Erich Peter; Moser, Bernhard; Leikermoser, Albert 5 1995 Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures. Zbl 0922.03032Klement, Erich Peter 5 1997 The key role of convexity in some copula constructions. Zbl 1440.62192Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter 5 2020 On the expected value of fuzzy events. Zbl 1377.60012Klement, Erich Peter; Mesiar, Radko 5 2015 The impact on the properties of the EFGM copulas when extending this family. Zbl 1467.62077Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 4 2021 Discrete integrals and axiomatically defined functionals. Zbl 1293.28008Klement, Erich Peter; Mesiar, Radko 4 2012 An integral representation for decomposable measures of measurable functions. Zbl 0796.28015Klement, Erich Peter; Weber, Siegfried 4 1994 Fuzzy sets, logics and reasoning about knowledge. Zbl 0927.00008 4 1999 Propositional fuzzy logics based on Frank t-norms: A comparison. Zbl 0947.03035Klement, Erich Peter; Navara, Mirko 4 1999 Sufficient triangular norms in many-valued logics with standard negation. Zbl 1085.03018Butnariu, Dan; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 4 2005 Generated triangular norms. Zbl 1249.03100Mesiar, Radko; Pap, Endre; Klement, Erich Peter 4 2000 Triangular norms and some applications to measure and game theory. Zbl 0847.04005Butnariu, Dan; Klement, Erich Peter 3 1992 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 \(L\)-fuzzy sets and isomorphic lattices: are all the “new” results really new? Zbl 1402.03074Klement, Erich Peter; Mesiar, Radko 3 2018 Core, value and equilibria for market games: On a problem of Aumann and Shapley. Zbl 0852.90142Butnariu, Dan; Klement, Erich Peter 3 1996 Interpolation and extrapolation of fuzzy quantities – the multiple-dimensional case. Zbl 1026.93030Jenei, S.; Klement, E. P.; Konzel, R. 3 2002 On the order of triangular norms – comments on “A triangular norm hierarchy” by E. Cretu. Zbl 1012.03033Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2002 Transformations of copulas and quasi-copulas. Zbl 1063.62078Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2004 A comparison of variable selection methods with the main focus on orthogonalization. Zbl 1114.68543Groißböck, Werner; Lughofer, Edwin; Klement, Erich Peter 3 2004 A Radon-Nikodým theorem for fuzzy-valued measures. Zbl 0646.28015Klement, Erich Peter 2 1988 Proceedings of the international seminar on fuzzy set theory, Johannes Kepler Universität Linz, Austria, September 24–29, 1979. Zbl 0456.00007 2 1980 Characterizations of bivariate conic, extreme value, and Archimax copulas. Zbl 1404.62058Saminger-Platz, Susanne; De Jesús Arias-García, José; Mesiar, Radko; Klement, Erich Peter 2 2017 Some remarks on a paper by R. R. Yager. Zbl 0514.60006Klement, Erich Peter 2 1982 Measures on triangular norm-based tribes: Properties and integral representations. Zbl 0972.28010Butnariu, Dan; Klement, Erich Peter 2 2000 Polynomial bivariate copulas of degree five: characterization and some particular inequalities. Zbl 1497.62123Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter 2 2021 New results on perturbation-based copulas. Zbl 1515.62055Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 2 2021 The impact on the properties of the EFGM copulas when extending this family. Zbl 1467.62077Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 4 2021 Polynomial bivariate copulas of degree five: characterization and some particular inequalities. Zbl 1497.62123Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter 2 2021 New results on perturbation-based copulas. Zbl 1515.62055Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 2 2021 The key role of convexity in some copula constructions. Zbl 1440.62192Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter 5 2020 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 \(L\)-fuzzy sets and isomorphic lattices: are all the “new” results really new? Zbl 1402.03074Klement, Erich Peter; Mesiar, Radko 3 2018 A note on a generalized Frank functional equation. Zbl 1397.60040Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter 1 2018 On the role of ultramodularity and Schur concavity in the construction of binary copulas. Zbl 1368.62129Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Saminger-Platz, Susanne 8 2017 Ordinal sums of binary conjunctive operations based on the product. Zbl 1413.62011Saminger-Platz, Susanne; Dibala, Michal; Klement, Erich Peter; Mesiar, Radko 6 2017 Characterizations of bivariate conic, extreme value, and Archimax copulas. Zbl 1404.62058Saminger-Platz, Susanne; De Jesús Arias-García, José; Mesiar, Radko; Klement, Erich Peter 2 2017 Defects and transformations of quasi-copulas. Zbl 1389.60005Dibala, Michal; Saminger-Platz, Susanne; Mesiar, Radko; Klement, Erich Peter 8 2016 Integrals based on monotone set functions. Zbl 1368.28008Klement, Erich Peter; Li, Jun; Mesiar, Radko; Pap, Endre 34 2015 Convergence theorems for monotone measures. Zbl 1368.28009Li, Jun; Mesiar, Radko; Pap, Endre; Klement, Erich Peter 20 2015 On the expected value of fuzzy events. Zbl 1377.60012Klement, Erich Peter; Mesiar, Radko 5 2015 Universal integrals based on copulas. Zbl 1428.28024Klement, Erich Peter; Mesiar, Radko; Spizzichino, Fabio; Stupňanová, Andrea 32 2014 Ultramodularity and copulas. Zbl 1371.62050Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 11 2014 Editorial. Zbl 1335.00151 1 2014 Discrete integrals and axiomatically defined functionals. Zbl 1293.28008Klement, Erich Peter; Mesiar, Radko 4 2012 Ultramodular aggregation functions. Zbl 1258.03082Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 19 2011 Measures of non-exchangeability for bivariate random vectors. Zbl 1247.60047Durante, Fabrizio; Klement, Erich Peter; Sempi, Carlo; Úbeda-Flores, Manuel 25 2010 Fuzzy logics with an additional involutive negation. Zbl 1189.03028Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 17 2010 Lipschitz continuity of discrete universal integrals based on copulas. Zbl 1190.28010Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Stupňanová, Andrea 6 2010 A nonlinear integral which generalizes both the Choquet and the Sugeno integral. Zbl 1256.28008Klement, Erich Peter; Mesiar, Radko; Pap, Endre 5 2010 On extensions of triangular norms on bounded lattices. Zbl 1171.03011Saminger-Platz, Susanne; Klement, Erich Peter; Mesiar, Radko 42 2008 Bounds for trivariate copulas with given bivariate marginals. Zbl 1162.62047Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan 10 2008 Conjunctors and their residual implicators: characterizations and construction methods. Zbl 1139.03014Durante, Fabrizio; Klement, Erich Peter; Mesiar, Radko; Sempi, Carlo 77 2007 Copulas constructed from horizontal sections. Zbl 1130.60017Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Sempi, Carlo 31 2007 Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section. Zbl 1138.60016Klement, Erich Peter; Kolesárová, Anna 21 2007 Remarks on two product-like constructions for copulas. Zbl 1136.60306Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan; Sarkoci, Peter 19 2007 How non-symmetric can a copula be? Zbl 1150.62027Klement, Erich Peter; Mesiar, Radko 32 2006 Residuated logics based on strict triangular norms with an involutive negation. Zbl 1165.03326Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 12 2006 Open problems posed at the eighth international conference on fuzzy set theory and applications. Zbl 1249.03099Mesiar, Radko; Klement, Erich Peter 6 2006 Archimedean components of triangular norms. Zbl 1087.20041Klement, Erich Peter; Mesiar, Radko; Pap, Endre 78 2005 Extension to copulas and quasi-copulas as special \(1\)-Lipschitz aggregation operators. Zbl 1249.60017Klement, Erich Peter; Kolesárová, Anna 42 2005 Logical, algebraic, analytic and probabilistic aspects of triangular norms. Selected papers from the 24th Linz seminar on fuzzy set theory, Linz, Austria, February 4–8, 2003. Zbl 1063.03003 31 2005 Transformations of copulas. Zbl 1243.62019Klement, Erich Peter; Mesiar, Radko; Pap, Endre 29 2005 Archimax copulas and invariance under transformations. Zbl 1126.62040Klement, Erich Peter; Mesiar, Radko; Pap, Endre 22 2005 Triangular norms: basic notions and properties. Zbl 1078.03022Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 2005 Different types of continuity of triangular norms revisited. Zbl 1081.26024Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2005 Sufficient triangular norms in many-valued logics with standard negation. Zbl 1085.03018Butnariu, Dan; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 4 2005 Semigroups and triangular norms. Zbl 1082.06013Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1 2005 Triangular norms. Position paper I: Basic analytical and algebraic properties. Zbl 1038.03027Klement, Erich Peter; Mesiar, Radko; Pap, Endre 77 2004 Triangular norms. Position paper II: General constructions and parameterized families. Zbl 1059.03012Klement, Erich Peter; Mesiar, Radko; Pap, Endre 48 2004 Triangular norms. Position paper III: Continuous t-norms. Zbl 1059.03013Klement, Erich Peter; Mesiar, Radko; Pap, Endre 35 2004 Measure-based aggregation operators. Zbl 1046.28011Klement, Erich Peter; Mesiar, Radko; Pap, Endre 26 2004 Problems on triangular norms and related operators. Zbl 1050.03019Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 2004 1-Lipschitz aggregation operators, quasi-copulas and copulas with given diagonals. Zbl 1071.62048Klement, Erich Peter; Kolesárová, Anna 8 2004 Transformations of copulas and quasi-copulas. Zbl 1063.62078Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2004 A comparison of variable selection methods with the main focus on orthogonalization. Zbl 1114.68543Groißböck, Werner; Lughofer, Edwin; Klement, Erich Peter 3 2004 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 23 2003 FS-FOIL: An inductive learning method for extracting interpretable fuzzy descriptions. Zbl 1026.68111Drobics, Mario; Bodenhofer, Ulrich; Klement, Erich Peter 8 2003 Two approaches to fuzzy propositional logics. Zbl 1043.03017Hekrdla, Josef; Klement, Erich Peter; Navara, Mirko 6 2003 Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford. Zbl 1007.20054Klement, E. P.; Mesiar, R.; Pap, E. 67 2002 Invariant copulas. Zbl 1264.62045Klement, Erich Peter; Mesiar, Radko; Pap, Endre 25 2002 Triangular norm-based measures. Zbl 1035.28015Butnariu, Dan; Klement, Erich Peter 7 2002 Interpolation and extrapolation of fuzzy quantities – the multiple-dimensional case. Zbl 1026.93030Jenei, S.; Klement, E. P.; Konzel, R. 3 2002 On the order of triangular norms – comments on “A triangular norm hierarchy” by E. Cretu. Zbl 1012.03033Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2002 Uniform approximation of associative copulas by strict and non-strict copulas. Zbl 1054.62064Klement, Erich Peter; Mesiar, Radko; Pap, Endre 15 2001 Genetic optimization of fuzzy classification systems – a case study. Zbl 1002.68148Bodenhofer, Ulrich; Klement, Erich Peter 2 2001 Triangular norms. Zbl 0972.03002Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1,306 2000 Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Zbl 0991.28014Klement, Erich Peter; Mesiar, Radko; Pap, Endre 43 2000 Triangular norms – basic properties and representation theorems. Zbl 1010.03046Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2000 Generated triangular norms. Zbl 1249.03100Mesiar, Radko; Pap, Endre; Klement, Erich Peter 4 2000 Measures on triangular norm-based tribes: Properties and integral representations. Zbl 0972.28010Butnariu, Dan; Klement, Erich Peter 2 2000 Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms. Zbl 0953.26008Klement, Erich Peter; Mesiar, Radko; Pap, Endre 55 1999 A survey on different triangular norm-based fuzzy logics. Zbl 0945.03032Klement, Erich Peter; Navara, Mirko 48 1999 Convex combinations in terms of triangular norms: A characterization of idempotent, bisymmetrical and self-dual compensatory operators. Zbl 0928.03063Moser, Bernhard; Tsiporkova, Elena; Klement, Erich Peter 8 1999 Are fuzzy systems universal approximators? Zbl 0936.93034Klement, Erich Peter; Kóczy, László T.; Moser, Bernhard 7 1999 Fundamentals of a generalized measure theory. Zbl 0977.28011Klement, E. P.; Weber, S. 7 1999 Fuzzy sets, logics and reasoning about knowledge. Zbl 0927.00008 4 1999 Propositional fuzzy logics based on Frank t-norms: A comparison. Zbl 0947.03035Klement, Erich Peter; Navara, Mirko 4 1999 On some geometric transformation of \(t\)-norms. Zbl 0932.03066Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 1998 A characterization of the ordering of continuous \(t\)-norms. Zbl 0914.04006Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 1997 Triangular norms. Zbl 0915.04002Klement, Peter Erich; Mesiar, Radko 9 1997 A characterization of tribes with respect to the Łukasiewicz \(t\)-norm. Zbl 0902.28015Klement, Erich Peter; Navara, Mirko 6 1997 On the redundancy of fuzzy partitions. Zbl 0904.04006Klement, Erich Peter; Moser, Bernhard 6 1997 Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures. Zbl 0922.03032Klement, Erich Peter 5 1997 On the relationship of associative compensatory operators to triangular norms and conorms. Zbl 1232.03041Klement, Erich Peter; Mesiar, Radko; Pap, Endre 60 1996 Core, value and equilibria for market games: On a problem of Aumann and Shapley. Zbl 0852.90142Butnariu, Dan; Klement, Erich Peter 3 1996 On triangular norm-based propositional fuzzy logics. Zbl 0844.03011Butnariu, Dan; Klement, Erich Peter; Zafrany, Samy 26 1995 Non-classical logics and their applications to fuzzy subsets. A handbook of the mathematical foundations of fuzzy set theory. Proceedings of the 14th Linz seminar on fuzzy set theory held at Linz, Austria in the second week of September 1992. Zbl 0814.00013 10 1995 Modeling of control functions by fuzzy controllers. Zbl 0851.93038Bauer, Peter; Klement, Erich Peter; Moser, Bernhard; Leikermoser, Albert 5 1995 An integral representation for decomposable measures of measurable functions. Zbl 0796.28015Klement, Erich Peter; Weber, Siegfried 4 1994 Triangular norm-based measures and games with fuzzy coalitions. Zbl 0804.90145Butnariu, Dan; Klement, Erich Peter 118 1993 Applications of category theory to fuzzy subsets. Based on the eleventh international seminar on fuzzy set theory, held in Linz, Austria, September 1989. Zbl 0741.00078 11 1992 Triangular norms and some applications to measure and game theory. Zbl 0847.04005Butnariu, Dan; Klement, Erich Peter 3 1992 Triangular norm-based measures and their Markov kernel representation. Zbl 0751.60003Butnariu, Dan; Klement, Erich Peter 40 1991 Generalized measures. Zbl 0733.28012Klement, Erich Peter; Weber, Siegfried 32 1991 A Radon-Nikodým theorem for fuzzy-valued measures. Zbl 0646.28015Klement, Erich Peter 2 1988 Limit theorems for fuzzy random variables. Zbl 0605.60038Klement, E. P.; Puri, M. L.; Ralescu, D. A. 208 1986 Integration of fuzzy-valued functions. Zbl 0611.28009Klement, Erich Peter 14 1985 Law of large numbers and central limit theorem for fuzzy random variables. Zbl 0549.60033Klement, E. Peter; Puri, Madan L.; Ralescu, Dan A. 1 1984 Nonlinearity of the fuzzy integral. Zbl 0573.28003Klement, Erich Peter; Ralescu, Dan 14 1983 Fuzzy measures assuming their values in the set of fuzzy numbers. Zbl 0573.28002Klement, E. P. 13 1983 Construction of fuzzy sigma-algebras using triangular norms. Zbl 0491.28003Klement, E. P. 56 1982 Characterization of fuzzy measures constructed by means of triangular norms. Zbl 0491.28004Klement, E. P. 25 1982 Operations on fuzzy sets - an axiomatic approach. Zbl 0515.03036Klement, Erich Peter 23 1982 Correspondence between fuzzy measures and classical measures. Zbl 0478.28006Klement, E. P.; Schwyhla, W. 6 1982 Some relations between integration on fuzzy sets and fuzzy measures. Zbl 0491.28005Klement, E. P. 5 1982 Some remarks on a paper by R. R. Yager. Zbl 0514.60006Klement, Erich Peter 2 1982 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,828 Authors 209 Mesiar, Radko 84 De Baets, Bernard 60 Pap, Endre 57 Klement, Erich Peter 53 Torrens, Joan 47 Durante, Fabrizio 46 Kolesárová, Anna 45 Liu, Huawen 45 Yager, Ronald R. 37 Bedregal, Benjamín René Callejas 37 De Meyer, Hans E. 34 Fernández-Sánchez, Juan 32 Ouyang, Yao 31 Bustince, Humberto 30 Qin, Feng 30 Su, Yong 29 Úbeda-Flores, Manuel 28 Mesiarová-Zemánková, Andrea 26 Baczynski, Michal 25 Hu, Baoqing 25 Massanet, Sebastià 23 Ruiz-Aguilera, Daniel 22 Dubois, Didier 22 Jayaram, Balasubramaniam 21 Gil, María Angeles 21 Recasens, Jordi 21 Saminger-Platz, Susanne 20 Navara, Mirko 20 Qiao, Junsheng 20 Sempi, Carlo 20 Zhang, Dexue 19 Agahi, Hamzeh 18 Prade, Henri M. 18 Pradera, Ana 18 Štajner-Papuga, Ivana 17 Calvo, Tomasa 17 Çaylı, Gül Deniz 17 Dimuro, Graçaliz Pereira 17 Karaçal, Funda 16 Fernández Fernández, Francisco Javier 16 Jenei, Sándor 16 Kalina, Martin 16 Li, Jun 16 López-Díaz, Miguel 16 Monserrat, Miquel 16 Wang, Zhudeng 15 Beliakov, Gleb 15 Hutník, Ondrej 15 Montes, Susana 15 Pedrycz, Witold 15 Trutschnig, Wolfgang 15 Vychodil, Vilém 14 Butnariu, Dan 14 Omladič, Matjaž 14 Pulmannová, Sylvia 14 Terán, Pedro 13 Díaz, Susana 13 Drygaś, Paweł 13 Fodor, János C. 13 Godo, Lluís 13 Holcapek, Michal 13 Kerre, Etienne E. 13 Kim, Yun Kyong 13 Lai, Hongliang 13 Štrboja, Mirjana 13 Stupňanová, Andrea 13 Zong, Wenwen 12 Aşici, Emel 12 Grabisch, Michel 12 Kesicioğlu, Mücahide Nesibe 12 Khare, Mona 12 Medina, Jesús 11 Deschrijver, Glad 11 Drewniak, Józef 11 Greco, Salvatore 11 Jočić, Dragan 11 Jwaid, Tarad 11 Kroupa, Tomáš 11 Li, Shoumei 11 Maes, Koen C. 11 Mayor, Gaspar 11 Qiu, Dong 11 Riečan, Beloslav 10 Avallone, Anna 10 Cornejo, Maria Eugenia 10 Fang, Jinxuan 10 Ghiselli Ricci, Roberto 10 Halčinová, Lenka 10 Hong, Dug Hun 10 Novák, Vilém 10 Pei, Daowu 10 Sarkoci, Peter 10 Šostak, Alexander P. 10 Suñer, Jaume 10 Xie, Aifang 9 Aguiló, Isabel 9 Coletti, Giulianella 9 Colubi, Ana 9 De Amo, Enrique 9 Esteva, Francesc ...and 1,728 more Authors all top 5 Cited in 202 Serials 965 Fuzzy Sets and Systems 258 Information Sciences 167 International Journal of Approximate Reasoning 113 Kybernetika 67 Soft Computing 51 Journal of Mathematical Analysis and Applications 36 Iranian Journal of Fuzzy Systems 31 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21 European Journal of Operational Research 21 Fuzzy Optimization and Decision Making 20 International Journal of General Systems 19 Dependence Modeling 18 Mathematica Slovaca 17 Journal of Intelligent and Fuzzy Systems 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Aequationes Mathematicae 14 Artificial Intelligence 12 New Mathematics and Natural Computation 11 Filomat 10 Journal of Multivariate Analysis 9 Computers & Mathematics with Applications 9 International Journal of Theoretical Physics 9 Applied Mathematics and Computation 9 International Journal of Intelligent Systems 9 Statistical Papers 8 Chaos, Solitons and Fractals 8 Archive for Mathematical Logic 8 Symmetry 7 Insurance Mathematics & Economics 7 Statistics & Probability Letters 7 Communications in Statistics. Theory and Methods 7 Computational and Applied Mathematics 6 Journal of Computational and Applied Mathematics 6 Stochastic Analysis and Applications 6 Annals of Pure and Applied Logic 6 Abstract and Applied Analysis 5 International Journal of Mathematics and Mathematical Sciences 5 Journal of Statistical Planning and Inference 5 Semigroup Forum 5 Topology and its Applications 5 Computational Statistics and Data Analysis 5 Mathematical Problems in Engineering 5 Journal of Inequalities and Applications 5 Fixed Point Theory and Applications 5 Journal of Function Spaces 4 Reports on Mathematical Physics 4 Studia Logica 4 Social Choice and Welfare 4 Machine Learning 4 Journal of Applied Non-Classical Logics 4 Mathematical Methods of Operations Research 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Applied Mathematics 4 Mediterranean Journal of Mathematics 4 Afrika Matematika 3 Metrika 3 Czechoslovak Mathematical Journal 3 Journal of Pure and Applied Algebra 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Theoretical Computer Science 3 Order 3 Statistics 3 Annals of Operations Research 3 Pattern Recognition 3 Test 3 Journal of Applied Mathematics and Computing 3 Hacettepe Journal of Mathematics and Statistics 3 Statistical Methods and Applications 3 Advances in Difference Equations 3 Foundations of Physics 3 Logica Universalis 3 TWMS Journal of Pure and Applied Mathematics 3 Journal of Applied Mathematics & Informatics 2 Algebra Universalis 2 International Journal of Game Theory 2 Journal of Algebra 2 Journal of Approximation Theory 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Ricerche di Matematica 2 Cybernetics and Systems 2 Acta Mathematica Hungarica 2 Journal of Classification 2 Applied Mathematics Letters 2 Applications of Mathematics 2 Linear Algebra and its Applications 2 Journal of Mathematical Imaging and Vision 2 Tatra Mountains Mathematical Publications 2 Journal of Computer and Systems Sciences International 2 Mathematical Logic Quarterly (MLQ) 2 Theory and Applications of Categories 2 Annals of Mathematics and Artificial Intelligence 2 Journal of Nonparametric Statistics 2 Positivity 2 Journal of Applied Statistics 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Logic 2 Journal of Function Spaces and Applications 2 Science in China. Series F ...and 102 more Serials all top 5 Cited in 42 Fields 1,158 Mathematical logic and foundations (03-XX) 413 Computer science (68-XX) 335 Measure and integration (28-XX) 301 Statistics (62-XX) 259 Probability theory and stochastic processes (60-XX) 255 Order, lattices, ordered algebraic structures (06-XX) 194 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 167 General topology (54-XX) 130 Real functions (26-XX) 79 Operations research, mathematical programming (90-XX) 78 Information and communication theory, circuits (94-XX) 71 Difference and functional equations (39-XX) 47 Functional analysis (46-XX) 38 Category theory; homological algebra (18-XX) 37 Quantum theory (81-XX) 36 Systems theory; control (93-XX) 30 Group theory and generalizations (20-XX) 19 General algebraic systems (08-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Operator theory (47-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Numerical analysis (65-XX) 12 Ordinary differential equations (34-XX) 10 Combinatorics (05-XX) 10 Approximations and expansions (41-XX) 10 Biology and other natural sciences (92-XX) 8 Associative rings and algebras (16-XX) 8 Sequences, series, summability (40-XX) 7 Convex and discrete geometry (52-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 Integral equations (45-XX) 3 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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