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: 121 Publications since 1962, including 3 Books 17 Contributions as Editor Co-Authors: 56 Co-Authors with 111 Joint Publications 1,544 Co-Co-Authors all top 5 Co-Authors 27 single-authored 63 Mesiar, Radko 28 Pap, Endre 16 Saminger-Platz, Susanne 12 Kolesárová, Anna 8 Butnariu, Dan 7 Navara, Mirko 5 Höhle, Ulrich 4 Durante, Fabrizio 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 Kokol-Bukovšek, Damjana 2 Li, Jun 2 Manzi, Maddalena 2 Omladič, Matjaž 2 Prade, Henri M. 2 Puri, Madan Lal 2 Quesada-Molina, José Juan 2 Rodabaugh, Stephen Ernest 2 Schwyhla, Werner 2 Stopar, Nik 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 Durante, Fabrizio 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 Mojškerc, Blaž 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 International Journal of Approximate Reasoning 2 Statistical Papers 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 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 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) 30 Probability theory and stochastic processes (60-XX) 28 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 115 Publications have been cited 3,871 times in 2,731 Documents Cited by ▼ Year ▼ Triangular norms. Zbl 0972.03002 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1,531 2000 Limit theorems for fuzzy random variables. Zbl 0605.60038 Klement, E. P.; Puri, M. L.; Ralescu, D. A. 212 1986 Triangular norm-based measures and games with fuzzy coalitions. Zbl 0804.90145 Butnariu, Dan; Klement, Erich Peter 123 1993 Triangular norms. Position paper I: Basic analytical and algebraic properties. Zbl 1038.03027 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 87 2004 Conjunctors and their residual implicators: characterizations and construction methods. Zbl 1139.03014 Durante, Fabrizio; Klement, Erich Peter; Mesiar, Radko; Sempi, Carlo 80 2007 Archimedean components of triangular norms. Zbl 1087.20041 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 79 2005 Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford. Zbl 1007.20054 Klement, E. P.; Mesiar, R.; Pap, E. 72 2002 On the relationship of associative compensatory operators to triangular norms and conorms. Zbl 1232.03041 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 61 1996 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 59 2005 Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms. Zbl 0953.26008 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 58 1999 Construction of fuzzy sigma-algebras using triangular norms. Zbl 0491.28003 Klement, E. P. 57 1982 Fuzzy \(\sigma\)-algebras and fuzzy measurable functions. Zbl 0444.28001 Klement, Erich Peter 51 1980 Triangular norms. Position paper II: General constructions and parameterized families. Zbl 1059.03012 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 50 2004 A survey on different triangular norm-based fuzzy logics. Zbl 0945.03032 Klement, Erich Peter; Navara, Mirko 49 1999 Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets. Zbl 1020.00006 49 2003 On extensions of triangular norms on bounded lattices. Zbl 1171.03011 Saminger-Platz, Susanne; Klement, Erich Peter; Mesiar, Radko 46 2008 Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Zbl 0991.28014 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 44 2000 Extension to copulas and quasi-copulas as special \(1\)-Lipschitz aggregation operators. Zbl 1249.60017 Klement, Erich Peter; Kolesárová, Anna 42 2005 Triangular norm-based measures and their Markov kernel representation. Zbl 0751.60003 Butnariu, Dan; Klement, Erich Peter 41 1991 Triangular norms. Position paper III: Continuous t-norms. Zbl 1059.03013 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 41 2004 Integrals based on monotone set functions. Zbl 1368.28008 Klement, Erich Peter; Li, Jun; Mesiar, Radko; Pap, Endre 40 2015 Universal integrals based on copulas. Zbl 1428.28024 Klement, Erich Peter; Mesiar, Radko; Spizzichino, Fabio; Stupňanová, Andrea 36 2014 How non-symmetric can a copula be? Zbl 1150.62027 Klement, Erich Peter; Mesiar, Radko 34 2006 Generalized measures. Zbl 0733.28012 Klement, Erich Peter; Weber, Siegfried 33 1991 Fuzzy probability measures. Zbl 0447.28005 Klement, Erich Peter; Schwyhla, Werner; Lowen, Robert 33 1981 Copulas constructed from horizontal sections. Zbl 1130.60017 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Sempi, Carlo 32 2007 Transformations of copulas. Zbl 1243.62019 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 29 2005 Convergence theorems for monotone measures. Zbl 1368.28009 Li, Jun; Mesiar, Radko; Pap, Endre; Klement, Erich Peter 28 2015 Invariant copulas. Zbl 1264.62045 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 27 2002 Operations on fuzzy sets and fuzzy numbers related to triangular norms. Zbl 0547.04003 Klement, E. P. 26 1981 On triangular norm-based propositional fuzzy logics. Zbl 0844.03011 Butnariu, Dan; Klement, Erich Peter; Zafrany, Samy 26 1995 Measure-based aggregation operators. Zbl 1046.28011 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 26 2004 Characterization of fuzzy measures constructed by means of triangular norms. Zbl 0491.28004 Klement, E. P. 25 1982 Measures of non-exchangeability for bivariate random vectors. Zbl 1247.60047 Durante, Fabrizio; Klement, Erich Peter; Sempi, Carlo; Úbeda-Flores, Manuel 25 2010 Remarks on two product-like constructions for copulas. Zbl 1136.60306 Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan; Sarkoci, Peter 23 2007 Operations on fuzzy sets - an axiomatic approach. Zbl 0515.03036 Klement, Erich Peter 23 1982 Problems on triangular norms and related operators. Zbl 1050.03019 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 23 2004 Archimax copulas and invariance under transformations. Zbl 1126.62040 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 23 2005 Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section. Zbl 1138.60016 Klement, Erich Peter; Kolesárová, Anna 22 2007 Characterization of finite fuzzy measures using Markoff-kernels. Zbl 0471.60008 Klement, E. P. 21 1980 Ultramodular aggregation functions. Zbl 1258.03082 Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 21 2011 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 20 1992 A characterization of the ordering of continuous \(t\)-norms. Zbl 0914.04006 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 1997 Fuzzy logics with an additional involutive negation. Zbl 1189.03028 Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 18 2010 Uniform approximation of associative copulas by strict and non-strict copulas. Zbl 1054.62064 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 17 2001 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 16 1995 Nonlinearity of the fuzzy integral. Zbl 0573.28003 Klement, Erich Peter; Ralescu, Dan 16 1983 Integration of fuzzy-valued functions. Zbl 0611.28009 Klement, Erich Peter 14 1985 Bounds for trivariate copulas with given bivariate marginals. Zbl 1162.62047 Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan 13 2008 Fuzzy measures assuming their values in the set of fuzzy numbers. Zbl 0573.28002 Klement, E. P. 13 1983 Residuated logics based on strict triangular norms with an involutive negation. Zbl 1165.03326 Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 13 2006 Ultramodularity and copulas. Zbl 1371.62050 Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 12 2014 Triangular norms. Zbl 0915.04002 Klement, Peter Erich; Mesiar, Radko 10 1997 On some geometric transformation of \(t\)-norms. Zbl 0932.03066 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 9 1998 Defects and transformations of quasi-copulas. Zbl 1389.60005 Dibala, Michal; Saminger-Platz, Susanne; Mesiar, Radko; Klement, Erich Peter 9 2016 On the role of ultramodularity and Schur concavity in the construction of binary copulas. Zbl 1368.62129 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Saminger-Platz, Susanne 9 2017 Convex combinations in terms of triangular norms: A characterization of idempotent, bisymmetrical and self-dual compensatory operators. Zbl 0928.03063 Moser, Bernhard; Tsiporkova, Elena; Klement, Erich Peter 8 1999 Triangular norms: basic notions and properties. Zbl 1078.03022 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 2005 1-Lipschitz aggregation operators, quasi-copulas and copulas with given diagonals. Zbl 1071.62048 Klement, Erich Peter; Kolesárová, Anna 8 2004 Open problems posed at the eighth international conference on fuzzy set theory and applications. Zbl 1249.03099 Mesiar, Radko; Klement, Erich Peter 8 2006 FS-FOIL: An inductive learning method for extracting interpretable fuzzy descriptions. Zbl 1026.68111 Drobics, Mario; Bodenhofer, Ulrich; Klement, Erich Peter 8 2003 Fundamentals of a generalized measure theory. Zbl 0977.28011 Klement, E. P.; Weber, S. 7 1999 Triangular norms – basic properties and representation theorems. Zbl 1010.03046 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2000 Are fuzzy systems universal approximators? Zbl 0936.93034 Klement, Erich Peter; Kóczy, László T.; Moser, Bernhard 7 1999 Different types of continuity of triangular norms revisited. Zbl 1081.26024 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2005 Ordinal sums of binary conjunctive operations based on the product. Zbl 1413.62011 Saminger-Platz, Susanne; Dibala, Michal; Klement, Erich Peter; Mesiar, Radko 7 2017 The key role of convexity in some copula constructions. Zbl 1440.62192 Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter 7 2020 Triangular norm-based measures. Zbl 1035.28015 Butnariu, Dan; Klement, Erich Peter 7 2002 The impact on the properties of the EFGM copulas when extending this family. Zbl 1467.62077 Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 7 2021 Lipschitz continuity of discrete universal integrals based on copulas. Zbl 1190.28010 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Stupňanová, Andrea 7 2010 On the redundancy of fuzzy partitions. Zbl 0904.04006 Klement, Erich Peter; Moser, Bernhard 6 1997 A characterization of tribes with respect to the Łukasiewicz \(t\)-norm. Zbl 0902.28015 Klement, Erich Peter; Navara, Mirko 6 1997 Correspondence between fuzzy measures and classical measures. Zbl 0478.28006 Klement, E. P.; Schwyhla, W. 6 1982 On the cardinality of fuzzy sets. Zbl 0527.04002 Klement, Erich Peter 6 1982 Two approaches to fuzzy propositional logics. Zbl 1043.03017 Hekrdla, Josef; Klement, Erich Peter; Navara, Mirko 6 2003 Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures. Zbl 0922.03032 Klement, Erich Peter 5 1997 Some relations between integration on fuzzy sets and fuzzy measures. Zbl 0491.28005 Klement, E. P. 5 1982 Modeling of control functions by fuzzy controllers. Zbl 0851.93038 Bauer, Peter; Klement, Erich Peter; Moser, Bernhard; Leikermoser, Albert 5 1995 A nonlinear integral which generalizes both the Choquet and the Sugeno integral. Zbl 1256.28008 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 5 2010 Law of large numbers and central limit theorem for fuzzy random variables. Zbl 0549.60033 Klement, E. Peter; Puri, Madan L.; Ralescu, Dan A. 5 1984 Ordinal sums: from triangular norms to bi- and multivariate copulas. Zbl 1522.03249 Durante, Fabrizio; Klement, Erich Peter; Saminger-Platz, Susanne; Sempi, Carlo 5 2022 On the expected value of fuzzy events. Zbl 1377.60012 Klement, Erich Peter; Mesiar, Radko 5 2015 Discrete integrals and axiomatically defined functionals. Zbl 1293.28008 Klement, Erich Peter; Mesiar, Radko 5 2012 An integral representation for decomposable measures of measurable functions. Zbl 0796.28015 Klement, 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 0947.03035 Klement, Erich Peter; Navara, Mirko 4 1999 Sufficient triangular norms in many-valued logics with standard negation. Zbl 1085.03018 Butnariu, Dan; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 4 2005 Transformations of copulas and quasi-copulas. Zbl 1063.62078 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 4 2004 Generated triangular norms. Zbl 1249.03100 Mesiar, Radko; Pap, Endre; Klement, Erich Peter 4 2000 Extremal Lipschitz continuous aggregation functions with a given diagonal section. Zbl 1397.68178 Arias-García, J. J.; Mesiar, R.; Klement, E. P.; Saminger-Platz, S.; De Baets, B. 4 2018 Triangular norms and some applications to measure and game theory. Zbl 0847.04005 Butnariu, Dan; Klement, Erich Peter 3 1992 Core, value and equilibria for market games: On a problem of Aumann and Shapley. Zbl 0852.90142 Butnariu, Dan; Klement, Erich Peter 3 1996 A theory of fuzzy measures: A survey. Zbl 0512.28001 Klement, Erich Peter 3 1982 Some remarks on a paper by R. R. Yager. Zbl 0514.60006 Klement, Erich Peter 3 1982 Plausibility measures. A general framework for possibility and fuzzy probability measures. Zbl 0562.60003 Höhle, Ulrich; Klement, Erich Peter 3 1984 A comparison of variable selection methods with the main focus on orthogonalization. Zbl 1114.68543 Groißböck, Werner; Lughofer, Edwin; Klement, Erich Peter 3 2004 Some remarks on T-norms, fuzzy sigma-algebras and fuzzy measures. Zbl 0468.28004 Klement, Erich Peter 3 1981 Polynomial bivariate copulas of degree five: characterization and some particular inequalities. Zbl 1497.62123 Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter 3 2021 On the order of triangular norms – comments on “A triangular norm hierarchy” by E. Cretu. Zbl 1012.03033 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2002 Interpolation and extrapolation of fuzzy quantities – the multiple-dimensional case. Zbl 1026.93030 Jenei, S.; Klement, E. P.; Konzel, R. 3 2002 Coherence and avoidance of sure loss for standardized functions and semicopulas. Zbl 07834335 Klement, Erich Peter; Kokol Bukovšek, Damjana; Mojškerc, Blaž; Omladič, Matjaž; Saminger-Platz, Susanne; Stopar, Nik 1 2024 Multivariate copulas with given values at two arbitrary points. Zbl 1534.62063 Klement, Erich Peter; Kokol Bukovšek, Damjana; Omladič, Matjaž; Saminger-Platz, Susanne; Stopar, Nik 1 2023 Ordinal sums: from triangular norms to bi- and multivariate copulas. Zbl 1522.03249 Durante, Fabrizio; Klement, Erich Peter; Saminger-Platz, Susanne; Sempi, Carlo 5 2022 The impact on the properties of the EFGM copulas when extending this family. Zbl 1467.62077 Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 7 2021 Polynomial bivariate copulas of degree five: characterization and some particular inequalities. Zbl 1497.62123 Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter 3 2021 New results on perturbation-based copulas. Zbl 1515.62055 Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter 2 2021 The key role of convexity in some copula constructions. Zbl 1440.62192 Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter 7 2020 Extremal Lipschitz continuous aggregation functions with a given diagonal section. Zbl 1397.68178 Arias-García, J. J.; Mesiar, R.; Klement, E. P.; Saminger-Platz, S.; De Baets, B. 4 2018 \(L\)-fuzzy sets and isomorphic lattices: are all the “new” results really new? Zbl 1402.03074 Klement, Erich Peter; Mesiar, Radko 3 2018 A note on a generalized Frank functional equation. Zbl 1397.60040 Saminger-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 1368.62129 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Saminger-Platz, Susanne 9 2017 Ordinal sums of binary conjunctive operations based on the product. Zbl 1413.62011 Saminger-Platz, Susanne; Dibala, Michal; Klement, Erich Peter; Mesiar, Radko 7 2017 Characterizations of bivariate conic, extreme value, and Archimax copulas. Zbl 1404.62058 Saminger-Platz, Susanne; De Jesús Arias-García, José; Mesiar, Radko; Klement, Erich Peter 2 2017 Defects and transformations of quasi-copulas. Zbl 1389.60005 Dibala, Michal; Saminger-Platz, Susanne; Mesiar, Radko; Klement, Erich Peter 9 2016 Integrals based on monotone set functions. Zbl 1368.28008 Klement, Erich Peter; Li, Jun; Mesiar, Radko; Pap, Endre 40 2015 Convergence theorems for monotone measures. Zbl 1368.28009 Li, Jun; Mesiar, Radko; Pap, Endre; Klement, Erich Peter 28 2015 On the expected value of fuzzy events. Zbl 1377.60012 Klement, Erich Peter; Mesiar, Radko 5 2015 Universal integrals based on copulas. Zbl 1428.28024 Klement, Erich Peter; Mesiar, Radko; Spizzichino, Fabio; Stupňanová, Andrea 36 2014 Ultramodularity and copulas. Zbl 1371.62050 Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 12 2014 Editorial. Zbl 1335.00151 2 2014 Discrete integrals and axiomatically defined functionals. Zbl 1293.28008 Klement, Erich Peter; Mesiar, Radko 5 2012 Ultramodular aggregation functions. Zbl 1258.03082 Klement, Erich Peter; Manzi, Maddalena; Mesiar, Radko 21 2011 Measures of non-exchangeability for bivariate random vectors. Zbl 1247.60047 Durante, Fabrizio; Klement, Erich Peter; Sempi, Carlo; Úbeda-Flores, Manuel 25 2010 Fuzzy logics with an additional involutive negation. Zbl 1189.03028 Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 18 2010 Lipschitz continuity of discrete universal integrals based on copulas. Zbl 1190.28010 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Stupňanová, Andrea 7 2010 A nonlinear integral which generalizes both the Choquet and the Sugeno integral. Zbl 1256.28008 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 5 2010 On extensions of triangular norms on bounded lattices. Zbl 1171.03011 Saminger-Platz, Susanne; Klement, Erich Peter; Mesiar, Radko 46 2008 Bounds for trivariate copulas with given bivariate marginals. Zbl 1162.62047 Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan 13 2008 Conjunctors and their residual implicators: characterizations and construction methods. Zbl 1139.03014 Durante, Fabrizio; Klement, Erich Peter; Mesiar, Radko; Sempi, Carlo 80 2007 Copulas constructed from horizontal sections. Zbl 1130.60017 Klement, Erich Peter; Kolesárová, Anna; Mesiar, Radko; Sempi, Carlo 32 2007 Remarks on two product-like constructions for copulas. Zbl 1136.60306 Durante, Fabrizio; Klement, Erich Peter; Quesada-Molina, José Juan; Sarkoci, Peter 23 2007 Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section. Zbl 1138.60016 Klement, Erich Peter; Kolesárová, Anna 22 2007 How non-symmetric can a copula be? Zbl 1150.62027 Klement, Erich Peter; Mesiar, Radko 34 2006 Residuated logics based on strict triangular norms with an involutive negation. Zbl 1165.03326 Cintula, Petr; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 13 2006 Open problems posed at the eighth international conference on fuzzy set theory and applications. Zbl 1249.03099 Mesiar, Radko; Klement, Erich Peter 8 2006 Archimedean components of triangular norms. Zbl 1087.20041 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 79 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 59 2005 Extension to copulas and quasi-copulas as special \(1\)-Lipschitz aggregation operators. Zbl 1249.60017 Klement, Erich Peter; Kolesárová, Anna 42 2005 Transformations of copulas. Zbl 1243.62019 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 29 2005 Archimax copulas and invariance under transformations. Zbl 1126.62040 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 23 2005 Triangular norms: basic notions and properties. Zbl 1078.03022 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 8 2005 Different types of continuity of triangular norms revisited. Zbl 1081.26024 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2005 Sufficient triangular norms in many-valued logics with standard negation. Zbl 1085.03018 Butnariu, Dan; Klement, Erich Peter; Mesiar, Radko; Navara, Mirko 4 2005 Semigroups and triangular norms. Zbl 1082.06013 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1 2005 Triangular norms. Position paper I: Basic analytical and algebraic properties. Zbl 1038.03027 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 87 2004 Triangular norms. Position paper II: General constructions and parameterized families. Zbl 1059.03012 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 50 2004 Triangular norms. Position paper III: Continuous t-norms. Zbl 1059.03013 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 41 2004 Measure-based aggregation operators. Zbl 1046.28011 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 26 2004 Problems on triangular norms and related operators. Zbl 1050.03019 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 23 2004 1-Lipschitz aggregation operators, quasi-copulas and copulas with given diagonals. Zbl 1071.62048 Klement, Erich Peter; Kolesárová, Anna 8 2004 Transformations of copulas and quasi-copulas. Zbl 1063.62078 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 4 2004 A comparison of variable selection methods with the main focus on orthogonalization. Zbl 1114.68543 Groißböck, 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 49 2003 FS-FOIL: An inductive learning method for extracting interpretable fuzzy descriptions. Zbl 1026.68111 Drobics, Mario; Bodenhofer, Ulrich; Klement, Erich Peter 8 2003 Two approaches to fuzzy propositional logics. Zbl 1043.03017 Hekrdla, Josef; Klement, Erich Peter; Navara, Mirko 6 2003 Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford. Zbl 1007.20054 Klement, E. P.; Mesiar, R.; Pap, E. 72 2002 Invariant copulas. Zbl 1264.62045 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 27 2002 Triangular norm-based measures. Zbl 1035.28015 Butnariu, Dan; Klement, Erich Peter 7 2002 On the order of triangular norms – comments on “A triangular norm hierarchy” by E. Cretu. Zbl 1012.03033 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 3 2002 Interpolation and extrapolation of fuzzy quantities – the multiple-dimensional case. Zbl 1026.93030 Jenei, S.; Klement, E. P.; Konzel, R. 3 2002 Uniform approximation of associative copulas by strict and non-strict copulas. Zbl 1054.62064 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 17 2001 Genetic optimization of fuzzy classification systems – a case study. Zbl 1002.68148 Bodenhofer, Ulrich; Klement, Erich Peter 2 2001 Triangular norms. Zbl 0972.03002 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 1,531 2000 Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Zbl 0991.28014 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 44 2000 Triangular norms – basic properties and representation theorems. Zbl 1010.03046 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 7 2000 Generated triangular norms. Zbl 1249.03100 Mesiar, Radko; Pap, Endre; Klement, Erich Peter 4 2000 Measures on triangular norm-based tribes: Properties and integral representations. Zbl 0972.28010 Butnariu, Dan; Klement, Erich Peter 2 2000 Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms. Zbl 0953.26008 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 58 1999 A survey on different triangular norm-based fuzzy logics. Zbl 0945.03032 Klement, Erich Peter; Navara, Mirko 49 1999 Convex combinations in terms of triangular norms: A characterization of idempotent, bisymmetrical and self-dual compensatory operators. Zbl 0928.03063 Moser, Bernhard; Tsiporkova, Elena; Klement, Erich Peter 8 1999 Fundamentals of a generalized measure theory. Zbl 0977.28011 Klement, E. P.; Weber, S. 7 1999 Are fuzzy systems universal approximators? Zbl 0936.93034 Klement, Erich Peter; Kóczy, László T.; Moser, Bernhard 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 0947.03035 Klement, Erich Peter; Navara, Mirko 4 1999 On some geometric transformation of \(t\)-norms. Zbl 0932.03066 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 9 1998 A characterization of the ordering of continuous \(t\)-norms. Zbl 0914.04006 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 19 1997 Triangular norms. Zbl 0915.04002 Klement, Peter Erich; Mesiar, Radko 10 1997 On the redundancy of fuzzy partitions. Zbl 0904.04006 Klement, Erich Peter; Moser, Bernhard 6 1997 A characterization of tribes with respect to the Łukasiewicz \(t\)-norm. Zbl 0902.28015 Klement, Erich Peter; Navara, Mirko 6 1997 Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures. Zbl 0922.03032 Klement, Erich Peter 5 1997 On the relationship of associative compensatory operators to triangular norms and conorms. Zbl 1232.03041 Klement, Erich Peter; Mesiar, Radko; Pap, Endre 61 1996 Core, value and equilibria for market games: On a problem of Aumann and Shapley. Zbl 0852.90142 Butnariu, Dan; Klement, Erich Peter 3 1996 On triangular norm-based propositional fuzzy logics. Zbl 0844.03011 Butnariu, 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 16 1995 Modeling of control functions by fuzzy controllers. Zbl 0851.93038 Bauer, Peter; Klement, Erich Peter; Moser, Bernhard; Leikermoser, Albert 5 1995 An integral representation for decomposable measures of measurable functions. Zbl 0796.28015 Klement, Erich Peter; Weber, Siegfried 4 1994 Triangular norm-based measures and games with fuzzy coalitions. Zbl 0804.90145 Butnariu, Dan; Klement, Erich Peter 123 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 20 1992 Triangular norms and some applications to measure and game theory. Zbl 0847.04005 Butnariu, Dan; Klement, Erich Peter 3 1992 Triangular norm-based measures and their Markov kernel representation. Zbl 0751.60003 Butnariu, Dan; Klement, Erich Peter 41 1991 Generalized measures. Zbl 0733.28012 Klement, Erich Peter; Weber, Siegfried 33 1991 A Radon-Nikodým theorem for fuzzy-valued measures. Zbl 0646.28015 Klement, Erich Peter 2 1988 Limit theorems for fuzzy random variables. Zbl 0605.60038 Klement, E. P.; Puri, M. L.; Ralescu, D. A. 212 1986 Integration of fuzzy-valued functions. Zbl 0611.28009 Klement, Erich Peter 14 1985 Law of large numbers and central limit theorem for fuzzy random variables. Zbl 0549.60033 Klement, E. Peter; Puri, Madan L.; Ralescu, Dan A. 5 1984 Plausibility measures. A general framework for possibility and fuzzy probability measures. Zbl 0562.60003 Höhle, Ulrich; Klement, Erich Peter 3 1984 Nonlinearity of the fuzzy integral. Zbl 0573.28003 Klement, Erich Peter; Ralescu, Dan 16 1983 Fuzzy measures assuming their values in the set of fuzzy numbers. Zbl 0573.28002 Klement, E. P. 13 1983 Construction of fuzzy sigma-algebras using triangular norms. Zbl 0491.28003 Klement, E. P. 57 1982 Characterization of fuzzy measures constructed by means of triangular norms. Zbl 0491.28004 Klement, E. P. 25 1982 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,079 Authors 227 Mesiar, Radko 89 De Baets, Bernard 61 Pap, Endre 60 Klement, Erich Peter 54 Torrens, Joan 51 Yager, Ronald R. 49 Kolesárová, Anna 48 Bustince Sola, Humberto 48 Liu, Huawen 47 Durante, Fabrizio 42 Bedregal, Benjamín René Callejas 42 De Meyer, Hans E. 37 Ouyang, Yao 36 Fernández-Sánchez, Juan 35 Qin, Feng 33 Baczynski, Michal 32 Su, Yong 31 Massanet, Sebastià 30 Mesiarová-Zemánková, Andrea 29 Úbeda-Flores, Manuel 28 Ruiz-Aguilera, Daniel 27 Hu, Baoqing 26 Jayaram, Balasubramaniam 26 Li, Jun 26 Qiao, Junsheng 24 Saminger-Platz, Susanne 23 Dubois, Didier 22 Gil, María Angeles 22 Navara, Mirko 22 Recasens, Jordi 22 Zhang, Dexue 20 Çaylı, Gül Deniz 20 Montes, Susana 20 Sempi, Carlo 19 Agahi, Hamzeh 19 Dimuro, Graçaliz Pereira 19 Kalina, Martin 19 Karaçal, Funda 19 Prade, Henri M. 19 Štajner-Papuga, Ivana 18 Fernández Fernández, Francisco Javier 18 Pradera, Ana 17 Calvo, Tomasa 17 Jenei, Sándor 17 Omladič, Matjaž 17 Wang, Zhudeng 16 Jin, LeSheng 16 López-Díaz, Miguel 16 Monserrat, Miquel 16 Vychodil, Vilém 15 Aşici, Emel 15 Beliakov, Gleb 15 Holcapek, Michal 15 Hutník, Ondrej 15 Medina, Jesús 15 Pedrycz, Witold 15 Terán, Pedro 15 Trutschnig, Wolfgang 14 Butnariu, Dan 14 Díaz, Susana 14 Fodor, János C. 14 Lai, Hongliang 14 Pulmannová, Sylvia 14 Zhao, Bin 14 Zong, Wenwen 13 Drygaś, Paweł 13 Godo, Lluís 13 Kerre, Etienne E. 13 Kim, Yun Kyong 13 Štrboja, Mirjana 13 Stupňanová, Andrea 12 Coletti, Giulianella 12 Cornejo, Maria Eugenia 12 Grabisch, Michel 12 Jočić, Dragan 12 Kesicioğlu, Mücahide Nesibe 12 Khare, Mona 12 Riečan, Beloslav 11 Colubi, Ana 11 Deschrijver, Glad 11 Dombi, Jozsef 11 Drewniak, Józef 11 Fang, Jinxuan 11 Ghiselli Ricci, Roberto 11 Greco, Salvatore 11 Halčinová, Lenka 11 Hong, Dug Hun 11 Jwaid, Tarad 11 Kroupa, Tomáš 11 Li, Shoumei 11 Maes, Koen C. 11 Mayor, Gaspar 11 Qiu, Dong 11 Vantaggi, Barbara 11 Xie, Aifang 10 Avallone, Anna 10 Kawabe, Jun 10 Kokol-Bukovšek, Damjana 10 Novák, Vilém 10 Pei, Daowu ...and 1,979 more Authors all top 5 Cited in 228 Serials 1,044 Fuzzy Sets and Systems 309 Information Sciences 180 International Journal of Approximate Reasoning 119 Kybernetika 71 Soft Computing 53 Journal of Mathematical Analysis and Applications 40 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 37 Iranian Journal of Fuzzy Systems 22 European Journal of Operational Research 22 Fuzzy Optimization and Decision Making 21 Dependence Modeling 20 International Journal of General Systems 20 Computational and Applied Mathematics 19 Mathematica Slovaca 17 Aequationes Mathematicae 17 Journal of Intelligent and Fuzzy Systems 15 Nonlinear Analysis. 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Series Mathematics and Informatics 2 Applications of Mathematics 2 Journal of Mathematical Imaging and Vision 2 Tatra Mountains Mathematical Publications 2 Journal of Computer and Systems Sciences International ...and 128 more Serials all top 5 Cited in 44 Fields 1,272 Mathematical logic and foundations (03-XX) 472 Computer science (68-XX) 369 Measure and integration (28-XX) 332 Statistics (62-XX) 289 Probability theory and stochastic processes (60-XX) 288 Order, lattices, ordered algebraic structures (06-XX) 220 General topology (54-XX) 218 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 141 Real functions (26-XX) 91 Operations research, mathematical programming (90-XX) 87 Information and communication theory, circuits (94-XX) 77 Difference and functional equations (39-XX) 54 Functional analysis (46-XX) 50 Category theory; homological algebra (18-XX) 43 Quantum theory (81-XX) 39 Systems theory; control (93-XX) 32 Group theory and generalizations (20-XX) 27 Operator theory (47-XX) 25 General algebraic systems (08-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 14 Sequences, series, summability (40-XX) 11 Combinatorics (05-XX) 11 Biology and other natural sciences (92-XX) 10 Associative rings and algebras (16-XX) 10 Approximations and expansions (41-XX) 8 Topological groups, Lie groups (22-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 Integral equations (45-XX) 3 Manifolds and cell complexes (57-XX) 2 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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