Durante, Fabrizio Solution of an open problem for associative copulas. (English) Zbl 1065.03035 Fuzzy Sets Syst. 152, No. 2, 411-415 (2005). Summary: An open problem on triangular norms, recently posed by E. P. Klement, R. Mesiar and E. Pap [Fuzzy Sets Syst. 145, 471–479 (2004; Zbl 1050.03019)], is discussed in the class of associative copulas. Cited in 5 Documents MSC: 03E72 Theory of fuzzy sets, etc. 62E10 Characterization and structure theory of statistical distributions 60E05 Probability distributions: general theory Keywords:Copula; Triangular norm; Schur-concavity Citations:Zbl 1050.03019 PDF BibTeX XML Cite \textit{F. Durante}, Fuzzy Sets Syst. 152, No. 2, 411--415 (2005; Zbl 1065.03035) Full Text: DOI OpenURL References: [1] Alsina, C., On Schur-concave \(t\)-norms and triangle functions, (), 241-248 [2] B. De Baets, H. De Meyer, Copulas and the pairwise probabilistic comparison of ordered lists, in: Proceedings of the 10th International Conference IPMU, 2004, pp. 1091-1098. [3] T. Calvo, A. Kolesárová, M. Komorníková, R. Mesiar, Aggregation operators: properties, classes and construction methods, in: T. Calvo, R. Mesiar, G. Mayor (Eds.), Aggregation Operators. New Trends and Applications, Physica, Heidelberg, 2002, pp. 3-106. · Zbl 1039.03015 [4] Durante, F.; Sempi, C., Copulæ and Schur-concavity, Internat. math. J., 3, 893-905, (2003) · Zbl 1231.60014 [5] F. Durante, C. Sempi, Semicopulæ, Kybernetika, in press. [6] Fodor, J.C.; Roubens, M., Fuzzy preference modelling and multicriteria decision support, (1994), Kluwer Dordrecht · Zbl 0827.90002 [7] R. Ghiselli Ricci, M. Navara, Convexity conditions on \(t\)-norms and their additive generator, Fuzzy Sets and Systems, in press. · Zbl 1074.03023 [8] Ling, C.H., Representation of associative functions, Publ. math. debrecen, 12, 189-212, (1965) · Zbl 0137.26401 [9] Klement, E.P.; Mesiar, R.; Pap, E., Triangular norms, (2000), Kluwer Dordrecht · Zbl 0972.03002 [10] Klement, E.P.; Mesiar, R.; Pap, E., Measure-based aggregation operators, Fuzzy sets and systems, 142, 3-14, (2004) · Zbl 1046.28011 [11] Klement, E.P.; Mesiar, R.; Pap, E., Problems on triangular norms and related operators, Fuzzy sets and systems, 145, 471-479, (2004) · Zbl 1050.03019 [12] Marková, A., T-sum of \(L\)-\(R\) fuzzy numbers, Fuzzy sets and systems, 85, 379-384, (1997) · Zbl 0904.04007 [13] Marshall, A.; Olkin, I., Inequalitiestheory of majorization and its applications, (1979), Academic Press New York [14] Nelsen, R.B., An introduction to copulas, (1999), Springer New York · Zbl 0909.62052 [15] Schweizer, B.; Sklar, A., Probabilistic metric spaces, (1983), Elsevier New York · Zbl 0546.60010 [16] Sklar, A., Fonctions de répartition à n dimensions et leurs marges, Publ. inst. statist. univ. Paris, 8, 229-231, (1959) · Zbl 0100.14202 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.