论文信息 - Solution of an open problem for associative copulas - 字舞流文

Solution of an open problem for associative copulas

An open problem on triangular norms, recently posed by Klement et al. [Fuzzy Sets and Systems 145 (2004) 471], is discussed in the class of associative copulas.

Fabrizio Durante

[1] Bernard De Baets,et al. Copulas and the pairwise comparison of ordered lists , 2004 .

[2] Claudi Alsina. On Schur-Concave t-Norms and Triangle Functions , 1984 .

[3] Marc Roubens,et al. Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[4] Radko Mesiar,et al. Measure-based aggregation operators , 2004, Fuzzy Sets Syst..

[5] M. Sklar. Fonctions de repartition a n dimensions et leurs marges , 1959 .

[6] R. Mesiar,et al. Aggregation operators: properties, classes and construction methods , 2002 .

[7] Andrea Marková. T-sum of L-R fuzzy numbers , 1997, Fuzzy Sets Syst..

[8] Mirko Navara,et al. Convexity conditions on t-norms and their additive generators , 2005, Fuzzy Sets Syst..

[9] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .

[10] Gaspar Mayor,et al. Aggregation Operators , 2002 .

[11] Radko Mesiar,et al. Problems on triangular norms and related operators , 2004, Fuzzy Sets Syst..

[12] R. Nelsen. An Introduction to Copulas , 1998 .