The dominance relation in some families of continuous Archimedean t-norms and copulas

被引:23
|
作者
Saminger-Platz, Susanne [1 ]
机构
[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria
基金
奥地利科学基金会;
关键词
Fuzzy connectives and aggregation functions; Triangular norms; Copulas; Dominance; TRIANGULAR NORMS; BIVARIATE DISTRIBUTIONS; CONSTRUCTIONS; INEQUALITY; OPERATORS; TRANSITIVITY; DOMINATION;
D O I
10.1016/j.fss.2008.12.009
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The dominance relation in several families of continuous Archimedean t-norms and copulas is investigated. On the one hand, the contribution provides a comprehensive overview on recent conditions and properties of dominance as well as known results for particular cases of families. On the other hand, it contains new results clarifying the dominance relationship in live additional families of continuous Archimedean t-norms and copulas. (C) 2009 Elsevier B.V. All rights reserved.
引用
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页码:2017 / 2031
页数:15
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