A note on quasi-copulas and signed measures

被引：7

作者：

Fernandez-Sanchez, Juan ^{[1
]}

Ubeda-Flores, Manuel ^{[2
]}

机构：

[1] Univ Almeria, Grp Invest Anal Matemat, Almeria 04120, Spain

[2] Univ Almeria, Dept Matemat, Almeria 04120, Spain

来源：

FUZZY SETS AND SYSTEMS | 2014年 / 234卷

关键词：

Copula; Quasi-copula; Self-affinity; Stochastic signed measure;

D O I：

10.1016/j.fss.2013.04.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note we provide two alternative proofs to that given in Nelsen et al. [Quasi-copulas and signed measures, Fuzzy Sets Syst. 161 (2010) 2328-2336] of the fact that the best possible lower bound for the set of n-quasi-copulas does not induce a stochastic measure on [0, 1](n) for n >= 3: firstly, by focusing on its mass distribution, and secondly, by using concepts of self-affinity. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：109 / 112

页数：4

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