On Functions Derived from Fuzzy Implications

被引：1

作者：

Grzegorzewski, Przemyslaw ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Syst Res Inst, Newelska 6, PL-01447 Warsaw, Poland

[2] Warsaw Univ Technol, Fac Math & Comp Sci, Koszykowa 75, PL-00662 Warsaw, Poland

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, IPMU 2016, PT I | 2016年 / 610卷

关键词：

Copula; Fuzzy implication; Probabilistic implication; Spearman's rho; Diagonal section; Quasi-copula; Semi-copula; PROBABILISTIC IMPLICATIONS; S-IMPLICATIONS;

D O I：

10.1007/978-3-319-40596-4_36

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Recently, fuzzy implications based on copulas, i.e. probabilistic implications and probabilistic S-implications, were introduced and their properties were explored. However, the reverse problem of copulas derived from fuzzy implications, suggested by Massanet et al. [11,12], is also of interest. In the paper we consider geometric properties of those fuzzy implications that generate copulas. Moreover, we consider the reverse problem for some generalizations of copulas like quasi-copulas and semi-copulas.

引用

页码：423 / 434

页数：12