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
收藏
页码：423 / 434
页数：12
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