Fuzzy implications based on semicopulas

被引：20

作者：

Baczynski, Michal ^{[1
]}

Grzegorzewski, Przemyslaw ^{[2
,3
]}

Mesiar, Radko ^{[4
,5
]}

Helbin, Piotr ^{[1
]}

Niemyska, Wanda ^{[1
]}

机构：

[1] Univ Silesia, Inst Math, Bankowa 14, PL-40007 Katowice, Poland

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

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

[4] Slovak Univ Technol Bratislava, Radlinskeho 11, Bratislava 81005, Slovakia

[5] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, NSC Ctr Excellence IT4Innovat, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 323卷

关键词：

Copula; Fuzzy implication; Probabilistic implication; Semicopula; PROBABILISTIC IMPLICATIONS;

D O I：

10.1016/j.fss.2016.09.009

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Probabilistic implications and probabilistic S-implications, introduced recently by Grzegorzewski, have attracted attention of researchers engaged in fuzzy implications. Since these two families are based on copulas, they form a kind of bridge between probability theory and fuzzy logic. In this paper we generalize the aforementioned two classes and propose a new approach for constructing fuzzy implications which combines a given a priori fuzzy implication and a semicopula. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：138 / 151

页数：14

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