Distributivity of a class of ordinal sum implications over t-norms and t-conorms

被引：13
|
作者：
Lu, Jing [1 ]
Zhao, Bin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2020年 / 378卷
基金：
中国国家自然科学基金;
关键词：
Ordinal sum; Distributivity; t-norm; t-conorm; RULE EXPLOSION; FUZZY-SYSTEMS; APPROXIMATION-THEORY; SETS;
D O I：
10.1016/j.fss.2019.01.002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Recently, Baczynski, Drygas, Krol and Mesiar have proposed two constructions of ordinal sums of fuzzy implications-based on the construction of ordinal sum of overlap functions. In this paper, we study the class of ordinal sum implications constructed using the first method, and show that this new class of fuzzy implications is different from the known (S, N)-, R-, QL-, f- and g-implications. Furthermore, we explore this new class of ordinal sum implications with respect to distributivity. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：103 / 124
页数：22
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