On the distributivity equations between uni-nullnorms and overlap (grouping) functions

被引：37
|
作者：
Zhang, Ting-hai [1 ]
Qin, Feng [1 ]
Li, Wen-huang [1 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2021年 / 403卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy connectives and aggregation functions; Distributivity equation; Uninorms; Uni-nullnorms; Overlap function; Grouping function; CONDITIONAL DISTRIBUTIVITY; T-NORMS; UNINORMS; OPERATORS;
D O I：
10.1016/j.fss.2019.12.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The distributivity equations between different binary aggregation functions have become an interesting and vast research field since Aczel studied them. This paper is mainly devoted to solving the distributivity equations between uni-nullnorms and overlap (grouping) functions. The sufficient and necessary conditions for the distributivity equations between them are obtained, and during the process, the full characterization of any idempotent uni-nullnorm is given. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：56 / 77
页数：22
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