Distributivity and conditional distributivity for uni-nullnorms

被引：28
|
作者：
Wang, Gang [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 | 2019年 / 372卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy connectives and aggregation functions; Functional equations; Distributivity; Conditional distributivity; Uni-nullnorms; Uninorm; RESTRICTED DISTRIBUTIVITY; AGGREGATION OPERATORS; UNINORM;
D O I：
10.1016/j.fss.2018.08.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The distributivity and conditional distributivity of a uninorm over a continuous t-conorm is an open problem posed by Klement in the Linz Seminar 2000 closing session. After this, the study of distributivity and conditional distributivity between two aggregation operators become specially interesting. In this work, we continue investigating the same topic for uni-nullnorms, then the full characterization of all pairs (F, G) satisfying distributivity and conditional distributivity is given, where F is a uni-nullnorm, G is a t-norm, or a t-conorm, or a uninorm from U-min and U-max. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：34 / 49
页数：16
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