On distributivity equations for uninorms over semi-t-operators

被引：33
|
作者：
Su, Yong [1 ]
Zong, Wenwen [1 ]
Liu, Hua-Wen [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2016年 / 299卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy connectives and aggregation operators; Functional equations; Distributivity condition; Uninorm; Semi-t-operator; MULTIPLICATION;
D O I：
10.1016/j.fss.2015.08.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Recently, Drygas generalized nullnorms and t-operators and introduced semi-t-operators by eliminating commutativity from the axioms of t-operators. Distributivity equations were investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms (or called t-operators)). In this paper, we give out the solutions of distributivity equations for uninorms over semi-t-operators. Previous results about distributivity equations for uninorms over nullnorms can be obtained as corollaries. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：41 / 65
页数：25
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