Characterizations of residual coimplications of pseudo-uninorms on a complete lattice

被引：16

作者：

Su, Yong ^{[1
]}

Liu, Hua-Wen ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 261卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy connective; Uninorm; Pseudo-uninorm; Coimplication; Residual coimplication; FUZZY; OPERATORS; THEOREM; MYCIN;

D O I：

10.1016/j.fss.2014.06.008

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Pseudo-uninorms are a generalization of uninorms by removing the commutativity from the axioms of the uninorms. In this paper, we further study coimplications generated from pseudo-uninorms on a complete lattice. Firstly, we further discuss the properties of residual coimplications generated from pseudo-uninorms on a complete lattice. Then, we recall the induced operators by coimplications on a complete lattice and give conditions such that they are pseudo-uninorms. Finally, we give out some characterizations of the residual coimplications generated from (right) infinitely Lambda-distributive disjunctive pseudo-uninorms on a complete lattice. (C) 2014 Elsevier B.V. Allrightsreserved.

引用

页码：44 / 59

页数：16