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
收藏
页码：44 / 59
页数：16
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