Left (right) semi-uninorms and coimplications on a complete lattice

被引：10
|
作者：
Wang, Zhudeng [1 ]
机构：
[1] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Jiangsu, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2016年 / 287卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy connective; Left (right) semi-uninorm; Coimplication; Neutrality principle; Order property;
D O I：
10.1016/j.fss.2015.03.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we firstly discuss the deresidual operations of left (right) semi-uninorms and show which properties they satisfy. Then, we investigate the left and right semi-uninorms induced by a coimplication and give some conditions such that the operations induced by a coimplication constitute left or right semi-uninorms. Finally, we demonstrate that the meet-semilattice of all disjunctive right (left) boolean AND-distributive left (right) semi-uninorms is order-reversing isomorphic to the join-semilattice of all right boolean OR-distributive coimplications, which satisfy the neutrality principle. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：227 / 239
页数：13
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