Constructions of coimplications and left (right) semi-uninorms on a complete lattice

被引：4

作者：

Wang, Zhudeng ^{[1
]}

Niu, Meixia ^{[1
,2
]}

Hao, Xiaoying ^{[1
,2
]}

机构：

[1] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Jiangsu, Peoples R China

[2] Qinghai Normal Univ, Dept Math, Xining 810000, Peoples R China

来源：

INFORMATION SCIENCES | 2015年 / 317卷

关键词：

Fuzzy connective; Coimplication; Left (right) semi-uninorm; Upper (lower) approximation; Neutrality principle; PSEUDO-UNINORMS; T-NORMS; OPERATORS;

D O I：

10.1016/j.ins.2015.04.046

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we further study the constructions of coimplications and left (right) semi-uninorms on a complete lattice. We firstly investigate the residual coimplications generated by left (right) semi-uninorms and the left (right) semi-uninorms induced by coimplications. Then, we give out the formulas for calculating the upper and lower approximation disjunctive left (right) semi-uninorms and the upper and lower approximation coimplications, which satisfy the neutrality principle, of a binary operation. Finally, we discuss the relationships between disjunctive left (right) semi-uninorms and coimplications which satisfy the neutrality principle. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：181 / 195

页数：15

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