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
收藏
页码：181 / 195
页数：15
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