L-fuzzy roughness of n-ary polygroups

被引：0
|
作者：
Yun Qiang Yin
Jian Ming Zhan
P. Corsini
机构：
[1] East China Institute of Technology,School of Mathematics and Information Sciences
[2] Hubei University for Nationalities,Department of Mathematics
[3] Department of Biology and Agro-Industrial Economy,undefined
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
-Ary polygroups; (normal) ; -fuzzy ; -ary polygroups; -lower ; -fuzzy rough approximation; -upper ; -fuzzy rough approximation; (strong) homomorphism; 20N20; 20N15; 20N25;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of (normal) TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concept of L-fuzzy sets, the notion of ϑ-lower and T-upper L-fuzzy rough approximation operators with respect to an L-fuzzy set is introduced and some related properties are presented. Then a new algebraic structure called (normal) TL-fuzzy rough n-ary polygroup is defined and investigated. Also, the (strong) homomorphism of ϑ-lower and T-upper L-fuzzy rough approximation operators is studied.
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页码：97 / 118
页数：21
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