逆半群上的几类模糊子半群

逆半群上的几类模糊子半群

张鹏鸽, 刘三阳, 高淑萍

西安电子科技大学应用数学系, 西安 710071

收稿日期:2005-10-09 修回日期:1900-01-01 出版日期:2006-09-26 发布日期:2006-09-26
通讯作者: 张鹏鸽

Some Classes of Fuzzy Subsemigroups on Inverse Semigroups

ZHANG Pengge, LIU Sanyang, GAO Shuping

Department of Applied Mathematics, Xidian University, Xi’an 710071, China

Received:2005-10-09 Revised:1900-01-01 Online:2006-09-26 Published:2006-09-26
Contact: ZHANG Pengge

摘要/Abstract

摘要： 利用集合上模糊同余关系, 在逆半群上定义了模糊正规子半群和模糊商子半群, 并研究了逆半群上由这几类模糊关系所定义的模糊同余关系的一些性质. 通过模糊同余关系β, 得到模糊正规商子半群R及S/ρ上的模糊同余关系μ_R.

关键词: 模糊关系, 模糊正规子半群, 模糊商子半群

Abstract: On inverse semigroups, the fuzzy normal subsemigroup and fuzzy quotient subsemigroup are defined via some special fuzzy relation by using fuzzy congruence relation on set. Some basic properties of those fuzzy congruence relation, which are defined by fuzzy relation, were studied, fuzz y normal quoitent sub-semigroup R and fuzzy congruence relation μ_R on inverse semigroup S/ρ were obtained by fuzzy congruence relation β.

Key words: fuzzy relation, fuzzy normal subsemigroup, fuzzy qu otient subsemigroup

中图分类号:

O159

张鹏鸽, 刘三阳, 高淑萍. 逆半群上的几类模糊子半群[J]. J4, 2006, 44(05): 719-722.

ZHANG Pengge, LIU Sanyang, GAO Shuping. Some Classes of Fuzzy Subsemigroups on Inverse Semigroups[J]. J4, 2006, 44(05): 719-722.