Fuzzy quotient sublattices

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (8): 35-36.

• 研究、探讨 • Previous Articles Next Articles

Fuzzy quotient sublattices

HUA Xiujuan1, XIN Xiaolong1, ZHU Xi2

1.Department of Mathematics, Northwest University, Xi’an 710127, China
2.Department of Basic Courses, Engineering College of Armed Police Force, Xi’an 710086, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-03-11 Published:2012-03-11

模糊商子格

花秀娟1，辛小龙1，朱熙2

1.西北大学数学系，西安 710127
2.武警工程学院基础部，西安 710086

Abstract

Abstract: Based on fuzzy congruence relation, the concepts of several kinds of fuzzy relations and fuzzy quotient sublattices are introduced. Some fundamental properties are discussed. Isomorphism theorems of fuzzy quotient sublattices are established.

Key words: equivalent relation, fuzzy congruence relation, fuzzy sublattices, fuzzy quotient sublattices

摘要： 利用模糊同余关系给出了几种广义模糊关系和模糊商子格的定义，讨论了几个基本的性质并建立了模糊商子格的一些同构定理。

关键词: 等价关系, 模糊同余关系, 模糊子格, 模糊商子格

HUA Xiujuan1, XIN Xiaolong1, ZHU Xi2. Fuzzy quotient sublattices[J]. Computer Engineering and Applications, 2012, 48(8): 35-36.

花秀娟1，辛小龙1，朱熙2. 模糊商子格[J]. 计算机工程与应用, 2012, 48(8): 35-36.

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Fuzzy quotient sublattices

模糊商子格

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