Kernel and closure of Vague relation

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (36): 21-24.

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Kernel and closure of Vague relation

YANG Hai-long,LI Sheng-gang

College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-12-21 Published:2007-12-21
Contact: YANG Hai-long

Vague关系的核与闭包

杨海龙,李生刚

陕西师范大学数学与信息科学学院，西安 710062

通讯作者: 杨海龙

Abstract

Abstract: The notions of anti-reflexive kernel，symmetric kernel，reflexive closure and symmetric closure of Vague relation are given.Their accurate calculation formulae and some properties are respectively obtained，fourteen theorem of Vague relations is proved.At last，it is obtained that symmetric closure of reflexive closure of Vague relation is a Vague similar relation.

Key words: Vague relation, kernel, closure

摘要： 给出了Vague关系的反自反核、对称核、自反闭包以及对称闭包的概念。分别得到它们的精确计算公式以及若干性质，证明了Vague关系的十四集定理。最后得到Vague关系的自反闭包的对称闭包是一个Vague相似关系。

关键词: Vague关系, 核, 闭包

YANG Hai-long,LI Sheng-gang. Kernel and closure of Vague relation[J]. Computer Engineering and Applications, 2007, 43(36): 21-24.

杨海龙,李生刚. Vague关系的核与闭包[J]. 计算机工程与应用, 2007, 43(36): 21-24.

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Kernel and closure of Vague relation

Vague关系的核与闭包

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