Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (1): 30-32.DOI: 10.3778/j.issn.1002-8331.2009.01.008

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α-decomposition of vague relation

YANG Hai-long,LI Sheng-gang   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-07-20 Revised:2008-08-25 Online:2009-01-01 Published:2009-01-01
  • Contact: YANG Hai-long

Vague关系的α-分解

杨海龙,李生刚   

  1. 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: The notion that a vague relation R is α-decomposable is introduced.Two necessary and sufficient conditions that a vague relation R is α-decomposable are given.As R is α-decomposable,the solution sets of A and B with R=AαB are given,respectively.

Key words: vague relation, α-decomposition, solution set

摘要: 提出了Vague关系R是可α-分解的概念。得到Vague关系R是可α-分解的两个等价刻画。在Vague关系R是可α-分解时,分别给出了使R=AαB成立的AB的解集。

关键词: Vague关系, α-分解, 解集