计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (6): 63-65.DOI: 10.3778/j.issn.1002-8331.2009.06.019

• 研究、探讨 • 上一篇    下一篇

模糊λ商空间研究

王加阳,彭岚琳   

  1. 中南大学 信息科学与工程学院,长沙 410083
  • 收稿日期:2008-09-01 修回日期:2008-12-01 出版日期:2009-02-21 发布日期:2009-02-21
  • 通讯作者: 王加阳

Research on fuzzy λ-quotient space

WANG Jia-yang,PENG Lan-lin   

  1. College of Information Science and Engineering,Central South University,Changsha 410083,China
  • Received:2008-09-01 Revised:2008-12-01 Online:2009-02-21 Published:2009-02-21
  • Contact: WANG Jia-yang

摘要: 把模糊商空间理论推广为模糊λ商空间理论,证明论域上的一个模糊等价关系一一对应于λ商空间上的一个归一化等腰距离函数;给定一个λ截关系序列,则唯一确定一个模糊等价关系。给出模糊λ商空间的定义,并讨论其性质,引入模糊λ商空间族来求解模糊问题。

关键词: λ截关系, λ商空间, 距离空间, 模糊λ商空间, 完备格

Abstract: In this paper,fuzzy quotient space theory is extended to fuzzy λ-quotient space theory,it is proved that a fuzzy equivalence relation given in universe corresponds to a normalized isosceles distance given in λ-quotient space.A series of λ-cut relation can determine only one fuzzy equivalence relation is presented.The definition of λ-fuzzy quotient space is proposed,and its properties are discussed.A group of λ-fuzzy quotient space is introduced to solve fuzzy problem.

Key words: λ-cut relation, λ-quotient space, distance space, fuzzy λ-quotient space, semi-order lattice