计算机工程与应用2011，Vol.47Issue(13)：37-38,41,3.DOI:10.3778/j.issn.1002-8331.2011.13.011
模糊λ商空间研究及其应用
Research and application of fuzzy λ-quotient space
摘要
Abstract
This paper revises two equivalent narratives in the fuzzy quotient space and expands them into three. Then it refines the fuzzy λ-quotient space by making use of the distance function of quotient space X(λ),which more directly inherits the fuzzy quotient space theory. The information quantity of fuzzy-rough probability approximation space is extended to the one of fuzzy λ-quotient space. And this paper gives the reduction rules of hybrid decision system based on fuzzy λ-quotient space so that fuzzy λ-quotient space can get the same reduction results as fuzzy-rough set. These rules solve the problems that in a traditional rough set model direct discretization of numerical attribute usually brings information loss and fuzzy attributes are not taken into consideration.关键词
模糊等价关系/距离空间/模糊λ商空间/混合决策系统/属性约简Key words
fuzzy equivalence relation/distance space/fuzzy λ-quotient space/hybrid decision system/attribute reduction分类
信息技术与安全科学引用本文复制引用
荆泉霖,王加阳..模糊λ商空间研究及其应用[J].计算机工程与应用,2011,47(13):37-38,41,3.基金项目
湖南省自然科学基金(the Natural Science Foundation of Hunan Province of China under Grant No.06JJ20075) （the Natural Science Foundation of Hunan Province of China under Grant No.06JJ20075）
湖南省科技计划项目(No.2008FJ3184) （No.2008FJ3184）
2009长沙市节能专项资金资助. （）
