Decomposition of rough sets based on fuzzy equivalence relation

被引:0
|
作者
Xu, Xiao-Jing [1 ]
Pei, Hai-Feng [1 ]
Shi, Kai-Quan [1 ]
机构
[1] School of Math. and System Sci., Shandong Univ., Jinan 250100, China
关键词
Computer aided software engineering - Equivalence classes - Fuzzy sets;
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摘要
Firstly this paper presents some properties of fuzzy similarity relation and fuzzy equivalence relation. Secondly λ-equivalence classes are founded based on the fuzzy equivalence relation according to its properties and λ-rough sets are founded based on the λ-equivalence classes. λ-rough sets is a general case of Z. Pawlakrough sets. The general properties of the λ-equivalence classes and λ-rough sets are presented. The decomposition of λ-equiralence class and the decomposition of λ-rough sets are defined. Lastly the decomposition chain of rough sets is given.
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页码:626 / 628
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