Transformation and entropy for fuzzy rough sets  

作　　者：Zhang Chengyi Li Dongya Fu Haiyan Chen Guohui 

机构地区：[1]Dept. of Math. and Comp. Sc., Hainan Normal Univ., Haikou 571158, P. R. China [2]Dept. of Math., Huanghuai College, Zhumadian 463000, P. R. China [3]School of Mathematics and System Science, Shandong Univ., Jinan 250100, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2008年第1期94-98,共5页系统工程与电子技术（英文版）

基　　金：the National Natural Science Foundation of China (60364001, 70461001);Hainan ProvincialNatural Science Foundation of China (80401).

摘　　要：A new method for translating a fuzzy rough set to a fuzzy set is introduced and the fuzzy approximation of a fuzzy rough set is given. The properties of the fuzzy approximation of a fuzzy rough set are studied and a fuzzy entropy measure for fuzzy rough sets is proposed. This measure is consistent with similar considerations for ordinary fuzzy sets and is the result of the fuzzy approximation of fuzzy rough sets.A new method for translating a fuzzy rough set to a fuzzy set is introduced and the fuzzy approximation of a fuzzy rough set is given. The properties of the fuzzy approximation of a fuzzy rough set are studied and a fuzzy entropy measure for fuzzy rough sets is proposed. This measure is consistent with similar considerations for ordinary fuzzy sets and is the result of the fuzzy approximation of fuzzy rough sets.

关 键 词：fuzzy approximation fuzzy rough set fuzzy entropy 

分 类 号：O159[理学—数学]