Journal of Systems Engineering and Electronics ›› 2008, Vol. 19 ›› Issue (1): 94-98.

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

Transformation and entropy for fuzzy rough sets

Zhang Chengyi1,2, Li Dongya2, Fu Haiyan1,3 & Chen Guohui1   

  1. 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
  • Online:2008-02-21 Published:2010-01-03


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.