Transformation and entropy for fuzzy rough sets

Zhang Chengyi, Dongya Li, Haiyan Fu, Chen Guohui · Journal of Systems Engineering and Electronics · 2008

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.

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