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Transformation and entropy for fuzzy rough sets |
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| Authors: | Zhang Chengyi Li Dongya Fu Haiyan Chen Guohui |
| Institution: | 1. Dept.of Math.and Comp.Sc.,Hainan Normal Univ.,Haikou 571158,P.R.China;Dept.of Math.,Huanghuai College,Zhumadian 463000,P.R.China 2. Dept.of Math.,Huanghuai College,Zhumadian 463000,P.R.China 3. Dept.of Math.and Comp.Sc.,Hainan Normal Univ.,Haikou 571158,P.R.China;School of Mathematics and System Science,Shandong Univ.,Jinan 250100,P.R.China 4. Dept.of Math.and Comp.Sc.,Hainan Normal Univ.,Haikou 571158,P.R.China |
| Abstract: | 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. |
| Keywords: | fuzzy approximation fuzzy rough set fuzzy entropy |
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