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The Roughness Measures of the Fuzzy Rough Sets
模糊关系下的粗集粗糙度

Keywords: Rough sets,Roughness measures,Fuzzy rough sets,Lower approximation,Upper approximation
粗糙集
,粗糙度,模糊粗糙集,下近似,上近似,模糊关系,粗糙集理论,粗集,模糊集理论,包容

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Abstract:

In this paper, the orughness measures of rough sets is studied. Firstly, the roughness mesures of Pawlak rough sets is analysized in detail,and a inclusion-exclusion principle on rough sets is obtained. We also extend these results to fuzzy rough sets,which is some significance for deeply study of fuzzy rough sets theory.

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