粗糙集的不确定性度量准则

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Abstract Since some uncertainty measures of rough sets are unreasonable under some circumstances, a basic rule set of uncertainty measure of rough set is proposed from the perspective of intuition. All the uncertainty measures except the quadratic fuzziness satisfy the basic rule set. The uncertainty measures satisfying the basic rule set still have unreasonability, and thus an extended rule set is further developed. The fuzzy entropy and revised fuzziness are the uncertainty measures satisfying the extended rule set, while the roughness, rough entropy and linear fuzziness are not. The results provide theoretical basis of the reasonability or unreasonability for the existing uncertainty measures, and it is a foundation for designing new uncertainty measures.

Key words： Uncertainty Roughness Rough Entropy Fuzziness Fuzzy Entropy Rough Set

Received: 17 April 2009

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