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针对覆盖粗糙模糊集的组合熵与组合粒度的度量问题.定义了覆盖粗糙集下对象的相容类,构造了覆盖粗糙集模型的相容关系,提出覆盖近似空间的覆盖簇,引入了覆盖粗糙模糊集模型的组合熵和组合粒度概念,讨论了组合熵和组合粒度的结构并证明了相关的性质并提出了覆盖粗糙模糊集的组合熵粗糙度度量.定义了覆盖簇的相容关系下对象的相容度,提出了相容度下的组合熵概念,证明了相关的定理和性质.最后,引入相容度下组合粒度概念,证明了组合粒度粗糙度存在随覆盖变细,度量单调减少的规律,并通过实例进行了验证.从而为进一步揭示粗糙集、粗糙模糊集及覆盖粗糙模糊集之间的不确定性度量规律提供了理论依据.
Aiming at the measurement problems of the combination entropy and the combination granularity of the rough set fuzzy sets, the compatible classes covering the objects under the rough set are defined, the compatible relation of the rough set models is constructed, the covering clusters covering the approximate space are proposed, The concept of portfolio entropy and portfolio granularity, the structure of portfolio entropy and portfolio granularity are discussed, the relevant properties are proved, and the combination entropy roughness measure covering rough fuzzy sets is proposed. , The concept of portfolio entropy under compatibility is proposed and the related theorems and properties are proved.Finally, by introducing the concept of compositional granularity under compatibility, it is proved that the combined particle size roughness exists with the coverage thinning and the metric monotonically decreasing , And verified by examples.It provides a theoretical basis for further revealing the law of measurement of uncertainty between rough sets, rough fuzzy sets and rough set fuzzy sets.