覆盖粗糙模糊集的不确定性研究

不确定性度量是粗糙集理论中的基础问题之一。粗糙模糊集的不确定性一方面来自上、下近似集间差异产生的粗糙性,另一方面来自概念外延不清晰产生的模糊性。目前对于粗糙模糊集的不确定性研究仍不够透彻。针对覆盖近似空间下的粗糙模糊集不确定性,提出更加严格的度量修正准则,并借助上、下近似集隶属度与原模糊集隶属度之间的差异,给出修正粗糙度的概念。算例分析表明该方法能够更加准确地刻画实际问题。

Uncertainty Measure Research on Rough Fuzzy Sets in Covering Approximation Space

Uncertainty measure is one of the basic problems of rough sets theory.The uncertainty of rough fuzzy sets is caused by both the roughness of the difference of the upper and lower approximate sets and the fuzziness of the uncertain concept extension.Now the uncertainty research on rough fuzzy sets is not yet well understood.This paper discussed the uncertainty of rough fuzzy sets in covering approximation space,proposed the more strict revised measurement criterion,and brought out the revised roughness by the membership difference among the original fuzzy sets,the upper and lower approximation sets.Example analysis shows the measurement approach can describe the actual problems more accurately.