Vague集模糊熵的约束条件及其度量方法分析

Analysis of constraint conditions and measurement method on fuzzy entropy of vague sets

为了体现vague集模糊熵既有vague集的未知性又有fuzzy集的不确定性,首先给出了反例说明已有方法在某些情况得出的结果与实际结论不一致情况下,提出了一个真正考虑了两种因素的改进的vague集模糊熵定义,然后给出一种vague集模糊熵的新度量方法,最后通过定理证明和实例分析,指出它确实同时考虑到vague集的未知性和不确定性,从而证明所给出vague集模糊熵的定义是更加合理的。

The fuzzy entropy of vague sets should include the unknown and the uncertainty,at first,gave a counterexample to show that the result used the existing method in some cases and practical conclusions were inconsistent,then proposed an improved definition on the fuzzy entropy of vague sets taking really into account two factors that were unknown and uncertainty,and presented a corresponding new measurement on the fuzzy entropy of vague sets. Finally pointed out the unknown and the uncertainty to take really into account simultaneously by theorem proof and example analysis. And then it is proved that the definition on the fuzzy entropy of vague sets is more efficient and rational.