模糊集的直觉熵与直觉相似度

熵与相似度都是用来描述模糊集模糊程度的指标,现有方法都是通过将其刻画为具体的数值展开研究.针对当模糊集的模糊程度具有不确定性,无法利用具体的数值表示时,如何利用熵与相似度来进行度量的问题展开讨论.首先提出了直觉熵与直觉相似度的定义,其次利用两个定理说明直觉熵与直觉相似度可以相互转化.

Intuitionistic entropy and intuitionistic similarity of fuzzy sets

Both entropy and similarity are used to describe the fuzziness of the fuzzy sets. But in existing methods, they are still represented as specific values to be studied. Aiming at the uncertainty of the fuzziness of the fuzzy sets which can not be expressed by specific value, the problem of how to measure with entropy and similarity is discussed. Firstly, intuitionistic entropy and intuitionistic similarity are defined. And then, two theorems are proposed to show how these definitions can be deduced to each other.