模糊集的包含度与熵

Inclusion degree and entropy on fuzzy sets

利用普通模糊集的相关理论,研究包含度的性质及其与模糊熵的关系,给出了包含度的5个重要定理.对包含度与模糊熵的相互诱导关系进行了再研究,得到了新的包含度公式和熵公式,并举例说明了新包含度公式具有更强的分辨能力.

Using the theory of fuzzy sets, the properties of inclusion degree and the relationship between fuzzy entropy and inclusion degree were studied. Five important theorems of inclusion degree were given. New formulas of entropy and inclusion degree have been obtained through discussing the reduced relationship between fuzzy entropy and inclusion degree. It can be found that the new formulas of inclusion degree have stronger power to distinguish fuzzy sets by the example.