模糊熵、距离测度和相似性测度之间的关系

摘要

模糊熵、距离测度和相似性测度是模糊集合的三种重要度量,许多学者对三者之间的关系进行了研究.采用更为严格的定义,通过定义模糊集合之间新的运算研究了三者之间的关系,给出了三者之间的相互诱导公式.对部分公式进行了举例说明.%Fuzzy entropy, distance measure and similarity measure are three important measures of fuzzy sets. Many scholars studied the relationships among them. Using stricter definitions, their relationships are studied though operations of fuzzy sets in this paper, and some induction formulas are given. Additionally, examples of some of the formulas are also presented.