单调贴近度及其与模糊熵、包含度的关系

Monotonic Similarity Measure and Its Relationship with Fuzzy Entropy and Inclusion Measure

针对贴近度公理化定义中存在的问题,定义一类新的贴近度,称之为单调贴近度,并对单调贴近度的性质及其与模糊熵及包含度之间的关系进行研究,给出利用模糊熵或包含度构造单调贴近度,以及利用单调贴近度构造模糊熵及包含度的方法。

A novel class of similarity measure, named monotonic similarity measure, is defined. Furthermore, the properties of monotonic similarity measure and its relationship with fuzzy entropy and inclusion measure are investigated. As a result, the methods for constructing monotonic similarity measure using fuzzy entropy and inclusion measure, and the methods for obtaining fuzzy entropy and inclusion measure using monotonic similarity measure are provided.