基于结构元理论的模糊数可能度排序方法

Possibility Degree Methods for Ranking Fuzzy Numbers Based on Structured Element

简化了区间数比较的可能度公理,提出了模糊数比较的可能度公理.基于结构元理论,定义了模糊数的减法型可能度、除法型可能度.通过8组模糊数集,对4个可能度模型进行比较分析,以说明减法型可能度和除法型可能度的性能.

This paper simplifies possibility degree axiom of inter numbers and proposes possibility degree axiom of fuzzy numbers because of the complexity of fuzzy numbers themselves and their operations.Subtraction-type possibility degree and division-type possibility degree of fuzzy numbers are defined based on the structured element theory.In order to illustrate the performance of subtraction-type possibility degree and division-type possibility degree,a comparative analysis is made on the four possibility degree models through eight sets of fuzzy numbers.