基于模糊结构元表述的模糊数排序

Fuzzy Number Sequence Based on the Expression of Fuzzy Structured Element

讨论了如何利用结构元理论来解决模糊数的排序问题。首先,给出了四种经典的模糊数排序方法,并证明了这四种方法都可以利用结构元理论来表述;进而,提出了一种基于结构元理论的排序方法,给出了该方法的性质,并同传统方法进行了比较。

In this paper,we discuss how to solve the sequencing problem of fuzzy numbers based on fuzzy structured element.Firstly,we introduce four kinds of traditional fuzzy number sequence methods and prove that these methods can be expressed by the theory of structured element;then we put forward a fuzzy number sequence method based on fuzzy structured element and its properties and compare it with the traditional fuzzy number sequence methods.