有界闭Fuzzy数的新序

A new order of the closed Fuzzy numbers bounded

在有界闭Fuzzy数中引进了等价类、心以及主半径的概念。在此基础上 ,根据灰色系统理论的基本思想 ,运用主半径和心定义了有界闭Fuzzy数的新序 ,使得有界闭Fuzzy数的全体关于该序构成偏序集。此外 ,通过几个等价定理把依测度、积分、割集等定义的序都统一在本序之下。

In this paper,the equivalence class center principal radius for the closed Fuzzy numbers bounded are introduced.Based on it,a new order of the closed Fuzzy numbers bounded is defined.such that the set of all closed Fuzzy numbers bounded is consitute semi-order set.Besides,in terms of several equivalent theorems are presented that the orders defined according to the measure integral cut set is unified.Finaly some results of order-preserving are obtained.