模糊解释结构建模研究

A Study on Fuzzy Interpretive Structural Modeling

本文考虑到系统元素间关系的强弱，对解释结构建模（ＩＳＭ）进行了模糊化推广，提出了模糊解释结构建模（ＦＩＳＭ），并作了较为全面地讨论。文中首先对ＦＩＳＭ中的若干基本概念给予了严格定义。继而基于模糊聚类分析，实现了λ强连通子集划分和λ区域划分。随后给出了λ级别划分的充要条件定理。

An extension of interpretive strctural modeling(ISM)is made in this paper by con-sidering the relation intensity among the system elements. Thus fuzzy interpretivestructural modeling(FISM)is proposed and some detail discussion is made. First,the pa-per defines some fundamental concepts in FISM strictly. Then theλ strongly connectedsubset partition and the λ separate parts partition are implemented based upon fuzzyclustering analysis. After that,a theorem on the sufficiency and necessity condition forλlevel partition is given. Finally,the dynamic process of structural model varying as λ isshown by the given example and its regularity is also discussed in the paper.