Characteristic Analysis of Fuzzy Graph and its Application Ⅴ

Abstract

We have been studying a framework for sequence of nodes in Fuzzy Graph. We proposed a new method ‘Fuzzy Core Index Method’ based on fuzzy core value. The fuzzy core index method enables us to convert a fuzzy graph with a partially ordered structure into a graph with a fully ordered structure. The advantage of the proposed method is that the sequence of nodes can be analysed even if the relationship of the analysis object does not satisfy the transition law. By the way, all nodes have been treated as equivalent so far, this time, we propose a method of sequencing analysis that gives weights to nodes.