Characteristic Analysis of Fuzzy Graph and its Application Ⅳ

Abstract

It should be interesting to analyze the sequence of nodes in Fuzzy Graph. Nishida et al. proposed One-Sided Connectivity Method. This method considers the sequencing problem based on the α- cut. In general, this ordering structure may be a partially ordered set. We proposed a new method ‘Fuzzy Core Index Method’ based on the fuzzy core value. The advantage of the proposed method is that the sequence of nodes can be analyzed even if the relationship of the analysis object does not satisfy the transition law. In this paper, we would introduce the effectiveness of the proposed method through some simulations and introduce the indicators ‘Maximum Eigenvalue’ that can measure the transitivity of the graph.