Structure Analysis of Fuzzy Node Fuzzy Graph and its Application

概要

論文の詳細を見る
Generally, we could efficiently analyze the inexact information and investigate the fuzzy relation by applying the fuzzy graph theory. We would extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. Since a fuzzy node fuzzy graph is complicated to analyze, we would transform it to a simple fuzzy graph by using T-norm family. In this paper, we would discuss about four subjects, (1) fuzzy node fuzzy graph, (2) new T-norm "quasi logical product", (3) decision analysis of the optimal fuzzy graph G_<λ0> in the fuzzy graph sequence {G_λ} and (4) Us application to sociometry analysis. By using the fuzzy node fuzzy graph theory and the new T-norm, we could clarify the relational structure of fuzzy information. According to the decision method in section 2, we could find the optimal fuzzy graph G_<λ0> in the fuzzy graph sequence {G_λ}, and clarify the structural feature of the fuzzy node fuzzy graph. Moreover, we would illustrate its practical effectiveness with the case study concerning sociometry analysis.
バイオメディカル・ファジィ・システム学会の論文
2006-12-00