Approximate analysis of fuzzy node fuzzy graph and its application

By applying the fuzzy graph theory, we could analyze the inexact information efficiently and investigate the fuzzy relation by fuzzy graph. We extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. We transform it to a crisp node fuzzy graph by using T-norm family. In this paper, we explain a fuzzy node fuzzy graph, and propose a new T-norm family "quasi logical product". By using this new T-norm, we could reasonably transform the fuzzy node fuzzy graph to the crisp node fuzzy graph. Moreover, we illustrate its effectiveness through the sociometry analysis.