Abstract

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.

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