Sociometry analysis applying fuzzy node fuzzy graph

Abstract

The sociometry is one of the measurement and evaluation methods of social structure which we could effectively analyze by applying the fuzzy graph theory. We extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. And we transform it to a crisp node fuzzy graph using by T-norm. In this paper, we shall explain a fuzzy node fuzzy graph, and propose 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.