Decision Analysis of Fuzzy Partition Tree Applying Fuzzy Theory

We often use fuzzy graph to analyze inexact information such as instruction/cognition sequence, sociometric structure, opinion poll and so on. Concerning the cluster analysis of a fuzzy graph, it is important to decide the optimal cutting level as to a partition tree. In this paper, we would not only discuss our decision analysis of partition tree, but also we would illustrate its practical effectiveness through the sociometry analysis.