An fuzzy measure identification method using pairwise comparisons

Abstract

We propose an identification method of the fuzzy measure using diamond pairwise comparison method.Right and left side of the diamond means ordinal weights' comparison and up and down means interaction degree's comparison.By the comparisons, we estimate a hierarchy structure of the evaluation, interaction degrees of the structure and weights of evaluation items.Using the structure, we identified the fuzzy measure of the comparisons using adjusted lambda fuzzy measure, which is defined to calculate the partial interaction relations.