A fuzzy measure identification method by diamond pairwise comparisons and phi(S) transformation
We propose an identification method of fuzzy measures by diamond pairwise comparisons. Right and left side of the diamond means ordinal weights' comparison and up and down means interaction degrees. From the comparisons, we estimate a hierarchy diagram with interaction degrees and weights of evaluation items using the agglomerative hierarchical clustering method. From the diagram, to identify the fuzzy measure, phi(S) conversion method is proposed.
fuzzy measure identification diamond pairwise comparison hierarchy diagram clustering lambda-fuzzy measure ahp grabish's graphical interpretation