A Fuzzy Measure Identification Method by Diamond Pairwise Comparisons: AHP Scales and Grabish's Graphical Interpretation

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 and the fuzzy measure of the diagram. In this paper, we compare the two interpretations of the diamond, AHP scales and Grabish's graphical interpretation.