A fuzzy measure identification method by diamond pairwise comparisons: AHP scales and Grabish's graphical interpretation

Authors:
Eiichiro Takahagi
Affiliations:
School of Commerce, Senshu University, Kawasaki, Kanagawa, Japan
Venue:
KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
Year:
2007

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Abstract

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.