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A fuzzy measure identification method by diamond pairwise comparisons and \({\phi_s}\) transformation

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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 using the agglomerative hierarchical clustering method. From the diagram, to identify the fuzzy measure, \({\phi_s}\) conversion method is proposed.

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  1. Senshu University, Kawasaki, Kanagawa, Japan

    Eiichiro Takahagi

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  1. Eiichiro Takahagi
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Correspondence to Eiichiro Takahagi.

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Takahagi, E. A fuzzy measure identification method by diamond pairwise comparisons and \({\phi_s}\) transformation. Fuzzy Optim Decis Making 7, 219–232 (2008). https://doi.org/10.1007/s10700-008-9032-3

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  • DOI: https://doi.org/10.1007/s10700-008-9032-3

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