Fuzzy Measures and Fuzzy-set Concurrent Rating Methods : Proposal of Inverse φ_s Transformation Method and Comparisons among Fuzzy-set Concurrent RatingMethods

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  • ファジィ測度とFCR法 : 逆φ_s変換法の提案と各FCR法の比較(<特集>ソフトサイエンス)
  • ファジィ測度とFCR法--逆φs変換法の提案と各FCR法の比較
  • ファジィ ソクド ト FCRホウ ギャクファイ s ヘンカンホウ ノ テイアン ト カク FCRホウ ノ ヒカク

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FCR-methods (Fuzzy-set Concurrent Rating Methods) are integration methods of the true value (α) and the false value (β) without the constraint α + β = 1. The property α + β ≠ 1 corresponds to the non-additively of fuzzy measures and we research the properties of FCR methods using fuzzy measure theory's view. Some FCR methods correspond to one of the λ fuzzy measure identification method and we propose the inverse φ_s transformation method which corresponds to the λ fuzzy measure identification method using φ_s transformation. Next, we research the properties of FCR methods such as monotonicity, continuity, duality and so on. Lastly, we propose the inverse FCR-method which calculates the α and β value from the integrated value of FCR-method and the Contradiction-Indifference index.

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