Sensitivity analysis for scaling constants of multiplicative multiattribute utility functions

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  • 乗法型多属性効用関数のスケール定数に関する感度分析
  • ジョウホウガタ タゾクセイ コウヨウ カンスウ ノ スケール テイスウ ニ カンスル カンド ブンセキ

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A multiattribute utility function can be represented by a function of single-attribute utility functions if the decision maker's preference satisfies additive independence or mutually utility independence. Additive independence is a preference condition stronger than mutually utility independence. The multiattribute utility function is represented in the additive form if the former is satisfied and it is in the multiplicative form if the latter is satisfied. In this paper, we present methods for sensitivity analysis of multiattribute utility functions in the multiplicative form and also propose methods incorporating fuzziness of the decision maker's judgments in the procedures for assessing scaling constants (attribute weights).

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