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Interval Weights In Ahp By Linear And Quadratic Programming

Author

Listed:
  • Entani, T.

    (Kochi University)

  • Sugihara, K.

    (Fukui University of Technology)

  • Tanaka, H.

    (Hiroshima International University)

Abstract

Analytic hierarchy process (AHP) is proposed to give priority weights with respect to many items. The priority weights are obtained from the comparison matrix whose elements are given by a decision maker as crisp numbers. We assume that the item's weights are intervals, because a comparison matrix based on human intuition must be inconsistent. Three models depending on the objective functions are proposed in this paper. In each model, the interval weights are determined so as to include the given comparisons. This concept is similar to the upper approximation in interval regression analysis

Suggested Citation

  • Entani, T. & Sugihara, K. & Tanaka, H., 2005. "Interval Weights In Ahp By Linear And Quadratic Programming," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(2), pages 3-11, November.
    • Handle: RePEc:fzy:fuzeco:v:x:y:2005:i:2:p:3-11
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    More about this item

    Keywords

    Analytic hierarchy process; interval weights; inclusion relation;
    All these keywords.

    JEL classification:

    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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