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Weighted Prioritization Models In The Fuzzy Analytic Hierarchy Process

Author

Listed:
  • LUDMIL MIKHAILOV

    (Manchester Business School, The University of Manchester, United Kingdom)

  • HOSEIN DIDEHKHANI

    (Science and Research Branch, Islamic Azad University, Tehran, Iran)

  • SOHEIL SADI-NEZHAD

    (Science and Research Branch, Islamic Azad University, Tehran, Iran)

Abstract

The paper deals with the group prioritization problem in the fuzzy analytic hierarchy process. We extend the fuzzy preference programming method to fuzzy group prioritization by introducing important weights of decision-makers (DMs). The modified prioritization problem is represented as a weighted fuzzy goal programming model. Additionally, we represent the uncertain DMs' importance weights as fuzzy numbers and modify the goal programming model by a possibilistic approach. Both proposed models transform the initial prioritization problems with fuzzy or crisp important weights into equivalent crisp linear programs. Unlike the known fuzzy prioritization methods, the proposed approach does not require an additional defuzzification procedure for final ranking of alternatives and can deal with incomplete set of comparison judgments.

Suggested Citation

  • Ludmil Mikhailov & Hosein Didehkhani & Soheil Sadi-Nezhad, 2011. "Weighted Prioritization Models In The Fuzzy Analytic Hierarchy Process," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 681-694.
    • Handle: RePEc:wsi:ijitdm:v:10:y:2011:i:04:n:s0219622011004518
    DOI: 10.1142/S0219622011004518
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    Cited by:

    1. Fabio De Felice & Laura Petrillo & Luigi Ranieri & Antonella Petrillo, 2019. "Previous Studies and Differences Between Lean Management and World Class Manufacturing," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1941-1966, November.

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