WEIGHTED PRIORITIZATION MODELS IN THE FUZZY ANALYTIC HIERARCHY PROCESS

Ludmil Mikhailov (), Hosein Didehkhani () and Soheil Sadi-Nezhad ()
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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

International Journal of Information Technology & Decision Making (IJITDM), 2011, vol. 10, issue 04, 681-694

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.

Keywords: Fuzzy AHP; fuzzy group prioritization; fuzzy decision-making; goal programming; fuzzy linear programming (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219622011004518

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