Weighted prioritization models in the fuzzy analytic hierarchy process

Ludmil Mikhailov, Hosein Didehkhani, Soheil Sadi-Nezhad

Research output: Contribution to journalArticlepeer-review


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. © 2011 World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)681-694
Number of pages13
JournalInternational Journal of Information Technology and Decision Making
Issue number4
Publication statusPublished - Jul 2011


  • Fuzzy AHP
  • fuzzy decision-making
  • fuzzy group prioritization
  • fuzzy linear programming
  • goal programming


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