An optimization framework towards prioritization in fuzzy comparison matrices

Authors:
S. A. Torabi;H. Rafiei
Affiliations:
Department of Industrial Engineering, College of Engineering, University of Tehran, Kargar-e-shomali Street, P.O. Box 11155-4563, Tehran, Iran;Department of Industrial Engineering, College of Engineering, University of Tehran, Kargar-e-shomali Street, P.O. Box 11155-4563, Tehran, Iran
Venue:
Expert Systems with Applications: An International Journal
Year:
2012

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Abstract

Prioritization or eliciting final weights from the pairwise comparison matrices might be a major part of some Multiple Criteria Decision Analysis (MCDA) methods which are based upon these matrices. However, in a fuzzy environment, two other issues, i.e., consistency and reciprocity, are also arisen in such matrices with at least one fuzzy component. In this paper, a single-decision-making optimization model along with two group-decision-making optimization models are developed towards prioritization in fuzzy pairwise comparison matrices. A comprehensive numerical analysis is performed to validate the proposed models. Finally, some conclusions are reported.