Advances in Operations Research
Volume 2012 (2012), Article ID 574710, 17 pages
Research Article

Deriving Weights of Criteria from Inconsistent Fuzzy Comparison Matrices by Using the Nearest Weighted Interval Approximation

Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran

Received 2 March 2012; Accepted 25 April 2012

Academic Editor: Yi Kuei Lin

Copyright © 2012 Mohammad Izadikhah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Deriving the weights of criteria from the pairwise comparison matrix with fuzzy elements is investigated. In the proposed method we first convert each element of the fuzzy comparison matrix into the nearest weighted interval approximation one. Then by using the goal programming method we derive the weights of criteria. The presented method is able to find weights of fuzzy pairwise comparison matrices in any form. We compare the results of the presented method with some of the existing methods. The approach is illustrated by some numerical examples.