An Improved Consistent Fuzzy Linguistic Preference Relation for Selection Problems

Abstract: In this paper we improvise the work of Wang & Chen (2006) that used fuzzy numbers in the computation of consistent fuzzy preference relation (CFPR). Using the Herrera-Viedma et al. (2004) approach, we incorporate the centroid-index formula in constructing the evaluation matrices with fuzzy number elements. This will transform the fuzzy numbers into crisp values. The number of pair-wise comparison of criteria is still in the order O(n-1) for any types of fuzzy number used. Furthermore centroid formula is also used to find the final ranking of alternatives. We found that this improvised technique can remarkably reduce the degree of computation in constructing the evaluation matrices based on consistent fuzzy preference relations besides enhancing Wang & Chen’s approach of ranking the alternatives. Using the example employed by Bozdag et al (2003), our proposed method involves lesser calculation compared to Wang & Chen (2006) while the result is consistent and practically can solve fuzzy decision making problems, especially for ranking of alternatives.