Ranking of Alternatives in Multiple Attribute Group Decision Making: A Fuzzy Preference Relation Based Approach

Abstract

This paper presents a two phase approach for fuzzy multiple attributes group decision making based on fuzzy preference relations (FPR). In the first phase, incomplete fuzzy preference relations provided by the decision makers are completed based on the procedure proposed by Herrera-Viedma et al. (2007). Second phase focuses the selection of best alternative(s) among a set of alternatives based on average rating value and score of alternatives with respect to decision makers. Initially the average rating value of each decision maker with respect to the alternatives are calculated and sorted in descending order. Based on their sorting, suitable score values are assigned to them and then calculate the summation values of the scores of the alternatives with respect to each decision maker. When summations of scores are same, summation of average rating value for each expert on individual alternatives is calculated to rank those alternatives. Larger summation values of the scores gives better choice to the alternative. Finally, this approach is analyzed with a numerical example and the result is compared with the experiment executed by Herrera-Viedma et al. (2007).