Using Social Choice Function for Multi Criteria Decision Making Problems

Abstract

Many social choice preference functions or aggregation techniques, such as Borda, Copeland, Dodgson, Kemeny, are employed to obtain integrated solutions in multi-criteria decision problems. On the other hand, the number of studies comparing these techniques in the context of aggregation procedures in multi-criteria decision problems is limited. Furthermore, the advantages and disadvantages of the techniques have not been adequately discussed. In this context, the applicability of Borda, Copeland Dodgson, and Kemeny techniques in solving multi-criteria decision problems was investigated in this study. Analyses were performed on 500,000 samples containing various alternatives and sequences produced using the R software. The Kendall W test was used to assess the compatibility of the aggregation techniques. As a result, as the number of alternatives in the problem increases, the examined techniques produce an incomplete ranking. The features of the new aggregation technique to be developed were also determined in the context of the obtained results.