The Intuitionistic Fuzzy Topsis Method in Decision Analysis and Experimental Anaysis on Distance Measures

Abstract

The purpose of this study is to extend the concept of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) for solving multiple attribute decision analysis problems with intuitionistic fuzzy data that expressed in the intuitionistic fuzzy sets to obtain another degree of hesitation. An experimental analysis was conducted to compare preference order by different separation measures that calculate the distance between the alternative and its positive-ideal and negative-ideal solutions. The consistency rate, the contradiction rate of the best alternative, the inversion rate between the better alternatives and worse ones, and average Spearman correlation coefficients are utilized to conduct a pairwise comparison for all separation measures. The results which are inclusive of 100 combinations of 10 different number of alternatives and attributes indicate that the preference orders are hardly identical using different separation measures in the intuitionistic fuzzy TOPSIS method.