Modified intuitionistic fuzzy SIR approach with an application to supplier selection

In this paper, we propose a modified fuzzy intuitionistic multiple attribute decision (MAD) method retaining basic framework of the superiority and inferiority ranking (SIR) method. We utilize relative comparisons based on the advantage and disadvantage scores of intuitionistic fuzzy (IF) numbers so that the modified SIR method is better adapted to treat real-world MAD problems. The relative comparisons of the IF values use all the three parameters, namely membership degree ("more the better"), non-membership degree ("less the better"), and hesitancy degree ("less the better") leading to trade-off values of the parameters. The modified IF-SIR flows, namely IF-superiority and IF-inferiority flows are calculated using the advantage and disadvantage score matrices, respectively, derived from the relative comparisons. These score matrices are based on positive contributions of all three parameters of the IF values, wherever applicable. The ranking of the alternatives is done using a consolidated score function derived from the modified IF-SIR flows. The methodology is validated through an application of a real-case of supplier selection problem.