Interval valued intuitionistic fuzzy weight techniques for TOPSIS method

The problems of our life can have many solutions (alternatives) and can be resolved based on different criteria (attributes). Thus, different weight methods exist on literature to accord an importance for each criteria. In this work TOPSIS, multi-criteria decision making (MCDM) method is presented using intuitionistic fuzzy data set with different techniques of weight proposed in literature. Therefore, interval-valued intuitionistic fuzzy TOPSIS (IVIF-TOPSIS) is applied on interval-valued intuitionistic fuzzy data set using methods of weights existing in literature. The latter are interval valued intuitionistic generalization of intuitionistic weights technique. We propose to extend the Standard Deviation (SD) and the preference selection index to interval-valued intuitionistic fuzzy sets for weight computation. Obtained results are compared to assess the impact of weight methods in the resolution of decision making problem.