The impact of criterion weights techniques in TOPSIS method of multi-criteria decision making in crisp and intuitionistic fuzzy domains

Abstract

In MCDM problems some criteria (attributes) having different importance are used to determine a best alternative from many. Thus, different weight methods exist in literature to evaluate the importance of each criteria. In this work TOPSIS, multi-criteria decision making (MCDM) method is applied using crisp data set with different techniques of weight proposed in literature. Therefore, intuitionistic fuzzy TOPSIS is applied on intuitionistic fuzzy data set (IFS) using methods of weights existing in literature. The latter are intuitionistic generalization of crisp weights. We propose to extend two methods of weight computation, the Standard Deviation (SD) and the preference selection index (PSI) to intuitionistic fuzzy sets. Obtained results are compared to assess the impact of methods of weight in the result of decision making methods.