A fuzzy multi-criteria group decision making method by combining of SWARA method and single-valued neutrosophic TOPSIS method

Abstract

Abstract Relatively recently, the proposed Step-wise Weight Assessment Ratio Analysis (SWARA) method is widely used as a subjective criterion weighting method due to its intuition in understanding and computational simplicity. On the other hand, TOPSIS is one of the most widely used MCDM methods and is constantly expanding towards decision-making problems in different fuzzy. As a special case of neutrosophic set-NS, a single valued neutrosophic set-SVNS has been proposed as a generalization of different fuzzy sets, including fuzzy sets, intuitionistic fuzzy sets, Pythagoras fuzzy sets, and Fermat sets. In a single valued neutrosophic set, the realistically ambiguous and uncertain phenomena are represented by three independent aspects: the truth-membership degree, the indeterminacy-membership degree and the falsity- membership degree. In this paper, we propose a method to implement fuzzy MCDM by combining the Step-wise Weight Assessment Ratio Analysis method and the single valued neutrosophic TOPSIS method. The weighting of experts participating in group decision making and the importance weighting of criteria is done using a Step-wise Weight Assessment Ratio Analysis method, and a s single valued neutrosophic TOPSIS method is used to evaluate alternatives with respect to different criteria and to select the most appropriate alternatives. The new method proposed in this paper is validated through its application to the priority decision problem of scientific research projects.