Group decision-making based on pythagorean fuzzy TOPSIS method

Group decision-making is a process wherein multiple individuals interact simultaneously, analyze problems, evaluate the possible available alternatives, characterized by multiple conflicting criteria, and choose suitable alternative solution to the problem. Technique for establishing order preference by similarity to the ideal solution (TOPSIS) is a well-known method for multiple-criteria decision-making. The purpose of this study is to extend the TOPSIS method to solve multicriteria group decision-making problems equipped with Pythagorean fuzzy data, in which the assessment information on feasible alternatives, provided by the experts, is presented as Pythagorean fuzzy decision matrices having each entry characterized by Pythagorean fuzzy numbers. A revised closeness index is utilized to obtain the ranking of alternatives and to identify the optimal alternative. The developed Pythagorean fuzzy TOPSIS (PF-TOPSIS) is illustrated by a flow chart. At length, practical examples interpreting the applicability of our proposed PF-TOPSIS are solved.