The ELECTRE multicriteria analysis approach based on Atanassov’s intuitionistic fuzzy sets

In recent decades, intuitionistic fuzzy sets have been applied to many different fields; however, few current studies have used the ELECTRE method to solve multi-criteria decision-making problems with intuitionistic fuzzy information. The purpose of this paper is to develop a new method, the intuitionistic fuzzy ELECTRE method, for solving multi-criteria decision-making problems. Atanassov’s intuitionistic fuzzy set (A-IFS) characteristics are simultaneously concerned with the degree of membership, degree of non-membership, and intuitionistic index, and people can use A-IFS to describe uncertain situations in decision-making problems. We use the proposed method to rank all alternatives and determine the best alternative. The proposed method can also use imperfect or insufficient knowledge of data to deal with decision-making problems. Finally, two practical examples are given that illustrate the procedure of the proposed method.

► This paper develops anintuitionistic fuzzy ELECTRE method for solving multi-criteria decision-making problems. ► We use the concepts of score function, accuracy function, and intuitionistic index to construct concordance and discordance matrices. ► In the aggregate dominance matrix, distances of each alternative to both positive and negative idealsare usedfor ranking alternatives. ► The proposed method can use imperfect or insufficient knowledge of data to deal with decision-making problems.