Multi-criteria decision-making methods based on intuitionistic fuzzy sets

• DOI: 10.1016/j.ejor.2006.04.009
• Publication Date: 2006-06-07T02:55:54Z
• Authors: Hua-Wen Liu; Guo-Jun Wang
• Keywords: Score; Decision maker; Group Decision Making

Abstract In this paper we present new methods for solving multi-criteria decision-making problem in an intuitionistic fuzzy environment. First, we define an evaluation function for the decision-making problem to measure the degrees to which alternatives satisfy and do not satisfy the decision-maker’s requirement. Then, we introduce and discuss the concept of intuitionistic fuzzy point operators. By using the intuitionistic fuzzy point operators, we can reduce the degree of uncertainty of the elements in a universe corresponding to an intuitionistic fuzzy set. Furthermore, a series of new score functions are defined for multi-criteria decision-making problem based on the intuitionistic fuzzy point operators and the evaluation function and their effectiveness and advantage are illustrated by examples.