A Method to Solve Group Decision-Making Problem with Multi-granularity Linguistic Assessment Information

The purpose of this paper is to study group decision-making problem with multi-granularity linguistic assessment information. Presently, decision-making methods based on linguistic assessment information are massed in single-granularity linguistic assessment information. Owing to the different cultural and educational backgrounds of experts, multi-granularity linguistic assessment information is provided by different experts, methods for group decision-making with single-granularity linguistic assessment information are inadequate in real-life situation. In this paper the rating of each alternative and the weight of each criterion are described by multi-granularity linguistic assessment information which can expressed in triangular fuzzy numbers. According to the distance of two triangular fuzzy number matrixes, a closeness coefficient is defined to determine the ranking orders of all alternatives by calculating the distances to both the positive-ideal matrix and the negative-ideal matrix simultaneously. Finally, an example is shown to highlight the procedure of the proposed method at the end of this paper.