Consensus analysis and extended prospect theory-based intuitionistic triangular fuzzy multi-criteria group decision-making method

This paper aims to provide a me thod for solving multi-criteria group decision making problems with the ev aluation information in the type of intuitionistic triangular fuzzy number s (ITFNs). To this end, a new score function of ITFNs is proposed. In order to depict the similarity between two intuitionistic triangular fuzzy sets (IT FSs), the cosine similarity measure of ITFSs is defined. Based on the similarity measure, the consensus measures on three levels are defined, and a programming model-based approach is introduced to deal with situations where the group consensus level dose not reach the given threshold. By transforming the reference points of classical prospect theory (PT) into reference in tervals, a method combining extended PT and PROMETHEE is presented to obtain the ranking results of alternatives. Then, an intuitionistic triangular fuzzy multi-criteria GDM (ITFMCGDM) method is developed. Finally, an example is given to illustra te the feasibility and effectiveness of the proposed method.