A distance measure based intuitionistic triangular fuzzy multi-criteria group decision making method and its application

This paper aims to offer a group decision making (GDM) method based on intuitionistic triangular fuzzy information. Toward this end, a new ranking method for intuitionistic triangular fuzzy numbers (ITFNs) is firstly introduced based on the credibility measure theory, which can provide a total order on ITFNs. In view of the condition that interactions exist among the decision makers (DMs) or the criteria, the 2-additive Shapley intuitionistic triangular fuzzy aggregation (2ASITFA) operator is further proposed. According to the Wasserstein distance, a new distance measure of intuitionistic triangular fuzzy sets (ITFSs) is defined. Moreover, under the partial weak order information on the importance and interaction among the DMs and the criteria, the programming models are constructed to obtain the optimal 2-additive measure of the DMs and criteria respectively. Then, an intuitionistic triangular fuzzy multi-criteria GDM (ITFMCGDM) method is developed. At length, a practical example for evaluating the service quality of medical and nursing institutions (MNIs) is offered to illustrate the application of the proposed method.