A Projection-Based Outranking Method with Multi-Hesitant Fuzzy Linguistic Term Sets for Hotel Location Selection

Keen competition drives hotel companies to enhance their position. One way to do this is to select a proper hotel location. However, hotel location selection is a complex problem. This study establishes a multi-criteria hotel location selection method. In this method, cognitive information is depicted by multi-hesitant fuzzy linguistic term sets (MHFLTSs). Moreover, the method considers the non-compensation of criteria. It introduces the elimination and choice translating reality (ELECTRE) method. Notably, the method utilizes projection to define concordance and discordance indices. A case study and comparative study are performed in this study. They exhibit the feasibility of the method. Results of the studies show that the method can solve such problems, and they reveal the method’s advantages. One theoretical contribution lies in the characterization of cognitive information. MHFLTSs can handle vacillation of decision-makers caused by their complex cognition, and they express both conformity and divergence of opinions during cognitive processes. Our method has the advantages of the ELECTRE method. In addition, the ELECTRE method is improved by introducing the projection. The proposed method is promising in hotel location selection. Moreover, it is a potential option to address cognitive computation.