Hesitant fuzzy preference relation based on α-normalization with self confidence in decision making

Preference relations are very useful to express decision makers' preferences over alternatives in the process of group decision-making. The multiple self confidence levels also exist in preference relations due to different knowledge levels, expertise, cultural and educational backgrounds of decision makers. In this study, the hesitant fuzzy preference relation with self confidence and hesitant multiplicative preference relation with self confidence are defined by taking multiple self confidence levels into consideration in the form of a linguistic term set. Latter on, priority weight vectors are derived from linear programming models, and then, to avoid heterogenous hesitant preference relation effects, a collective priority weight vector is derived by using ordered weighted average operator for group decision making. Finally, some practical case studies are done to illustrate the proposed model, and a comparative analysis is carried out to show how self confidence levels influence the group decision-making results.