Projection-Based PROMETHEE Methods Based on Hesitant Fuzzy Linguistic Term Sets

This paper proposes two extended projection-based preference ranking organization methods for enrichment evaluations for multi-criteria decision making with hesitant fuzzy linguistic term sets (HFLTSs). We first utilize three linguistic scale functions to solve linguistic information transformation with differences in semantics. Correspondingly, we define projection and normalized projection measurements for HFLTSs. We then propose a projection-based difference measurement for HFLTSs while considering the risk appetite of decision-makers. The effectiveness and robustness of the proposals are demonstrated by their application to a practical example of green supply chain management problem, which is followed by sensitivity and comparative analyses. Finally, conclusions and future research directions are drawn.