Fuzzy decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and hesitant fuzzy linguistic operators

In this paper, we propose a new fuzzy decision making method and propose a new fuzzy group decision making method based on the proposed likelihood-based comparison relations of hesitant fuzzy linguistic term sets and the proposed hesitant fuzzy linguistic weighted average (HFLWA) operator, the proposed hesitant fuzzy linguistic weighted geometric (HFLWG) operator, the proposed hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator, and the proposed hesitant fuzzy linguistic ordered weighted geometric (HFLOWG) operator of hesitant fuzzy linguistic term sets. The proposed fuzzy decision making method can overcome the drawback of Rodriguez et al.’s method (2012) and Wei et al.’s method (2014) for fuzzy decision making, which cannot distinguish the preference order of alternatives in some situations. The proposed fuzzy group decision making method is more flexible than Rodriguez et al.’s method (2013) for fuzzy group decision making because it considers different hesitant fuzzy linguistic operators for fuzzy group decision making. The proposed methods provide us with a useful way for decision making in fuzzy environments.