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In group decision making (GDM) problems, the decision makers (DMs) often have their unique characteristics with regard to knowledge, skills, experience, and personality, which imply that different DMs have different preferences when providing their preferences over alternatives. We consider that the DMs constituting a group hesitate about several possible values. In such a case, HFSs are convenient and effective to be used to collect and present DMs’ preferences. For example, to the membership of x into the set A , assume the group of DMs provides some possible values as 0.3, 0.4 and 0.5 respectively, then we can use a HFE, h to collect them as h = {0.3,0.4,0.5}.
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