Some Issues on Hesitant Fuzzy Sets
نویسندگان
چکیده
Moreover, Zhu et al. [11], developed dual hesitant fuzzy sets (DHFSs) as a new extension of HFSs. The DHFS is a comprehensive set encompassing several existing fuzzy sets with certain conditions, whose membership and nonmembership are represented by a set of possible values respectively. In particular cases, DHFSs can reduce to some existing fuzzy sets, such as FSs, IFSs, HFSs and FMSs. From a mathematical point of view, DHFSs are also a particular case of T2FSs. DHFSs permit DMs consider as possible values for the membership a few different values, such as 0.1, 0.2 and 0.3 and for the nonmembership, such as 0.4, 0.5 and 0.6. So the uncertainty is somehow limited with all given memberships and nonmemberships. Under certain conditions, DHFSs encompass FSs, IFSs, HFSs and FMSs as special cases. Thus, DHFSs appear to be a more flexible method to be valued in multifold ways according to the practical demands than the existing fuzzy sets, taking much more information given by DMs into account.
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