Construction of Typical Hesitant Triangular Norms regarding Xu-Xia-partial Order

摘要

Fuzzy Sets theory has been applied in many fields to handle uncertainty, which can be reflected on the membership degree of the objects belonging to a set. Moreover, Hesitant Fuzzy Sets are useful whenever there is indecision among several possible values for the preferences over objects in the process of decision-making. In this sense, the aim of this work is to consider the notion of aggregation functions regarding Xu-Xia-partial order for typical hesitant fuzzy elements and to study Typical Hesitant Triangular Norms and some of the properties usually demanded to such operator.