Group Decision-Making Method Under Hesitant Interval Neutrosophic Uncertain Linguistic Environment

Abstract

Motivated by the idea of interval neutrosophic uncertain linguistic sets and hesitant fuzzy sets, this paper proposed the concept of hesitant interval neutrosophic uncertain linguistic sets (HINULSs) and hesitant interval neutrosophic uncertain linguistic elements (HINULEs) and then proposed some basic operational rules, properties, the score, accuracy, and certainty functions for HINULEs. Further, based on these operational rules, we defined some aggregation operators, such as hesitant interval neutrosophic uncertain linguistic (HINUL) prioritized weighted averaging average (HINULPWA) operator, HINUL prioritized weighted geometric (HINULPWG) operator, and generalized HINUL prioritized weighted aggregation (GHINULPWA) operator to aggregate HINULSs, and some desired properties of these operators are investigated. A group decision-making method based on GHINULPWA operator is developed to handle multiple criteria group decision-making problems, in which criteria values take the form of HINULEs and there exist prioritized relations among the criteria. Finally, a numerical example about investment selections is given to show the advantages of the proposed method.