title: Multicriteria decision-making approach with hesitant interval-valued intuitionistic fuzzy sets.
abstract: The definition of hesitant interval-valued intuitionistic fuzzy sets (HIVIFSs) is developed based on interval-valued intuitionistic fuzzy sets (IVIFSs) and hesitant fuzzy sets (HFSs). Then, some operations on HIVIFSs are introduced in detail, and their properties are further discussed. In addition, some hesitant interval-valued intuitionistic fuzzy number aggregation operators based on t-conorms and t-norms are proposed, which can be used to aggregate decision-makers' information in multicriteria decision-making (MCDM) problems. Some valuable proposals of these operators are studied. In particular, based on algebraic and Einstein t-conorms and t-norms, some hesitant interval-valued intuitionistic fuzzy algebraic aggregation operators and Einstein aggregation operators can be obtained, respectively. Furthermore, an approach of MCDM problems based on the proposed aggregation operators is given using hesitant interval-valued intuitionistic fuzzy information. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the developed approach, and the study is supported by a sensitivity analysis and a comparison analysis.
authors: School of Business, Central South University, Changsha 410083, China ; School of Economics and Management, Hubei University of Automotive Technology, Shiyan 442002, China.
authors: Juan-juan
authors: JJ
authors: Peng
authors: School of Business, Central South University, Changsha 410083, China.
authors: Jian-qiang
authors: JQ
authors: Wang
authors: School of Business, Central South University, Changsha 410083, China.
authors: Jing
authors: J
authors: Wang
authors: School of Business, Central South University, Changsha 410083, China.
authors: Xiao-hong
authors: XH
authors: Chen
mesh_terms: D000465:Algorithms; D003657:Decision Making; D008962:Models, Theoretical