关键词: 犹豫语言判断矩阵, 加性一致性, 一致性指数, 决策方法, 数据产品

Abstract: As a new judgment matrix, the Hesitant Linguistic Judgment Matrix（HLJM） can efficiently address decision making problems in which the decision making information is linguistic variable and decision makers are hesitant. For the data products selection problem under the hesitant fuzzy linguistic information environment, a novel selection method of data products based on the HLJM is investigated. Firstly, some concepts of HLJM are introduced, including additive consistency, consistency index and acceptable consistency. Then, the determination conditions of additive consistent HLJM and the constructed method of characteristic matrix are studied. In addition, a convergent algorithm is proposed to improve the consistency of HLJM. Finally, a decision making model is put forward on the basis of the HLJM. A numerical example to selection of data products is provided to demonstrate that the proposed method is both rationality and effectiveness.

Key words: Hesitant Linguistic Judgment Matrix（HLJM）, additive consistency, consistency index, decision making method, data products