关键词: 区间直觉二元语言变量, 可能度, 集成算子, 多属性群决策

Abstract: In this paper, the notion of interval-valued intuitionistic 2-tuple linguistic set and variable are proposed by combining the interval-valued intuitionistic fuzzy sets and interval-valued uncertain 2-tuple linguistic sets, based on an evaluation scale of linguistic of subscript numbers characterized by zero as the center of symmetry; and then the operational laws and possibility degree of the interval-valued intuitionistic 2-tuple linguistic variable are discussed; furthermore, an interval-valued intuitionistic 2-tuple linguistic weighted arithmetic average operator and an interval-valued intuitionistic 2-tuple linguistic ordered weighted average operator are developed, after that, an interval-valued intuitionistic 2-tuple linguistic hybrid average operator is given by ranking the interval-valued intuitionistic 2-tuple linguistic variables using possibility degree; finally, a new approach to intuitionistic fuzzy multi-attribute group decision making is presented based on the proposed operators, and then applied to research on the selection of suppliers.

Key words: interval-valued intuitionistic 2-tuple linguistic variable, possibility degree, aggregation operator, multi-attribute group decision making