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

摘要： 基于下标以零为中心对称的语言评估标度，将区间不确定二元语言集与区间直觉模糊集结合，提出区间直觉二元语言集及变量的概念；讨论区间直觉二元语言变量的运算及可能度；提出区间直觉二元语言加权算术平均算子、区间直觉二元语言有序加权平均算子，并在此基础上，通过可能度矩阵对区间直觉二元语言变量进行排序提出区间直觉二元语言混合加权平均算子；最后基于这些算子构建了一种新的直觉模糊多属性群决策方法，并将其运用于供应商选择过程中。

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