In this paper, we propose the concept of a linguistic interval-valued Atanassov intuitionistic fuzzy set (LIVAIFS), whose membership and nonmembership degrees are represented by the interval-valued linguistic terms, for better dealing with imprecise and uncertain information during the decision-making process. In it, first some operational laws, score, and accuracy functions of LIVAIFS are defined with a brief study of related properties. Then, based on these operational laws, several aggregating operators are proposed to aggregate the linguistic interval-valued Atanassov intuitionistic fuzzy (LIVAIF) information. Some properties and inequalities are established to show the effectiveness and validity of proposed operators. Furthermore, a group decision making (GDM) approach, based on proposed operators, has been presented to solve the multiattribute GDM problems under LIVAIF environment. Finally, an illustrative example has been presented to demonstrate the approach.

中文翻译：

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语言区间值Atanassov直觉模糊集及其在群体决策问题中的应用


在本文中，我们提出了语言区间值阿塔纳索夫直觉模糊集（LIVAIFS）的概念，其隶属度和非隶属度由区间值语言项表示，以更好地处理决策过程中的不精确和不确定信息。过程。其中首先定义了LIVAIFS的一些运算法则、得分和准确度函数，并对相关性质进行了简要研究。然后，基于这些运算法则，提出了几种聚合算子来聚合语言区间值阿塔纳索夫直觉模糊（LIVAIF）信息。建立一些性质和不等式来显示所提出的算子的有效性和有效性。此外，提出了一种基于建议算子的群决策（GDM）方法来解决 LIVAIF 环境下的多属性 GDM 问题。最后，提供了一个说明性示例来演示该方法。