Interval linguistic preference relation is an effective tool for expressing experts’ preference in group decision making under uncertain linguistic environment. A new aggregation operator called continuous chi-square deviation based 2-tuple linguistic ordered weighted quasi-averaging (C-CDLOWQ) operator is proposed to transform the interval linguistic preference relations into precise linguistic preference relations. Some desirable properties and special cases of the C-CDLOWQ operator are analyzed in detail. To take the interactive phenomenon among experts into account, the Shapley weighting vector is presented to integrate the expected linguistic preference relations. The λ-fuzzy measure is employed to simplify the fuzzy measure on expert set. A CS-GDM algorithm is developed to group decision making with interval linguistic preference relations. The application in commercial investment problem is provided to illustrate the effectiveness of CS-GDM algorithm.

中文翻译：

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基于连续最优聚合算子和Shapley值的群决策新算法

区间语言偏好关系是表达专家在不确定语言环境下群体决策偏好的有效工具。提出了一种新的聚合算子，称为基于连续卡方偏差的二元语言有序加权准平均（C-CDLOWQ）算子，将区间语言偏好关系转换为精确的语言偏好关系。详细分析了C-CDLOWQ算子的一些理想性质和特殊情况。考虑到专家之间的交互现象，提出了 Shapley 加权向量来整合预期的语言偏好关系。λ-模糊测度用于简化专家集上的模糊测度。开发了一种 CS-GDM 算法来使用区间语言偏好关系进行分组决策。