基于语言Choquet积分算子的多属性群决策方法

在现实的多属性群决策问题中，决策属性及专家偏好间均在不同程度上存在相互关联。为此，提出了一种基于语言Choquet积分算子的语言多属性群决策方法。首先,介绍了语言评估标度集上的一些运算法则。基于这些运算法则和模糊测度，定义了一种语言Choquet积分算子。然后,探讨该算子的一些性质，给出了一种基于语言Choquet积分算子的语言多属性群决策途径。研究表明，该算子是语言有序权重平均算子的一般化形式。最后,通过一个具体实例来说明这种方法的具体应用及计算过程。

Multi-attribute group decision making based on linguistic Choquet integral operator

In the real multi-attribute group decision making problems, there exists interactions phenomena among the decision making attributes and preference of experts. A linguistic Choquet integral operator is investigated for multiple attribute group decision making. Some operational laws on linguistic evaluation scale are  introduced. Based on these operational laws and fuzzy measures, a linguistic Choquet integral operator is presented. And then its some properties are analyzed. It is pointed that the linguistic Choquet integral operator is the generalization of the linguistic OWA operator. Finally, the linguistic Choquet integral operator is applied to dealing with linguistic multi-attribute decision making problems. The process of calculation of the developed approaches and its feasibility and practicality are demonstrated by an illustrative example.