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中文摘要：
区间值对偶犹豫模糊集因其可能隶属度与可能非隶属度均采用区间的形式而更具有一般性,因而得到广泛的应用。相关系数可以用来度量两个模糊信息之间的相关关系。基于区间值对偶犹豫模糊集相关系数提出了一种新的多属性群决策方法。在对偶犹豫模糊集的基础上给出了区间值对偶犹豫模糊集的定义及其基本运算;给出了区间值对偶犹豫模糊集的相关系数的定义及相应的计算公式;构造了确定权重的优化模型;基于区间值对偶犹豫模糊集的相关系数和确定权重的优化模型,提出一种属性权重部分未知的模糊多属性群决策方法,并通过实例说明该方法的有效性和可行性。
英文摘要：
Interval-valued dual hesitant fuzzy set has received widely application as a result of its possible membership and possible non-membership are interval-values. The correlation coefficient can be used to measure the relationship between two fuzzy information. Based on the interval-valued dual hesitant fuzzy correlation coefficient, this paper presents a new fuzzy multiple attribute group decision making method. Firstly, the definition of the interval-valued dual hesitant fuzzy is proposed on the basis of the definition of the dual hesitant fuzzy, then some basic operation laws of it are discussed.It is presented the definition of the interval-valued dual hesitant fuzzy correlation coefficient. The optimal model is contructed for determining the weight vector. Finally, on the basis of the interval-valued dual hesitant fuzzy set correlation coefficient and optimal model, a new method for interval-valued dual hesitant fuzzy multi-attribute group decision making problem with incompletely known attribute weight information is proposed and it is demonstrated that the method is practically and effective through an analysis of a case.
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