关键词: 区间值对偶犹豫模糊集, 相关系数, 权重, 多属性群决策

Abstract: 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.

Key words: interval-valued dual hesitant fuzzy set, correlation coefficient, weight, multiple attribute group decision making