关键词: 对偶犹豫模糊集, 相关系数, 熵, 多属性群决策

Abstract: Dual hesitant fuzzy set has become a hot issue in fuzzy decision making problem as a result of providing more decision information for decision makers. The correlation index can be used to measure the relationship between two fuzzy information, and entropy is a measurement of the degree of uncertainty for fuzzy information. This paper presents a fuzzy multiple attribute group decision making method based on the dual hesitant fuzzy correlation coefficient and entropy. The definition of the dual hesitant fuzzy correlation coefficient is proposed. It discusses some basic properties. Two kinds of entropy for dual hesitant fuzzy set are put forward, based on which, it presents the method of determining weight for fuzzy multiple attribute group decision making. On the basis of the dual hesitant fuzzy set correlation coefficient and entropy, a new method for dual hesitant fuzzy multi-attribute group decision making problem with completely unknown attribute weight information is proposed. It demonstrates that the method is practically and effective through an analysis of a case.

Key words: dual hesitant fuzzy set, correlation coefficient, entropy, multiple attribute group decision making