对偶犹豫模糊集的相关系数及其应用

摘要

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.%对偶犹豫模糊集因其可以给决策者提供更多的决策信息成为模糊决策的热点研究问题，相关性指标可以用来度量两个模糊信息之间的相关关系，熵可以用来度量模糊信息的不确定程度。提出了一种基于对偶犹豫模糊集相关系数和熵的模糊多属性群决策方法。定义了对偶犹豫模糊集相关系数的概念，讨论了其基本性质；提出了两种对偶犹豫模糊集的熵，在此基础上，给出了模糊多属性群决策的权重确定方法；基于对偶犹豫模糊集相关系数和熵，提出了一种属性权重完全未知条件下的模糊多属性群决策方法；通过案例分析说明了该方法的有效性和可行性。