Abstract:

Based on the definition of intuitionistic dual hesitant fuzzy sets, firstly, in combination with the standard distance measure formula, the Hamming distance measure formula and the Euclidean distance measure formula of the intuitionistic dual hesitant fuzzy sets are given. Secondly, the formulas and related properties of correlation coefficients and weighted correlation coefficients used to measure the correlation between two dual fuzzy information are given. Then, the definition of the entropy used to measure the ambiguity of the intuitionistic hesitant fuzzy sets is given, and the formula for calculating the entropy is given. Finally, a new multi-attribute group decision making method based on the distance measure, correlation coefficient and entropy of the intuitionistic dual hesitant fuzzy set is presented. The effectiveness of the method is illustrated by an example.

Key words: intuitionistic dual hesitant fuzzy sets, distance measure, correlation coefficient, entropy, multi-attribute group decision making

摘要：

基于直觉对偶犹豫模糊集的定义，结合标准距离测度公式，给出了直觉对偶犹豫模糊集的Hamming距离测度公式、Euclidean距离测度公式等。给出了用以度量两个对偶模糊信息之间相关关系的相关系数、加权相关系数的公式及其相关性质。给出了用以度量直觉对偶犹豫模糊集模糊性的熵的定义，并给出了熵的计算公式。基于直觉对偶犹豫模糊集的距离测度、相关系数、熵给出了一种新的直觉对偶犹豫模糊集的多属性群决策方法，并通过实例说明了该方法的有效性。

关键词: 直觉对偶犹豫模糊集, 距离测度, 相关系数, 熵, 多属性群决策