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

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