查看文章

Hesitant fuzzy set (HFS) is now attracting more and more scholars’ attention due to its efficiency in representing comprehensively uncertain and vague information. Considering that correlation coefficient is one of the most widely used indices in data analysis, in this paper, after pointing out the weakness of the existing correlation coefficients between HFSs, we propose a novel correlation coefficient formulation to measure the relationship between two HFSs. As a departure, some new concepts, such as the mean of a hesitant fuzzy element (HFE), the hesitant degree of a HFE, the mean of a HFS, the variance of a HFS and the correlation between two HFSs are defined. Based on these concepts, a novel correlation coefficient formulation between two HFSs is developed. Afterwards, the upper and lower bounds of the correlation coefficient are defined. A theorem is given to determine these two bounds. It is stated that …