Abstract
An intuitionistic hesitant fuzzy set (IHFS) consists of hesitancy function intuitionistic fuzzy elements, which consists the membership degree and the non membership degree, supporting a more exemplary and flexible access to assign values for each element in the domain, and can handle this kind of hesitancy in this situation. It can be seen as a powerful tool to express uncertain information in the process of group recommendation. Therefore, we propose a correlation coefficient between IHFSs as a further extension of existing correlation coefficients for hesitant fuzzy sets and intuitionistic fuzzy sets and apply it to group recommendation under intuitionistic hesitant fuzzy environments. Through the weighted correlation coefficient between each item and the ideal item, the ranking order of all items can be identified and the best item can be easily identified as well. Finally, a practical example of a movie recommendation is given to demonstrate the practicality and effectiveness of the developed approach.
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