Cloud Computing Products Selection Based on Shapley Value Weighted Correlation Coefficient of HFSs

In this paper, an approach to decision making under hesitant fuzzy environment is developed with incomplete weight information and inter-correlations between attributes. Firstly, when the elements in an attribute set are correlative, Shapley value weighted correlation coefficient of hesitant fuzzy sets are defined that the length of hesitant fuzzy elements and the arrangement of their possible values are not considered. Secondly, the model for the optimal fuzzy measure on an attribute set is built when the weight information of attributes is partly known. Finally, to verify the practicality and feasibility of approach in this paper, the cloud computing products are evaluated.