A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the lambda-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.