Gray relational analysis method based on hesitant fuzzy linguistic term sets

The hesitant fuzzy linguistic term sets(HFLTSs) can be used to represent an expert's hesitant preferences when assessing the membership of an element. By integrating the strength of HFLTSs in dealing with uncertainty and vagueness and the merit of grey relation analysis in modeling multi-criteria decision making, a gray relevance analysis method based on HFLTSs is proposed in this paper. The solving procedure is as follows, (i) the weights of criteria are determined by the group decision making models based on AHP; (ii) using the weighted grey relational degree between the reference data sequence and optimal data sequence to result the ranking order for all alternatives; (iii) An illustrative example is provided to verify the proposed approach and to demonstrate its practicality and effectiveness.