Extension of the TOPSIS Method for Decision-making Problem Under Dual Hesitant Fuzzy Language Environment

In order to comprehensively and actually describe the evaluation process, the dual hesitant fuzzy linguistic (DHFL) set is introduced in this paper, which includes more decision-making information, such as fuzzy state, hesitant process and language information. Specifically, some basic concepts of DHFL set are illustrated and a new distance measure for DHFL information is proposed, which is suitable for overcoming the irrational traditional methodology upon the general distance measure and basic probability concepts. Then, technique for order preference by similarity to ideal solution (TOPSIS) method is extended in dual hesitant fuzzy language environment, a novel TOPSIS method using the DHFL set is presented. Finally, the sensitivity analysis is performed to verify the feasibility and stability of the developed method, then the advantages of the proposed method are also confirmed by detailed comparative analysis.