Multi-attribute Decision-making Method and Its Application of TOPSIS Based on Hesitant Fuzzy Set
Aiming at the problem of decision-making in uncertain language environments and considering different preferences of decision-makers,multi-attribute decision making method of TOPSIS based on hesitation fuzzy set is proposed.Firstly,the hesitation fuzzy language is used to cluster the evaluation information of decision-makers to more accurately express the hesitancy of decision-makers in the decision-making process.Secondly,based on the relevant theory of hesitation fuzzy,an improved hesitation fuzzy entropy weight method is proposed to determine the objective weights of attributes,and the improved structural entropy weight method is applied to determine the subjective weights of attributes.Then the final weights of attributes are determined after combining and optimizing the objective weights using the grade-difference maximization method,and the final weights of attributes are determined using the approximation,the evaluation objects are ranked by using the TOPSIS method.Finally,the validity and feasibility of the method are verified by optimizing the pile foundation scheme of a subway project.