The Study On TOPSIS Based On Relative Efficiency

Technique for order preference by similarity to ideal solution(TOPSIS)is a traditional and new optimization method for solving multi-objective problem,which is generated with the production of multi-objective optimization and decision theory.At present,TOPSIS has been applied in many fields successfully.At the same time,various new methods of improvement have been developed,such as ideal solution proximity method,approximate TOPSIS,associated TOPSIS and so on.The research of TOPSIS has been relatively mature,but there is still room for improvement.The work of this paper is centered on the rationality of weight vector and the combination of TOPSIS and the participation of decision makers.Under the background of multi-objective problem,this paper proposes TOPSIS based on relative efficiency,which is an optimization method that combines the relative efficiency with the TOPSIS.It overcomes the difficulties brought by the incommensurability of each object and the subjectivity of the weight vector and integrates more willingness of the decision makers.The original data is replaced by the relative efficiency evaluation index of the distance between the program and the negative ideal solution.The participation of the decision makers and the calculation of the weight vector are interactive.The decision makers have a certain degree of participation;furthermore,the determination of the weight vector is objective.For solving multi-objective optimization and decision-making problems,decision-makers need to pick out a final decision from the Pareto optimal solution set.A two-stage TOPSIS containing multi-objective optimization and decision is presented in this paper.In the optimization stage,Pareto optimal solution set is obtained by using the TOPSIS based on relative efficiency.Decision-makers’ participation interacts with calculating weight vector in decision-making process,ensuring the objectivity of the weight vector and the degree of decision-makers’ participation;In the decision phase,sort of the Pareto optimal solutions is obtained by using TOPSIS based on the linear combination of subjective empowerment based on the analytic hierarchy process(AHP)and objective empowerment based on coefficient of variation,helping decision-makers complete the decision.