Abstract:In view of solving the multi-stage triangular fuzzy number bilateral matching decision problem, a multi-stage matching decision method has thus been proposed based on the new distance measure and TODIM method. Firstly, a new distance measure of triangular fuzzy numbers is adopted aimed at the shortcomings of the current distance measure of triangular fuzzy numbers. Secondly, the mathematical description has been made of the multi-stage lateral matching decision making problem with the unknown stage attribute weight and unknown stage time weight provided. Thirdly, the profit and loss matrices between the desired level and evaluation information can be obtained by calculating the new distance measure of triangular fuzzy numbers, followed by a construction of an optimization model by using the triangle fuzzy number comprehensive entropy, thus working out the stage attribute weights; the stage time weights are calculated by using attenuation method, with the comprehensive dominance matrices developed adopting the TODIM method, and with the satisfaction matrices built using the range variation method. Furthermore, a bilateral matching model is constructed by maximizing satisfaction degrees with the match results obtained by solving this model. Finally, the feasibility and effectiveness of the proposed matching decision method can be verified by taking the investment of venture capitalists and enterprises as an example.