关键词: 博弈论, 层次分析, 优选, 改进TOPSIS

Abstract: In order to solve the mining technical problems of ore stoping under the broken rock of a gold mine,based on the game theory and TOPSIS method,the comprehensive evaluation index system based on game theory and TOPSIS method is proposed,so as to conduct comprehensive evaluation of the four alternative mining methods.The comprehensive evaluation index system of mining method including the index from the aspects of technical,economical and safety is established,the comprehensive weight values of the indexes are obtained by using game theory based on the determination of subjective and objective weight values by using analytic hierarchy process and information entropy theory.In order to avoid the problem of taking euclidean distance as the calculation program to obtain the positive ideal solution of closeness to distinguish difficulty between the quality of schemes existed in traditional TOPSIS method,the traditional TOPSIS method is improved by replacement of euclidean distance with vertical surface distance and using orthogonal projection method to calculate the closeness of traditional TOPSIS method,the vertical surface solutions of the four alternative evaluation schemes to positive ideal solutions are calculated,the results show that d₁=0.114、d₂=0.072、d₃=0.016、d₄=0.045,which further indicated that the ultimate optimization mining method is pillar-less shallow hole shrinkage stoping with subsequent backfilling method.

Key words: Game theory, Analytic hierarchy process, Optimization, Improved TOPSIS