基于博弈论的主客观组合权重TOPSIS采矿方法优选

Optimization of Mining Method with Subjective and Objective Combination Weight TOPSIS Based on Game Theory

针对当前采矿方法优选过程中,权重计算时主观权重信息丢失较多且占比过大的问题,将主客观权重相结合,计算出综合权重,并运用于采矿方法优选体系。首先,利用模糊扩展层次分析法(FEAHP)计算主观权重,最大程度地保存主观信息;然后,利用CRITIC客观赋权法计算客观权重,并运用博弈论原理将主客观权重相结合,得到综合权重;最后,结合逼近理想解的排序方法(TOPSIS),建立基于博弈论的主客观组合权重TOPSIS采矿方法优选模型。将所建立的基于博弈论的主客观组合权重TOPSIS采矿方法优选模型运用于工程实例中,对姑山露天铁矿驻留矿体的采矿方法进行优选,计算出4种备选方案(上向进路胶结充填法、浅孔留矿嗣后充填法、上向水平分层充填法和下向水平分层充填法)的相对贴近度分别为0.4547、0.4441、0.5872和0.4072,得出上向水平分层充填法为最优方案。研究结果与矿山工程实例相符,证明基于博弈论组合的主客观权重值比以往单一的赋权法得到的权重值更加合理,建立的模型更科学。

In the current optimization of mining methods,subjective components lead to more information loss,and the relative importance of evaluation indicators is unreasonable.This paper fully considered the results of the combination of comprehensive degree analysis method and fuzzy analytic hierarchy process-fuzzy extended analytic hierarchy process(FEAHP)and objective weight method CRITIC,used FEAHP to determine the subjective weight of each index in the optimization system of mining method.CRITIC algorithm was used to calculate the conflict between various indicators,so as to calculate the objective weight.Then,the principles of game theory was used to compromise the subjective and objective weights,and find their consistency to obtain a reasonable combination weight.Finally,combined with the real data of the alternatives,the distance between the four alternatives and the positive and negative ideal solutions is obtained by the distance measurement method in TOPSIS,and the relative patching progress of the four alternatives was calculated.The options of the upward approach cement filling method(Scheme 1),the shallow hole retention and subsequent filling method(Scheme 2),the upward horizontal layered filling method(Scheme 3)and the downward horizontal layered filling method(Scheme 4).The relative patching progress of the four alternatives are 0.4547,0.4441,0.5872,0.4072 respectively.It is concluded that the third scheme(upward horizontal stratified filling method)is the best,and the relative paste progress of 0.5872 also fully demonstrates that the upward horizontal stratified filling method has formed a strong contrast with the other three schemes,showing that the scheme meets the requirements of modern mining engineering for safety,low cost,and high profit,highlights its own advantages,and is consistent with mine examples and other experts’research,indicating that the model is scientific and effective for mining optimization.