基于博弈论原理的PP-AHP权重优化模型在河流健康评价中的应用

Application of PP-AHP weight optimization model on river health evaluation based on game theory principle

为了解决传统层次分析法在指标权重赋值中主观意识影响过大导致河流健康评价结果具有较强主观随意性的问题,本文利用客观性较强的投影寻踪法来改进层次分析法,综合考虑主客观影响,通过博弈论原理对指标权重进行优化,并运用优化模型权重对扬州市城区三条城市河流进行了丰枯期健康评价。结果表明:优化后的权重能综合主、客观权重的特点,使评价结果更加合理;在进行权重优化的过程中,得到最优加权系数分别为0.5435、0.4565。为了简化权重处理步骤,同时选取0.5、0.5作为加权系数进行等权处理,该处理对评价结果影响较小,可为今后河流建康评价中的主客观权重耦合提供一定的参考。

In order to solve the problem that subjective consciousness would significantly affects the index weight assignment of traditional analytic hierarchy process resulting in a subjective and arbitrary evaluation result.In this paper,the projection pursuit method with strong objectivity is used to improve the analytic hierarchy process,which can comprehensively consider the subjective and objective influence.The index weight is optimized based on the principle of game theory,and the health evaluation of three urban rivers in Yangzhou City in wet and dry seasons is carried out by the optimization model weight.The results show that the optimized weight can synthesize the characteristics of the subjective and objective weights,making the evaluation results more reasonable;In the process of weight optimization,the optimization coefficients are 0.5435 and 0.4565,respectively.In order to simplify the weight processing steps,0.5 and 0.5 are selected as optimization coefficients for equal weight processing,which has little impact on the evaluation results,and can provide a certain reference for the coupling of subjective and objective weights in the evaluation of river health in the future.