地下水水质评价的FA优化灰色关联投影寻踪模型  

Grey Relation-projection Pursuit Model for Assessment of Groundwater Quality Based on Firefly Algorithm

作　　者：巩奕成 张永祥[1] 丁飞[1] 高维春[1] 王昊[1] 郝静[3] 

机构地区：[1]北京工业大学建筑工程学院,水质科学与水环境恢复工程北京市重点实验室,北京100124 [2]俄亥俄州立大学地球科学学院,美国哥伦布43210 [3]中国水利水电科学研究院水资源研究所,北京100038

出　　处：《应用基础与工程科学学报》2015年第3期512-521,共10页Journal of Basic Science and Engineering

基　　金：国家科技支撑计划项目(2011BAC12B00);北京市教委科研基地项目(004000546612008)

摘　　要：为解决水质评价中的不相容性和模糊性等问题,在综合考虑从优隶属度和灰色关联的基础上,改进了灰色关联投影法(Grey Relation Projection Method,GRPM),将改进后的方法与投影寻踪(Projection Pursuit,PP)法相结合,提出了用于地下水水质综合评价的灰色关联投影寻踪模型.该模型把地下水水质综合评价作为一个灰色多目标决策问题,运用投影寻踪技术,构建了可以反映地下水水质状况的投影目标函数,引入萤火虫算法(Firefly Algorithm,FA)对投影目标函数进行优化,寻求灰色关联投影值的最佳投影方向,求得标准样本和评价样本的灰色关联投影值,实现了地下水水质综合评价.随机选取北京市2013年枯水期水样10例,运用该模型进行了水质综合评价,将其结果与综合评分法(F值法)结果进行比较,验证了该模型的有效性和可行性.实例应用表明,该模型评价结果可客观反映地下水水质状况,可为对比分析同一级别水质样本,分析水质变化趋势提供依据,使评价结果更趋于实际.The paper proposed a grey relation-projection pursuit model for assessment of groundwater quality. Grey correlation projection method（ GRPM） with preferential membership and grey correlation has been improved,and the improved grey correlation projection method was combined with projection pursuit（ PP） to present a grey relation-projection pursuit model which could be applied to evaluate the groundwater quality for incompatibility and fuzziness in assessment of water quality. The comprehensive assessment of groundwater quality was taken as a grey multiple objective decision making problem in the model,then with projection pursuit method,the projection objective function which could reflect groundwater quality was constructed,and Firefly Algorithm（ FA） was adopted to optimize the projection objective function for obtaining the best direction of projection of grey correlation projection value and evaluating the grey relation projection value of standard samples and evaluation samples,thus the groundwater quality could be assessed comprehensively. 10 random samples of dry season of Beijing（ 2013） were analyzed with this model. And a comparison of evaluation results from the model and ones from comprehensive evaluation method was made and the model has been proved of being feasible and effective. The application example showed that grey relationprojection pursuit model could be adopted in evaluating the groundwater quality for its objectiveness of reflecting the overall situation of groundwater quality. The model could be applied in analysis and comparison of water quality samples of same level and provided reference in analysis of deteriorating direction of water quality. The evaluation results will be more close to the reality.

关 键 词：灰色关联投影 投影寻踪 萤火虫算法 地下水水质评价 

分 类 号：X824[环境科学与工程—环境工程]