| 可变模糊理论与模糊粗糙集在地下水污染评估中的应用 |
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| 引用本文： | 马荣,石建省,刘继朝.可变模糊理论与模糊粗糙集在地下水污染评估中的应用[J].吉林大学学报(地球科学版),2012(4):1130-1138. |
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| 作者姓名： | 马荣 石建省 刘继朝 |
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| 作者单位： | 中国地质科学院水文地质环境地质研究所 |
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| 基金项目： | 国家“973”计划项目(2010CB428800) |
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| 摘 要： | 传统的地下水污染评估方法需检测多项地下水化学变量,成本较高且无法考虑水质指标区间量值的影响。为此,笔者利用可变模糊理论对地下水污染进行综合评估,在此基础上通过模糊粗糙集理论挖掘关键变量,并利用生成的最小决策规则库对样品点的污染综合指数进行预测。将该方法应用于洛阳盆地,对其有效性进行验证,计算结果表明:As、Hg、Se、I、NH3-N对研究区地下水污染分类起控制作用。通过与实测的13种化学变量所计算的地下水污染综合指数相比,测试数据中7组样品的相对误差为0.104 0～0.172 5;剩余15组样品的相对误差为0.001 5～0.093 7,基本满足地下水污染评估的要求。可变模糊集与模糊粗糙集理论能够通过较少的化学变量对污染综合指数进行预测,从而降低地下水污染评估成本,为后续的地下水污染控制与修复提供可靠的数据来源。
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| 关 键 词： | 地下水 化学变量 污染 模糊 误差 |
Application of Variable Fuzzy Set Theory and Fuzzy-Rough Set to Groundwater Pollution Assessment |
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| Ma Rong,Shi Jian-sheng,Liu Ji-chao.Application of Variable Fuzzy Set Theory and Fuzzy-Rough Set to Groundwater Pollution Assessment[J].Journal of Jilin Unviersity:Earth Science Edition,2012(4):1130-1138. |
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| Authors: | Ma Rong Shi Jian-sheng Liu Ji-chao |
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| Institution: | The Institute of Hydrogeology and Environmental Geology,Shijiazhuang 050061,China |
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| Abstract: | Many hydrochemical variables were required to test in tradition methods in order to assess groundwater pollution,the cost was higher.More importantly,these methods could not consider the effect of interval water quality target limit on synthesis assessment.A new method was introduced in this paper: first the variable fuzzy set theory was employed to assess groundwater pollution;and then application of fuzzy rough set to evacuate critical variable,the min-decision rules were used to forecast groundwater pollution synthesis index,which was yield by fuzzy-rough set.This method was applied in Luoyang basin to evaluate its validity,the result indicated: there were five hydrochemical variables(As,Hg,Se,I,NH3-N) played a controlled role in groundwater pollution classification.In testing data,7 groups of samples’ relative error was 0.104 0-0.172 5;the surplus 15 groups samples’ relative error was 0.001 5-0.093 7.Therefore,the groundwater pollution synthesis index could be predicted by variable fuzzy sets and fuzzy-rough set theory according to the above five hydrochemical variables,which could make the monitoring cost decrease and provide reliable data source for groundwater pollution control and remediation. |
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| Keywords: | groundwater hydrochemical variable pollution fuzzy errors |
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