基于集对分析与三角模糊数耦合的地下水环境质量评价

A Coupling Model of Set Pair Analysis and Triangular Fuzzy Numbers for Evaluation of Groundwater Environmental Quality

针对受多种不确定性因素影响的地下水环境质量评价问题,提出评价指标与标准等级之间的六元联系度模型。用三角模糊数定量表示差异度不确定性系数连续变化过程,建立了集对分析与三角模糊数耦合的地下水环境质量评价模型。在用层次分析法确定各评价指标主观权重后,从属性差异度出发由粗糙集理论赋予客观权重,同时由博弈论集结模型优化组合主客观权重,通过计算以置信区间形式表示的加权联系数确定水质样本的等级标准。耦合模型相对综合指数法、灰色关联法和改进SPA模糊法灵敏度高,更能真实地反映出水体本身受污染的程度以及偏离水质分级标准的程度。实例研究结果表明:该模型方法思路清晰,过程直观,评价结果实效合理,具有较好的推广应用前景。

Based on the evaluation of groundwater environment quality affected by many uncertainties, a six-element connection num- ber model of evaluation index and grade criterions is proposed. Triangular fuzzy numbers indicate continuous variation of discrepancy degree uncertainty coefficients. A coupling model of set pair analysis and triangular fuzzy numbers is established in assessment of groundwater environmental quality. Subjective weights of evaluation indexes are determined by the Analytic Hierarchy Process Meth od, and objective weights are given as well according to the difference of index attribute based on the Rough Set Theory. The two categories of weights are further optimized by Game Theory Aggregation Model. The weighing connection number is calculated in the form of confidence interval to specify the level of water samples. Compared with Comprehensive Index Method, Grey Correlation Method and improved SPA--Fuzzy Method, with high sensitivity, the coupling model can reflect the degree of water pollution verita- bly and the deviation degree of water quality grading standard.