三角模糊数的联系数在环境质量评价中的应用

The Connection Number Based on the Triangular Fuzzy Number and Its Application to Evaluation of Environmental Quality

在五元联系数表达式中,采用分析取值法得到的系数生成了一组序列:1、0.5、0、-0.5、-1,且在[-1,1]上是连续的。对"异"系数而言,存在最小值、最可能值和最大值,可以构造系数的三角模糊数A,据此可以得出基于三角模糊数A的α-截集的联系数。在城市环境质量评价的应用结果表明:该方法可以给出具体评价等级,并且得到的等级为一置信区间;评价结果更符合实际,在环境质量评价中具有推广应用价值。

In the expression formula of five-element connection number, the coefficients of connection by analysis technique form a group of sequences： 1, 0.5, 0, -0.5, -1, which are continuous in the range of [-1, 1]. For the connection coefficient of discrepancy, there are the minimum values, the optimum value and the maximum value, which can construct the triangle fuzzy number . Further, we can establish the connection number based on the triangular fuzzy intervals under cut set. The results of application to urban evaluation of environmental quality showed that this method not only presents the concrete rank of evaluating indicator, but also found that the evaluating rank is a confidence interval. So the evaluation results by the model are more coincident with practical situation, and the method is worth of being generalized in urban evaluation of environmental quality.