In traditional waste load allocation (WLA) decision making, water quality-related constraints must be satisfied. Fuzzy models, however, can be useful for policy makers to make the most reasonable decisions in an ambiguous environment, considering various surrounding environments. We developed a fuzzy WLA model that optimizes the satisfaction level by using fuzzy membership functions and minimizes the water quality management cost for policy decision makers considering given environmental and socioeconomic conditions. The fuzzy optimization problem was formulated using a max–min operator. The fuzzy WLA model was applied to the Yeongsan River basin, which is located in the southwestern part of the Korean Peninsula and Korean TMDLs were applied. The results of the fuzzy model show that the pollutant load reduction should be increased in the Gwangju 1 and Gwangju 2 wastewater treatment plants (WWTPs) and in subcatchments with high pollutant load. In particular, it is necessary to perform advanced wastewater treatment to decrease the load of 932 kg ultimate biochemical oxygen demand (BODu)/day in the large-capacity Gwangju 1 WWTP and reduce the BODu emission concentration from 4.3 to 2.7 mg/L during the low-flow season. The satisfaction level of the fuzzy model is a relatively high at 0.81.

中文翻译：

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具有总最大日负荷（TMDL）规划的河流废物负荷分配的模糊优化模型

在传统的废物负荷分配 (WLA) 决策中，必须满足与水质相关的约束条件。然而，考虑到各种周围环境，模糊模型对于决策者在模棱两可的环境中做出最合理的决策非常有用。我们开发了一个模糊 WLA 模型，该模型通过使用模糊隶属函数来优化满意度，并在考虑给定环境和社会经济条件的情况下最大限度地减少政策决策者的水质管理成本。模糊优化问题是使用最大-最小算子制定的。模糊 WLA 模型应用于位于朝鲜半岛西南部的永山河流域，并应用了韩国 TMDLs。模糊模型的结果表明，光州 1 和光州 2 污水处理厂 (WWTP) 和污染物负荷高的子汇水面积应增加污染物负荷减少量。尤其需要对大容量光州一期污水处理厂进行污水深度处理，以降低932kg极限生化需氧量（BODu）/天的负荷，并将BODu排放浓度从4.3降低到2.7mg/L。低流量季节。模糊模型的满意度较高，为 0.81。需要对大容量光州一期污水处理厂进行污水深度处理，以降低932 kg极限生化需氧量（BODu）/天的负荷，并将低流量期间BODu排放浓度从4.3降至2.7 mg/L季节。模糊模型的满意度较高，为 0.81。需要对大容量光州一期污水处理厂进行污水深度处理，以降低932 kg极限生化需氧量（BODu）/天的负荷，并将低流量期间BODu排放浓度从4.3降至2.7 mg/L季节。模糊模型的满意度较高，为 0.81。