Fuzzy synthetic evaluation of atmospheric environment quality based on entropy weight

H. Dai, Chenghua Shi, Xiaojing Zhou
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Abstract

Considering the difficulties of calculation and the defects that the relationship among evaluation objects are ignored when using Fuzzy synthetic Evaluation Method to determine weights to the multi-factors, this paper put forward a new idea of determining weights to the Multi-objective evaluation factors useing information entropy. The differences of determining weights using Entropy method and the method of over standard with weight was compared in the weight calculation of evaluating indicators by using the fuzzy mathematics through using the atmosphere monitoring datas of 10 monitoring points in the city of Changchun. The results showed that when the evaluation involves a number of evaluation objects using this method was very convenient for fuzzy synthetic evaluation. Only one calculation was enough and it need not to calculate every monitoring point. This method predigested the fuzzy synthetic evaluation process greatly and the evaluation results were objective and reasonable.
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基于熵权的大气环境质量模糊综合评价
针对模糊综合评价法在确定多因素权重时存在计算困难和忽略评价对象间关系的缺陷,提出了利用信息熵确定多目标评价因素权重的新思路。利用长春市10个监测点的大气监测数据,运用模糊数学方法,比较了熵权法和超权法在评价指标权重计算中的差异。结果表明,当评价涉及多个评价对象时,采用该方法进行模糊综合评价十分方便。只需计算一次就足够了,不需要计算每个监测点。该方法大大简化了模糊综合评价过程,评价结果客观合理。
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