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基于区间数的空气质量模糊综合评价模型
引用本文:王治朋,王静飞,李菊倩,赵宗显,刘燕.基于区间数的空气质量模糊综合评价模型[J].数学的实践与认识,2021(3):230-235.
作者姓名:王治朋  王静飞  李菊倩  赵宗显  刘燕
作者单位:大连工业大学信息科学与工程学院;大连工业大学基础教学部
基金项目:国家自然科学基金(61403056);辽宁省自然科学基金(2019-ZD-0128);大连工业大学大学生创新创业训练计划项目资助。
摘    要:针对空气质量评价的不确定性,引入区间数概念进行2016年辽宁省各城市的空气质量综合评价和分析.参照国家大气质量标准,选用SO2、NO2、CO、PM2.5、PM10五种大气主要污染物作为评价因子,利用区间数计算污染因子的隶属度进行分析.考虑到城市差异,采用区间梯形隶属度函数,同时考虑区间数排序函数及可信度对区间数排序进行修正,避免了单因素得分区间数的发散,并综合确定评价等级.实例分析验证了该评价方法的可行性,依据收集的数据和此方法的结论得出空气质量的好坏与污染源分布、污染物扩散条件以及季节等因素有关.

关 键 词:区间数  模糊综合评价  空气质量评价  排序

A Fuzzy Comprehensive Evaluation Method for Air Quality Based on Interval Number
WANG Zhi-peng,WANG Jing-fei,LI Ju-qian,ZHAO Zong-xian,LIU Yan.A Fuzzy Comprehensive Evaluation Method for Air Quality Based on Interval Number[J].Mathematics in Practice and Theory,2021(3):230-235.
Authors:WANG Zhi-peng  WANG Jing-fei  LI Ju-qian  ZHAO Zong-xian  LIU Yan
Institution:(School of Information Science and Engineering,Dalian Polytechnic University,Dalian 116034,China;Foundation Department,Dalian Polytechnic University,Dalian 116034,China)
Abstract:In view of the uncertainty of air quality evaluation,the concept of interval number was introduced to evaluate and analyze the air quality of cities in Liaoning Province in 2016.According to the national air quality standards,five kinds of atmospheric pollutants including SO2、NO2、CO、PM2.5、PM10 were selected as evaluation factor,and interval number was used to calculate the degree of membership of the pollution factor.Considering the urban differences,the interval trapezoidal membership function was adopted,and the interval number ordering was modified by considering the interval number sorting function and the credibility,which avoided the divergence of the single factor score and determined the evaluation grade synthetically.The case study verified the feasibility of this evaluation method.It was concluded that the air quality was related to reasons including the distribution of pollution sources,the pollutant diffusion conditions and the season.
Keywords:interval number  fuzzy comprehensive evaluation  air quality evaluation  rank
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