区间数型水环境质量综合评价云物元模型及其应用
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摘要
用区间数表示的水环境质量标准值及监测样本的区间值不仅具有模糊性,同时具有随机性.针对区间数型水环境质量综合评价同时存在模糊性与随机性的问题,建立了一种基于云模型和物元模型的水环境质量综合评价模型.模型首先根据正态云模型的数字特征将水环境质量标准及待评价水质样本的区间值转化为云模型;然后,定义了云模型相似关联度公式,通过计算待评价水质样本与水环境质量标准的综合相似关联度,按照最大关联度原则确定水环境质量级别;最后通过实例说明了模型的应用,并与用其它方法得到的结果进行了对比,验证了模型的有效性.
The standard value of water environment quality expressed by interval number and the interval value of monitoring sample are not only fuzzy but also random. In order to solve the problem of fuzziness and randomness in the comprehensive evaluation of water environment quality based on interval number, a comprehensive evaluation model of water environment quality based on cloud model and matter-element model is established. Firstly, according to the digital characteristics of normal cloud model, the standard of water environment quality and the interval value of water quality samples to be evaluated are transformed into cloud model, and then the similarity correlation degree formula of cloud model is defined. According to the principle of maximum correlation degree, the grade of water environment quality is determined by calculating the synthetic similarity correlation degree between water quality sample and water environment quality standard. Finally, the application of the model is illustrated by an example. Compared with the results obtained by other methods, the validity of the model is verified.
The standard value of water environment quality expressed by interval number and the interval value of monitoring sample are not only fuzzy but also random. In order to solve the problem of fuzziness and randomness in the comprehensive evaluation of water environment quality based on interval number, a comprehensive evaluation model of water environment quality based on cloud model and matter-element model is established. Firstly, according to the digital characteristics of normal cloud model, the standard of water environment quality and the interval value of water quality samples to be evaluated are transformed into cloud model, and then the similarity correlation degree formula of cloud model is defined. According to the principle of maximum correlation degree, the grade of water environment quality is determined by calculating the synthetic similarity correlation degree between water quality sample and water environment quality standard. Finally, the application of the model is illustrated by an example. Compared with the results obtained by other methods, the validity of the model is verified.
引文
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[22]费日朋,梅润雨,谭炳卿.基于云模型的坝基岩体质量评价方法[J].人民长江,2016,47(增1).
[2]祝慧娜.基于区间数的水环境健康风险模糊综合评价[D].湖南大学,2009.
[3]祝慧娜,袁兴中,曾光明,等.基于区间数的河流水环境健康风险模糊综合评价模型[J].环境科学学报,2009, 29(7):1527-1533.
[4]罗玲莉,潘俊,安志娴,等.基于区间数排序的水环境质量评价方法研究[J].环境科学与管理,2010, 35(2):176-179.
[5]袁希慧,王菲凤,张江山.基于区间数的饮用水源地水环境健康风险模糊评价[J].安全与环境学报,2011,11(4):129-133.
[6]包玉娥,郭丽,刘国峰.基于区间数贴近度的水环境质量评价模型研究[J].数学的实践与认识,2014,44(8):34-41.
[7]祝慧娜,闫庆,尹娟.基于区间型贝叶斯的湖泊水质评价模型[J].环境工程,2015(2):130-134.
[8]王美娜,何星钢.基于集对分析联系数的区间数型水环境质量综合评价模型及其应用[J].数学的实践与认识,2017, 47(6):101-109.
[9]张斌,雍歧东,肖芳淳.模糊物元分析[M].北京:石油出版社,1997.
[10]夏非,范莉,苏浩益,等.基于云物元分析理论的电能质量综合评估模型[J].电力系统保护与控制2012,40(11):6-10.
[11]唐秋生,赵胜男,吕先洋.基于云物元评估模型的绿色供应链绩效研究[J].重庆交通大学学报(自然科学版), 2011, 30(2):340-343,352.
[12]郭保平,程建.基于云物元分析法的军事云计算安全评估研究[J].微电子学与计算机,2016,33(7):49-53.
[13]乔在朋,黄亮亮,匡春燕,等.基于云物元理论的钻井平台海上风险预警模型研究[J].石油与天然气化工,2015, 44(6):130-134.
[14]岳开伟.基于云物元的电能质量综合评估及其应用研究[D].北京交通大学,2012.
[15]梁院生,王花兰,宋岩.基于云物元综合评价理论下的高速公路诱导信息有效性研究[J].兰州交通大学学报,2014, 33(4):121-130.
[16]王训洪,郑明贵.基于AG-AHP和云物元模型的台阶爆破效果评估研究[J].江西理工大学学报,2015,36(5):61-66.
[17]周兰庭,张宇.基于云物元的混凝土坝裂缝危害性评价模型[J].水电能源科学,2017, 35(12):71-73.
[18]王训洪,顾晓薇,胥孝川,等.基于GA-AHP和云物元模型的尾矿库溃坝风险评估[J].东北大学学报(自然科学版),2017, 38(10):1464-1467.
[19]李德毅,杜.不确定性人工智能(第2版)[M].北京:国防工业出版社,2014.
[20]蔡文.物元分析[M].广东高等教育出版社,1987.
[21]高志方,杨青,彭定洪.基于云模型的TOPSIS决策方法研究[J].价值工程,2013(29):8-10.
[22]费日朋,梅润雨,谭炳卿.基于云模型的坝基岩体质量评价方法[J].人民长江,2016,47(增1).