摘要
基于灰色系统理论,提出一种改进的灰色相似关联度模型.通过计算评价对象的单因素隶属度矩阵,得到与各标准水质级别在不同评价指标处的灰色相似关联系数,最后根据灰色相似关联系数得到对各标准水质级别的综合隶属度.将此方法应用于延河流域的八个监测断面进行水质综合评价,取得了较好的结果.在此基础上进一步分析和改进了最大隶属度原则,在考虑最大隶属度的同时,综合考虑评价对象对各标准水质级别隶属度的分布,并制定了调整规则.
Based on the gray system theory, a new gray similar correlation model was pro- posed. By calculating the research object＇ s single factor membership matrix, gray similarity correlation coefficients were obtained with water quality standard for different evaluation indexes. Finally a comprehensive membership to each level of water quality standards was obtained. This method is applied to conduct a comprehensive water quality evaluation on eight monitoring sections of Yan River Basin, and a reasonable result was achieved. This indicates that the method is feasible. On this basis, further analysis and improvement have been done for maximum membership. Considering both the maximum degree and distribu- tion of membership to each standard water quality evaluation level, then a mended rule was developed.
出处
《数学的实践与认识》
北大核心
2015年第12期154-159,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(51178018)
教育部博士点基金(20131102110024)
关键词
水质评价
模糊综合评价
灰色相似度
最大隶属度
water quality evaluation
fuzzy comprehensive evaluation
gray similarity
max-imum degree of membership
