基于区间值模糊集的水质综合评价方法  

Comprehensive Evaluation of Water Quality Based on Interval-Valued Fuzzy Sets

作　　者：张晓平[1] 许文杰[1] 张强[2] 

机构地区：[1]山东建筑大学理学院,山东济南250101 [2]北京理工大学管理与经济学院,北京100081

出　　处：《济南大学学报（自然科学版）》2011年第1期89-93,共5页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(70771010);山东省自然科学基金(ZR2009FM062);山东省高等学校优秀青年教师国内访问学者项目

摘　　要：为更准确地评价某地区全年地表水环境质量,将区间值模糊集理论引入到水质综合评价中。以山东省聊城市东昌湖为例,建立地表水标准中不同类别的隶属函数,进而确定区间值模糊综合评判矩阵,给出区间数排序方法,实现对水环境的综合评价。给出新的可信度的定义,使之更符合实际应用的需要。并且讨论两种不同权重、两种不同的区间数排序方法下模型的稳定性,实际评价结果表明模型的合理性和实用性。The interval-valued fuzzy set theory is introduced to the comprehensive evaluation of surface water quality. It provides a more accurate evaluation of the surface water quality in a certain area for the whole year. The application of this model in Dongchang Lake is given as an example. In this model, different grades of membership functions of evaluation criterion of surface water environment quality are developed, the interval-valued fuzzy comprehensive evaluation matrix is determined, and the methods of ranking interval numbers are established. Therefore a comprehensive evaluation of water environment quality can be made. Confidence level is redefined to meet the practical application needs. In addition, the stability of the model is discussed under two different weights and two different methods of ranking interval numbers, showing the rationality and practicality of the model.

关 键 词：区间值模糊集 模糊综合评判 区间数排序 可信度 水质综合评价 

分 类 号：O159[理学—数学]