系统模糊集理论在水环境系统——水质评价中的应用

【作者】 王涛；

【导师】 王本德；

【作者基本信息】 大连理工大学 ， 水利工程， 2002， 硕士

【摘要】 本文应用模糊集理论与方法对环境系统中存在的水质污染问题进行了实质性评价。全文共分六章内容提要如下： 首先论述了水环境系统中广泛存在着的模糊现象是客观的而普遍存在着的自然属性，以及在水环境系统中应用和研究模糊集理论与方法的重要性和必要性。然后结合文献总结，综述了模糊集理论在水环境系统—水质评价中的应用研究现状。最后概述了本文选题的基本内容和要点。 第二章作为本文研究应用的基础和为了便于论述，现将陈守煜教授提出的模糊识别、划分与决策理论加以介绍。第三章目前在应用模糊数学原理与方法和环境质量分类评价研究方面需要进一步探索的问题就是研究模糊划分聚类分析理论与方法在水质分类评价中的应用，并详细阐明以加权距离平方和为最小聚类准则及其相应的迭代公式的数学与物理意义。第四章对水质进行科学评价，评价方法是评价理论的核心，是现代环境科学基础理论研究的重要课题之一，评价方法的合理性，将直接影响到评价结果的可靠性。由于环境评价涉及到许多模糊性概念，应用模糊集理论与方法，引入权重，采用二级模糊综合评判模型，进行水质评价，比传统的评价方法更符合实际情况，能使环境评价的理论与方法建立在比较严谨的数学模型基础之上。第五章根据水环境质量评价的特点，陈守煜教授在模糊模式识别理论模型的基础上，运用了超标权重矩阵和动态分级的环境质量评价的模糊识别模式。此模型结构比较合理，评价过程能够充分利用实际数据中所包含的信息，评价结果更合理可靠。 在第六章对上述工作进行了总结；最后，提出下一步待研究课题。 总之，研究和应用模糊集理论及水环境系统的模糊系统分析方法，发展和丰富其内容，尤其是在水质评价中的具体应用，是本文的根本目的。同时与环保部门目前使用的水质评价方法加以对比，进一步验证水环境系统的模糊集理论和方法在水环境系统中的适用性，为城市水环境污染状况提供更合理的依据。更多还原

【Abstract】 This paper systematically studies the application of engineering fuzzy sets system theory and method to the evaluation of water quality pollution problems existed in environmental systems, which includes six chapters briefly introduced as follows.First, fuzzy concepts are to be recognized as objective and pervasive natural attributes in water environmental systems, and the significance and necessity of the application of engineering fuzzy sets theory to this field are also discussed. Then, combining with reference review, the research tendency of fuzzy sets theory in water quality evaluation is summarized. Finally, the framework and key points of this paper are generalized.Chapter 2 mainly reviews fuzzy recognition., fuzzy partition and fuzzy decision making theory proposed by Prof. Chen Shouyu, which are the theoretical foundation of this paper. In Chapter 3, the study-worthy problems of applying engineering fuzzy sets theory to (lie recognition of water quality are first discussed, then the mathematical and physical features of fuzzy iteration method, with a goal function of least quadratic sum of weighted general Euclidean weighted distances, are profoundly demonstrated. The scientific evaluation of water quality is an important research field in basic theory study of modern environmental science, and the rationality of the selected evaluation methods has a direct influence on the reliability of the evaluation results. Due to the existed fuzzy concepts, engineering fuzzy sets theory is introduced into environmental evaluation in Chapter 4, and then fuzzy synthetic evaluation model is used to carry out water quality evaluation, which is based on precise mathematical model, and is more consistent with the fact of water quality compared with the result from traditional evaluating methods. In Chapter 5, based on the characteristics of water environmental evaluation and fuzzy pattern recognition model proposed by Prof. Chen Shouyu, a new formula to transform decision-making index matrix into the relative membership degree matrix is introduced, then under dynamic ranking conditions, the fuzzy recognition model presented by Prof. Chen is used to implement evaluation, which has reasonable structure, and can fully integrate the information from real data, and consequently leads to more reliable evaluating results.Chapter 6 generalizes the above work, and presents research tasks to be studied further.This paper aims to study the application of engineering fuzzy sets theory to water environmental systems, especially to water quality evaluation. Compared with the traditional methods used in environmental protection sectors, the applicability of engineering fuzzy sets theory and method to water environmental systems is further validated, which offers more reasonable reference to polluted status of city water resources.更多还原