集对分析在湖泊富营养化评价中的应用研究——区间数与三角模糊数组合的集对分析

Application of Set Pair Analysis Model in Evaluation of Lake Eutrophication——Based on Combination of Interval Number and Triangular Fuzzy Number

针对湖泊富营养化评价的不确定性型多属性决策问题,提出了基于区间数与三角模糊数组合的集对分析模型,引入简单关联函数来确定指标的权重,详细介绍了湖泊富营养化评价的基本原理和关于区间数、三角模糊数转化为集对分析联系数的表示方法。通过计算联系数的模以及属性等级模与属性值模的同一度,再利用这些同一度并参照属性等级数n建立n元联系数,再建立等级与联系数的映射关系确定评价等级。应用该模型对我国9个湖泊的富营养化程度进行了评价,该方法的评价结果与实际情况相符,为湖泊富营养化的治理和保护提供了技术支持。

With regard to the decision-making issue of uncertain multiattribute of lake eutrophication evaluation, set pair analysis model was proposed based on combination of interval number and triangular fuzzy number, and simple correlation functions were introduced for index weight determination. In this paper, basic principles of the lake eutrophication evaluation and description method of converting interval number and triangular fuzzy number into the connection number of set pair analysis were introduced in detail. The modulus of connection number and the identical degrees of attribute level modulus and attribute value modulus were first calculated. Then, through referring to the attribute level n and their degrees of identity, n-element connection number was established. Afterwards, mapping relation between degree and connection number was set up to identify the evaluation level. This model was applied to evaluate the eutrophication status of 9 lakes in China and the evaluation results were consistent with the actual situation, providing a scientific basis for control and protection of lake eutrophication.