水资源系统分析中模糊隶属度与集对联系数的不确定性特征辨析

为探究模糊隶属度与集对联系数两种理论间的内在联系,分析了二者在概念、理论和适用性的异同,利用集对理论构造联系数模型与模糊数学思想构造隶属度函数,分别评价了黑龙江省水资源承载力现状。结果表明,集对理论与模糊数学理论在水资源系统分析中均有良好的效果。由于模糊性是排中率的破缺,模糊数学在不确定性的现状评价中更有优势;集对联系数可视为模糊隶属度的区间表达,可对评价对象进行简单分级,并能动态评价研究对象。

Uncertainties of Fuzzy Membership Degree and Set Pair-wise Connection in Analysis of Water Resources System

This paper proposed to compare the fuzzy membership degree with the set pair number and analyzed the similarities and differences between the two in concept, theory and applicability. The set pair theory and the fuzzy mathematics were used to establish the membership function, and the current status of water resources carrying capacity in Heilongjiang Province was evaluated. The results show that the set pair theory and fuzzy mathematics theory have a good effect in the analysis of water resources system. Because the ambiguity is the break of the rate of volley, fuzzy mathematics has more advantages in the evaluation of the status quo of uncertainty. The set of pairs can be regarded as the interval expression of fuzzy membership, which can be easily graded and dynamically evaluate the study subjects.