基于模糊迭代聚类的水资源分区研究

给出一种模糊聚类循环迭代模型以及确定最佳聚类数的方法,采用交叉循环迭代的方法确定聚类中心,通过判断聚类准则函数获得最佳聚类数。最后将模糊聚类循环迭代模型应用到对我国 29 个省、市、自治区的水资源分区的研究中,将水资源按照 4 个指标分为 5 个类别,结果表明,模糊循环迭代聚类模型得出的分区结果比较合理。     

质量互变定理的两种表示——兼论集对分析中介不确定性

针对哲学规律数字化与数学思维辩证化是数学领域研究的两大重要命题,根据可变模糊集理论率先给出唯物辩证法哲学三大规律之一是对两大研究命题的重要突破,质量互变规律严密的数学定理——质量互变定理的两种表示。根据该定理分析指出集对分析中介不确定性概念的错误。     

可变模糊工程综合评定方法及其应用

可变模糊工程方法可科学地确定样本指标对各级指标标准区间的相对隶属度,并且能够通过变化模型及其参数,合理地确定出样本的评价等级,提高对样本等级评价的可靠度.将该方法应用到宇航高压容器强度性能的综合评定中,评定结果与专家评定的结果吻合.可变模糊工程综合评定模型及其方法亦可应用到其它行业产品的质量评定中.同时指出可拓综合评定方法因存在的关联函数公式错误,不能用于宇航高压容器强度性能的综合评定.     

多目标系统半结构性决策理论与方法

多目标系统决策常常是一个既有定量目标,又有定性目标的多目标半结构性决策系统。文中提出定性目标对优属度矩阵的确定理论与方法。继而提出与定性目标相对优属度计算具有统一标准的定量目标相对优属度 计算公式。     

Second decision-making method of the fuzzy optimal model and its application

In the process of concept design offshore platforms, it is necessary to select the best from feasible alternatives through comparison and filtering. Fuzzy optimal selection in multiple stages is an useful method in engineering decisionmaking, but in some cases, it is difficult to make a distinction between the first alternative and the second. Therefore it is necessary to improve the fuzzy optimal selection method with multiple stages. In this paper, using fuzzy cross iteration optimal modeling, the weight sensitivity analysis is made firstly. Then a second decision-making method to solve fuzzy optimal problems is proposed. Its basic principle is the inverse reasoning in mathematics. This method expands the applied range of fuzzy optimal selection. Finally this method is used in the concept design of offshore platform. A case study shows that this method is scientific, reasonable and easy to use in practice.     

多目标决策模糊集理论与模型

设系统有n个待优选的对象组成备择对象集,有m个评价因素组成系统的评价指标集。每个评价指标对每一备择对象的评判用指标特征量表示,则系统有n×m阶指标特征量矩阵:     

综合利用水电站水库■流调节的数值解法(英文)

The Numerical Solution of the Flow Regulation of theWater Power Station of Multipurpose Utilization ReservoirChen ShouyuStream flow regulation is one of the most important technical measures indeveloping water resources and in controlling river system. To constructreservoirs on a river to regulate the runoff is an active way to reconstructthe natural water resources. In order to realize such an engineering measure,one must investigate the theory and method of flow regulation, so as to get…     

河渠不恒定流计入惯性力1/g V/t+V/g V/S瞬时流态的有限差方程及其解法

本文提出河渠不恒定流计入速头沿流程变化Ｖ／ｇ■Ｖ／■Ｓ的流动方程及其迭代解 法。然后将此结果与笔者在文［１］中的成果进行分析综合，从而能够克服传统瞬态 法忽略惯性力或权 考虑惯笥项１／ｇ■Ｖ／■ｔ的缺点，大大扩展了瞬态法的适用范围。