基于属性优先级别关系和满意度的多属性决策方

本文研究了属性间有优先级别关系,各属性有满意度要求的多属性决策问题.利用属性间的优先级别关系和属性的满意度要求来确定低级别的属性对高级别的属性的补偿的大小的方法,获得了一种多属性决策信息集结方法,推广了相关文献的结果,使得决策结果更加符合实际的决策要求.     

Total Vertex Irregularity Strength of Dense Graphs

Consider a graph of minimum degree δ and order n. Its total vertex irregularity strength is the smallest integer k for which one can find a weighting such that for every pair of vertices of G. We prove that the total vertex irregularity strength of graphs with is bounded from above by . One of the cornerstones of the proof is a random ordering of the vertices generated by order statistics.     

基于区间型多属性决策的突发事件属性熵权的确定

突发事件的实时数据是应急决策的依据,提高对数据的处理能力,确定突发事件属性的熵权,筛选出反映事件发展趋势的重要属性,是提高决策效率和准确性的关键问题。利用共性知识模型结构化表示突发事件和属性,参考区间型多属性决策方法,把事件属性监测值转换为区间数型,在保持时序信息的同时降低数据维数,并通过定义精确数与区间的距离,使突发事件属性集均转化为成本型属性;继而利用基于熵权的区间型多属性决策方法计算事件的属性熵权值,权值越大,表示包含事件演化趋势的信息越多,在决策时就应被重点关注。最后,通过实例说明此方法的有效性和实用性。     

非线性均值方差模型的贝叶斯数据删除统计诊断

文章在非线性均值方差模型框架下基于K-L距离研究贝叶斯数据删除影响的统计诊断问题,通过应用Gibbs抽样和MH算法估计贝叶斯数据删除影响诊断统计量.随机模拟研究和红鳟鲑鱼数据的数值例子说明该诊断方法的可行性.     

Closer asymptotic approximations for the distributions of the power divergence goodness-of-fit statistics

Summary The members of the power divergence family of statistics all have an asymptotically equivalent χ² distribution (Cressie and Read [1]). An asymptotic expansion for the distribution function is derived which shows that the speed of convergence to this asymptotic limit is dependent on λ. Known results for Pearson'sX ² statistic and the log-likelihood ratio statistic then appear as special cases in a continuum rather than as separate (unrelated) expansions.     

Monitoring process for attributes with quality deterioration and diagnosis errors

The aim of this paper is to present an online economical quality-control procedure for attributes in a process subject to quality deterioration after random shift and misclassification errors during inspections. The process starts in control (State I) and, in a random time, it shifts to out of control (State II). Once at State II, the non-conforming fraction increases according to a non-decreasing function ψ(z), where z is the number of items produced after a shift. The monitoring procedure consists of inspecting a single item at every m produced items, which is examined r times independently to decide its condition. Once an inspected item is declared non-conforming, the process is stopped and adjusted. A direct search technique is used to find the optimum parameters which minimize the expected cost function. The proposed model is illustrated by a numerical example. Copyright © 2007 John Wiley & Sons, Ltd.     

基于属性识别准则大学生思想品德量化的数学模型

依据一定的社会评价标准,建立大学生思想品德评价的指标体系,利用现代数学方法——属性识别理论和层次分析方法,建立定量研究模型.     

Slutsky定理在样本分位数的极限分布证明上的应用

为了更好地理解和应用样本分位数的极限分布,利用Slutsky定理,推导了样本分位数的极限分布.     

属性识别预警系统(AFS)——一种新的信用评价方法

在属性集和属性测度函数的基础上建立了属性测度预警系统.利用我国深、沪两交易所2000年公布的106家上市公司作为训练样本,计算出“差”企业和“好”企业的属性测度均值,构造出属性测度函数.进而对2001年公布的13家预亏公司进行预警分析,用置信度准则及最大属性测度准则判别,预警准确率分别达到92.31%和100%.因此,属性识别预警系统在信用评价方面具有良好的应用前景.     

基于属性测度的决策系统研究

在属性集和属性测度理论基础上系统地讨论了属性测度综合评价和决策系统.把综合决策系统分为三个子系统;第一个为单指标性能函数分析子系统,第二个为多指标综合性能函数分析子系统;第三个为识别分析子系统.并在属性测度决策系统的基础上,给出了一个应用实例.通过实例的分析,表明该系统是合理、实用和有效的.