软土地基深基坑围护方案综合评价

针对国内目前深基坑围护方案设计中,只重视技术设计。而缺乏对造价、环境、工期及不可见等因素综合考虑的现状,本文建立了基于一定设计条件下对围护设计方案综合评价的模糊识别矩阵。     

层次分析中排序的一种新方法

Saaty提出的特征向量排序方法（EM）已被广泛应用于层次分析（AHP）中。本文提出一种判断矩阵排序的最小扰动性（LPM）,并给出一个收敛性迭代算法和一些算例。LPM在几个重要方面优于EM。理论分析和数据结果表明：LPM是一种可行且有效的排序方法。     

What do mathematicians mean by proof? A comparative-judgement study of students’ and mathematicians’ views

We present a study in which mathematicians and undergraduate students were asked to explain in writing what mathematicians mean by proof. The 175 responses were evaluated using comparative judgement: mathematicians compared pairs of responses and their judgements were used to construct a scaled rank order. We provide evidence establishing the reliability, divergent validity and content validity of this approach to investigating individuals’ written conceptions of mathematical proof. In doing so, we compare the quality of student and mathematician responses and identify which features the judges collectively valued. Substantively, our findings reveal that despite the variety of views in the literature, mathematicians broadly agree on what people should say when asked what mathematicians mean by proof. Methodologically, we provide evidence that comparative judgement could have an important role to play in investigating conceptions of mathematical ideas, and conjecture that similar methods could be productive in evaluating individuals’ more general (mathematical) beliefs.     

模糊AHP中一种新的标度法

文章提出了模糊环境中ＡＨＰ的一种新标度，运用它构造互补判断矩阵，利用模糊一致性矩阵直接求出排序向量，并给出了两个检验一致性的标准。     

二元综合鉴别函数的神经网络优化

根据Ｈｏｐｆｉｅｌｄ神经网络的优化功能，对综合鉴别函数进行二元优化，使相关输出具有期的望的形状及峰值大小，从而实现旋转不变识别，并定义了一个判别依据－判别比，计算机模拟的结果表明，目标物体通过优化的二元滤波器后，不仅具有期望输出，而且判别经要比伪目标物体至少大一个量级。     

区间AHP权重计算的目标规划法

本文对区间 AHP的权重计算问题进行了研究 ,给出了几种新的权重计算方法 .每种方法求解一个线性目标规划问题得到各方案的区间权重 .文章最后给出了一个算例 .     

工程方案综合评判的判定

系统分析中用多个指标对多个工程方案进行综合优选，选出的最优方案是不能用裰俨验证的。那私选出的最优方案若因计算疏漏而出了差错，用于指导工作时可能会导致决策失误。本文给出两个综合评判的判定定理，使得综合评判选出的最优方案有无差错能够自查，以避免可能发生的决定失误，最后给出了一个实例以说明方法的有效性。     

互补判断矩阵一致性的两种修正方法

By the transformation relations between complementary judgement matrix and reciprocal judgement matrix ,this paper proposes two methods for improving the consistency of complementary judgement matrix and gives two simple practical iterative algorithms. These two algorithms are easy to implement on computer,and the modified complementary judgement matrices remain most information that original matrix contains. Thus the methods supplement and develop the theory and methodology for improving consistency of complementary judgement matrix.     

基于阈值判断的CamShift目标跟踪算法

针对CamShift算法只利用目标的颜色信息,在跟踪过程中,易受目标相似物、遮挡以及光照等复杂背景影响导致目标搜索窗口发散,跟踪稳定性能降低,提出了一种基于阈值判断的目标跟踪方法。该方法将OTSU法和Snake模型结合,利用OTSU法以最佳阈值对图像进行分割,分离前景区域和背景区域,初步提取目标轮廓作为Snake模型的初始轮廓,经收敛得到目标的精准轮廓,利用轮廓外接最小矩形框内的像素计算目标质心,判断与CamShift算法中目标搜索窗口质心之间的欧式距离,如果未超出阈值,则直接使用CamShift算法跟踪目标,反之,则将计算出的目标质心作为CamShift算法中当前帧目标搜索窗口的质心跟踪目标。实验结果表明,该算法跟踪目标具有较好的实时性,跟踪性能稳定、可靠。     

HG-凸函数及其Jensen型不等式

给出了HG-凸函数概念及其判定定理,建立了HG-凸函数的Jensen型不等式,并给出它的应用.