一个二维滞后Logistic映射的分岔与分形

利用理论推导分析了二维滞后Logistic映射周期解的稳定性和分岔,利用相图、分岔图、Lyapunov指数和分维数等计算方法,证明了二维滞后Logistic映射依次经叉形分岔和Hopf分岔通向混沌.对二维滞后Logistic映射的吸引盆及其广义M-J集的研究表明:不同周期轨道的吸引盆形状相似,大小不同,每个吸引盆中周期和非周期区域之间的边界是分形的;广义M集的结构与a,R和有N关,广义J集的结构与a,R,N,和Cx,Cy有关,并且广义M-J集具有分形特征.     

基于可拓的Vague相似度计算

在Vague的各种理论和应用中,相似度占据着不可低估的重要作用。笔者针对目前相似度的不同研究方法,通过引入点与区间"距"的概念,借助可拓关联函数构建了一种新的相似度度量公式,进而为Vague的研究提供了一种新的思路。最后通过实例验证了该方法的可行性。     

Numerical Characterizations of Covering Rough Sets Based on Evidence Theory

<正>Covering rough sets are improvements of traditional rough sets by considering cover of universe instead of partition.In this paper,we develop several measures based on evidence theory to characterize covering rough sets.First,we present belief and plausibility functions in covering information systems and study their properties.With these measures we characterize lower and upper approximation operators and attribute reductions in covering information systems and decision systems respectively.With these discussions we propose a basic framework of numerical characterizations of covering rough sets.     

Extension of Rough Set on Granular Structures and Axiomatic Characterizations

<正>In granular computing granular structures represent knowledge on universe,in this paper several important granular structures are considered.In a general granular structure the notions of interior point, accumulation point and boundary point etc are proposed,by use of these notions and referring to topological method,the lower and upper approximations of a subset of universe are defined such that they are one kind of generalization of the existing approximations based on some special granular structure.Basic properties of new rough set approximations are investigated.Furthermore,granular structures on universe are characterized by the lower and upper approximation operators.     

改进水平集的车辆检测算法

针对视频序列的车辆检测,研究了常用的车辆检测算法。提出一种改进的基于水平集函数的车辆检测算法。利用均值法建立背景模型,采用背景差分法获得车辆运动区域位置,大大缩小水平集函数在图像中曲线演化的范围,快速准确地检测到车辆。     

S-rough Laws and Its Dependent Separation by F-Interference

By employing function S-rongh sets, the concepts of f-interference generation and separation of law, and the F-interference generation and separation of S-rough laws were proposed. Base on the concepts above, the F-interference relation theorems, the F-interference discernibility theorem, the dependent separation theorem by interfereence, and the dependent separation principle by interference were presented; finally the application was given. By employing F-interference dependence and separation of S-rough laws, the changes of characteristic of dynamic systemic regularities could be recognized.     

基于边界熵的S-粗集不确定性度量

针对S-粗集中元素的动态特性,给出了内、外边界和外边界熵的概念,将传统的粗糙度与外边界熵结合进来,提出了一种新的S-粗集不确定性的度量方法,讨论了这一度量的特性,并通过实例说明这一新的度量方法的合理性与简便性。     

一类锥优化问题有效集序列的稳定性

通过引入集列的单位相对紧性和函数的强收敛性,研究赋范线性空间中一类真拟锥凸映射向量优化问题有效集序列的稳定性,并利用集合序列的Kuratowski-Painlevé收敛性,给出向量优化问题的有效集、弱有效集及Henig有效集序列的收敛性及稳定性条件.     

基于单值中智VIKOR法的供应商优选模型

针对属性权重未知的供应商优选问题,提出一种基于单值中智VIKOR法的供应商优选模型。首先通过语言变量确定了决策专家和属性指标的权重;接着利用单值中智加权平均算子把所有专家给出的中智决策矩阵进行集结,构建综合中智决策矩阵;然后通过将VIKOR法扩展到单值中智环境下,得到备选供应商的折中最佳方案。最后通过仿真实例说明了模型的有效性和实用性,并结合灵敏性测试,验证了该模型的灵活性。     

考虑偏好差异与备选方案相关性的居民出行方式选择模型

为克服传统logit模型的IIA缺陷, 构建合适的居民出行方式选择模型。尝试结合广义极值模型与潜在类别模型, 选取出行费用、出行时间、停车费用及等待时间等作为方式选择效用变量, 选取个人收入、出行目的与出行距离作为类属函数变量, 构建一种区分潜在类别的配对巢式logit模型, 该模型能同时刻画备选方式之间的相关性以及出行者的偏好差异。利用2005年北京市第三次居民出行调查数据, 对模型参数进行估 计和检验。参数估计结果表明: 1) 相较于传统MNL模型与不区分潜在类别的配对巢式logit模型, 区分潜在类别的配对巢式logit模型具有更优的统计学特征; 2) 对出行费用敏感的出行者比例大于对出行时间敏感的出行者比例, 提供交通服务时, 降低费用将比缩短时间更为有效。