Generalized notions of amenability, II

This paper continues the investigation of the first two authors begun in part I. It is shown that approximate amenability and approximate contractibility are the same properties, as are uniform approximate amenability and amenability. Bounded approximate contractibility and bounded approximate amenability are characterized by the existence of suitable operator bounded approximate identities for the diagonal ideal. Results are given on Banach sequence algebras, Lipschitz algebras and Beurling algebras, and on the crucial role of approximate identities. A new proof is given for a result due to N. Grønbæk on characterizing of amenability for Beurling algebras.     

相思树酸溶木素含量近红外光谱分析的新方法

用迭代法分别建立了相思树样品的酸溶木素含量和克拉森木素含量近红外光谱分析模型。结果表明对克拉森木素含量的预测效果明显好于对酸溶木素含量的预测效果。不同于一般的近红外光谱分析建模方法,利用酸溶木素含量与克拉森木素含量之间的近似线性关系,结合多波长下的近红外光谱数据,用预测效果较好的克拉森木素含量帮助构建了预测效果欠佳的酸溶木素含量的二十个子预测模型。通过计算这些子模型预测值的加权平均值,最终得到了每个相思树样品酸溶木素含量的新预测值。新模型的预测误差明显小于用迭代法所建模型的预测误差。文中建模方法有望用于某些用通常方法预测效果欠佳的化学成分含量,使它们的近红外光谱分析效果得到改善。     

基于粗糙集的CBR系统案例特征属性优化算法研究

提出了一种基于粗糙集理论和可辨识矩阵的改进型特征属性优化算法。该算法能更好地融入特征属性的背景知识和专家的经验知识,提高了案例检索效率。同时给出了该方法在通信装备故障诊断系统中的应用实例,验证了其有效性和准确性。     

考虑多角度效用的应急案例调整方法

针对提高应急方案调整精确度的问题,提出了一种基于多角度的应急案例调整方法.基于3种相似度计算方法得到案例的综合相似度,通过灰色关联度计算方法得到问题与方案间的案例关联度;并从综合相似度、灰关联度以及案例实施效果三方面确定相似历史案例集及其权重;再运用证据推理对相似历史案例的方案进行集结,得到目标案例的调整方案.最后,通过算例说明方法的可行性和有效性.     

Approximate analytical solutions to a conservative oscillator using global residue harmonic balance method

In the current research paper, a conservative system comprising of a mass grounded by linear and nonlinear springs in series connection is studied. The equation of motion for the aforementioned system has been derived as a nonlinear ordinary differential equation with inertia and static–type cubic nonlinearities. The global residue harmonic balance method is applied to obtain an approximate analytical frequency and periodic solution of the problem. Using the obtained analytical expressions, the influences of the hardening and softening nonlinear spring on the non–dimensional frequency are investigated. The results show that developing the system nonlinearity leads the displacement of the mass and the deflection of linear spring to approach each other. Moreover, comparison of the results obtained using the proposed procedure with those achieved by other methods such as numerical method, variational iteration method and harmonic balance approach demonstrates the accuracy and advantages of the current approach.     

基于案例推理方法在惯性导航故障诊断专家系统的应用

以测量船惯性导航系统为例,为解决其故障诊断专家系统知识瓶颈问题,特别是突发、原因不详的故障,利用专家知识和以往的工作经验积累,在故障诊断专家系统中融入了基于案例的推理方法。这种推理方法把知识获取简化为领域内经验知识的收集,并以此为基础构造案例库;把基于规则的推理转化为基于案例推理,即在案例库中检索相似的经验知识。采用基于案例推理的方法,可以简化知识获取的过程,求解效率高、质量高,具有持续的学习能力,能有效提高故障诊断系统的智能化程度。文中重点介绍了构建该故障诊断专家系统的案例知识表示方法、案例的索引和检索算法等关键技术。     

近似骨架导向的归约聚类算法

该文针对聚类问题上缺乏骨架研究成果的现状,分析了聚类问题的近似骨架特征,设计并实现了近似骨架导向的归约聚类算法。该算法的基本思想是:首先利用现有的启发式聚类算法得到同一聚类实例的多个局部最优解,通过对局部最优解求交得到近似骨架,将近似骨架固定得到规模更小的搜索空间,最后在新空间上求解。在26个仿真数据集和3个实际数据集上的实验结果表明,骨架理论对提高聚类质量、降低初始解影响及加快算法收敛速度等方面均十分有效。     

基于条件熵的直觉模糊条件推理

该文在利用隶属度和犹豫度计算直觉模糊逻辑命题真值的对称合成方法的基础上,提出了一种基于条件熵的直觉模糊条件推理新算法。将直觉模糊条件推理规则的前件和后件与决策信息系统的条件属性和决策属性等价起来,条件属性、决策属性和推理规则均视为直觉模糊命题,直觉模糊命题的真实程度转化成一种决策规则前件对后件的条件熵的度量,并给出了条件熵的范围,从而确定直觉模糊命题的真实程度的范围。     

An approximate treatment of reflection coefficient in the phased beam tracing method for the simulation of enclosed sound fields at medium frequencies

The phased beam tracing method (PBTM) was suggested as a medium-frequency simulation technique for the calculation of impulse response, although main assumptions of geometric acoustics still hold. The phased method needs the reflection coefficient for characterizing the acoustic property of a surface and the complex wave number for describing the propagation characteristics. In this study, two types of approximate real reflection coefficients derived from the measured absorption coefficient were tested for a practical applicability. As a test example, pressure impulse responses and energy impulse responses computed from the PBTM were compared with those from the measurement and the ordinary beam tracing method. The PBTM employing the approximate reflection coefficients greatly increased the accuracy of the prediction compared to the ordinary beam tracing method, in particular at the medium-frequency range in octave bands above the Schroeder cutoff frequency. A comparison was made between angle-dependent and angle-independent reflection coefficients in the calculation of acoustic measures. Although the angle-dependent reflection coefficient yielded best matched results with measured data, but the simple angle-independent reflection coefficient can be also used with a reasonably good precision.