一种无校正集灰色体系光谱定量分析方法

在前人关于"分子光谱谱线近似满足高斯线型"的理论基础之上,根据混合物光谱与待测组分纯光谱,通过对光谱取对数、一阶导数,运用迭代逼近算法,提出了一种无校正集的灰色体系光谱定量分析方法。把残余光谱的对数——一阶导数曲线中直线范围之和最大作为混合物光谱中已知纯光谱成分完全剔除的标准,以此判断混合光谱中纯光谱的含量,该含量即为混合物中待测化合物的含量。对于该过程中的求导运算,以抑制导数运算对噪音的放大,提出并应用了一种新的近似导数方法,即用信号与正交多项式的卷积替代常规导数运算,效果良好。该定量分析方法具有无校正集、过程参数固定、无人为因素影响等优点。     

Artificial neural network model of the hybrid EGARCH volatility of the Taiwan stock index option prices

This investigation integrates a novel hybrid asymmetric volatility approach into an Artificial Neural Networks option-pricing model to upgrade the forecasting ability of the price of derivative securities. The use of the new hybrid asymmetric volatility method can simultaneously decrease the stochastic and nonlinearity of the error term sequence, and capture the asymmetric volatility. Therefore, analytical results of the ANNS option-pricing model reveal that Grey-EGARCH volatility provides greater predictability than other volatility approaches.     

Prediction of index futures returns and the analysis of financial spillovers—A comparison between GARCH and the grey theorem

This paper adopts the GM(1, 1) model to predict the rates of return of nine major index futures in the American and Eurasian markets. In a further step, by means of local grey relational analysis and by employing the GM(1, N) model for the first time, the variation relatedness and the main influencing factor among the above mentioned targeted markets is determined. Then, a comparison between GARCH/TGARCH and the grey theory with regard to predictive power is conducted. The findings reveal that the GARCH/TGARCH model performs better than the GM(1, 1), including the optimal α method, in terms of forecasting capabilities. Meanwhile, it is also found that GARCH and spillover effects indeed exist. Moreover, GM(1, N) also reveals that the daily rate of return of the Dow Jones index futures has the most influence on the rates of return of the other index futures.     

基于双光子光折变效应的非相干耦合灰光伏孤子族

为了研究开路条件下双光子光伏光折变材料中的灰光伏孤子族,建立了光伏孤子族的动态演化方程,给出了非相干耦合灰光伏孤子族的数值解.采用数值模拟的方法,求解孤子族的数值表达式.结果表明:这种孤子族是由多束偏振方向和波长都相同的互不相干光束耦合形成的.当孤子族只有两个分量时,灰光伏孤子族可以退化成灰-灰光伏孤子对|当孤子的灰度参量取零时,灰光伏孤子族退化成暗光伏孤子族,灰-灰光伏孤子对退化成暗-暗光伏孤子对.文中采用的光伏光折变材料是LiNbO3.     

Learning Fuzzy Grey Cognitive Maps using Nonlinear Hebbian-based approach

Recently, Fuzzy Grey Cognitive Maps (FGCM) has been proposed as a FCM extension. It is based on Grey System Theory, that it has become a very effective theory for solving problems within environments with high uncertainty, under discrete small and incomplete data sets. The proposed approach of learning FGCMs applies the Nonlinear Hebbian based algorithm determine the success of radiation therapy process estimating the final dose delivered to the target volume. The scope of this research is to explore an alternative decision support method using the main aspects of fuzzy logic and grey systems to cope with the uncertainty inherent in medical domain and physicians uncertainty to describe numerically the influences among concepts in medical domain. The Supervisor-FGCM, trained by NHL algorithm adapted in FGCMs, determines the treatment variables of cancer therapy and the acceptance level of final radiation dose to the target volume. Three clinical case studies were used to test the proposed methodology with meaningful and promising results and prove the efficiency of the NHL algorithm for FGCM approach.     

灰色关联分析方法在机场风险评价中的应用

本文通过对机场风险因素的分析,建立了一套合理的机场风险评价指标体系,并运用模糊层次分析法确定各评价指标的权重,然后结合灰色关联分析,建立了机场风险评价模型.最后将此方法运用到具体的实例中,说明了该方法的有效性.     

Pseudo quasi‐3 designs and their applications to coding theory

We define a pseudo quasi‐3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi‐symmetric. Quasi‐symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi‐3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 411–418, 2009     

基于灰色系统理论的平行数据模型及其在人才供求中的应用

以某普通高等学校毕业生和就业学生为分析对象.以灰色系统理论为基础,通过DGM(1,1)模型获取了2006—2007年该高校毕业人数和就业人数的预测值.并结合2001年到2005年统计数据,利用平行数据模型建立起了普通高等学校毕业人数与就业人数之间的关系模型,揭示了高校人才供求间的结构关系和政策影响力度.最后提出了几点相关建议.     

试卷质量的灰色综合评判

李文革．试卷质量的灰色综合评判．数理统计与管理，１９９７，１６（４），４２～４５．本文运用灰色综合评判评价了文［１］中的七套试卷，得到了与文［１］不同的结果，但本文的结果更符合客观实际。     

基于灰色关联神经网络的主机热力参数监测研究

为了对船舶主动力系统的热力性能参数进行监测研究,以确保故障预警的可靠性,针对主机热力参数间的非线性关系,建立了基于灰色关联分析的BP神经网络监测模型(GRA-BP),通过灰色关联分析和信息熵加权对网络输入量进行预处理,并利用遗传算法优化网络的初始权值和阈值,提高模型监测精度。最后,以实船主机排气温度为待监测对象,验证了该监测模型的准确性,平均相对误差为0.549℃,优于传统网络的监测结果。