粗糙集中不确定性测量的修正粗糙熵方法

分析了引起粗糙集中不确定性的因素,对已有的测量不确定性的粗糙度与粗糙熵方法进行了比较,提出了一种修正的粗糙熵方法,证明了此粗糙熵的性质,并将基于等价关系的修正粗糙熵拓展到基于一般二元关系下的广义修正粗糙熵,同时给出了广义修正粗糙熵的定义及性质.通过分析和实例可以看出,所提出的修正粗糙熵方法可以用来更合理、更精确地测量粗糙集中的不确定性.     

广义S变换和阈值分割联合抗频谱扩展-压缩移频干扰

根据频谱扩展-压缩(spectrum spread and compression, SSC)移频干扰信号和回波信号时频分布特性的差异,提出一种基于广义S变换和Tsallis交叉熵阈值分割的干扰抑制方法。分析了SSC移频干扰的干扰原理和干扰信号经过解线调后的信号形式,并利用时频聚焦性较好的广义S变换获取接收信号经过解线调后的时频图像,根据时频图像对应的灰度图像,以Tsallis交叉熵最小化作为目标函数,求出灰度图像的最佳分割阈值,并根据分割阈值构建时频滤波器,实现干扰抑制。仿真结果表明:该方法对于SSC移频干扰产生的假目标具有较好的抑制效果,干扰抑制比可达30 dB以上。     

基于属性值为区间数的轰炸机敏感性评估

分析了影响轰炸机敏感性的主要因素,针对敏感性评估中存在的不确定和模糊性,构建了属性值为区间数的轰炸机敏感性评价指标体系,基于改进的区间层次分析法和信息熵法得到了区间数形式的指标权重,利用VIKOR法建立了轰炸机敏感性评估模型,引用心态指标对区间数进行排序择优.通过实例计算,验证了方法的可行性和有效性。结果表明此方法能够考虑决策者主观偏好,评估各方案与正负理想方案的接近程度,计算决策者处于不同心态下不同机型的折衷解,并排序得到决策的最优解,对各方案优劣进行评判,为轰炸机敏感性评估研究提供了参考。     

基于云模型和FAHP熵权的空地弹药效能评估

准确、科学地评估空地弹药的作战效能,对武器装备的设计、研制、试验、采购、作战使用及维护具有重要的意义。充分利用云模型可将定性指标的模糊性和随机性有效结合的特点,构建了空地弹药作战效能的综合云评估模型。针对现有确定指标权重的方法存在主观性较强的不足,提出一种基于模糊层次分析法(FAHP)熵权的权重确定方法,有效利用了主观信息和客观信息。实例分析表明该模型可准确、客观、有效地评估空地弹药的作战效能。     

Fulfillment by Amazon versus fulfillment by seller: An interpretable risk-adjusted fulfillment model

With dual-channel choices, E-retailers fulfill their demands by either the inventory stored in third-party distribution centers, or by in-house inventory. In this article, using data from a wedding gown E-retailer in China, we analyze the differences between two fulfillment choices—fulfillment by Amazon (FBA) and fulfillment by seller (FBS). In particular, we want to understand the impact of FBA that will bring to sales and profit, compared to FBS, and how the impact is related to product features such as sizes and colors. We develop a risk-adjusted fulfillment model to address this problem, where the E-retailer's risk attitude to FBA is incorporated. We denote the profit gaps between FBA and FBS as the rewards for this E-retailer fulfilling products using FBA, our goal is to maximize the E-retailer's total rewards using predictive analytics. We adopt the generalized linear model to predict the expected rewards, while controlling for the variability of the reward distribution. We apply our model on a set of real data, and develop an explicit decision rule that can be easily implemented in practice. The numerical experiments show that our interpretable decision rule can improve the E-retailer's total rewards by more than 35%.     

一种基于视觉的目标舷角实时测量方法

舰船的舷角是鱼雷攻击时的重要参数,同时也是海航避碰中避碰线路确定的计算依据。在基于视觉的识别中,获取目标舰船的舷角即可确定其相对拍摄视角,从而大大缩小在全方位视野特征库中的搜索范围,提高识别速度。然而现有的舷角测量方法均是采用连续跟踪解算实现的,无法实时测量。为解决实时测量的问题,首先推导了基于视觉的目标舰船舷角测量原理,然后针对摄像机倾斜的情况提出基于水天线校正的改进方法,最后通过实验验证,结果表明方法简单易操作、实时性好。     

Securing a border under asymmetric information

We study a stochastic interdiction model of Morton et al. IIE Transactions, 39 (2007):3–14 that locates radiation sensors at border crossings to detect and prevent the smuggling of nuclear material. In this model, an interdictor places sensors at customs checkpoints to minimize a potential smuggler's maximum probability of crossing a border undetected. We focus on a model variant in which the interdictor has different, and likely more accurate, perceptions of the system's parameters than the smuggler does. We introduce a model that is tighter and uses fewer constraints than that of Morton et al. We also develop a class of valid inequalities along with a corresponding separation procedure that can be used within a cutting‐plane approach to reduce computational effort. Computational results demonstrate the effectiveness of our approach.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 91–100, 2014     

A note on signature‐based expressions for the entropy of mixed r‐out‐of‐ n systems

We provide an expression for the Shannon entropy of mixed r‐out‐of‐ n systems when the lifetimes of the components are independent and identically distributed. The expression gives the system's entropy in terms of the system signature, the distribution and density functions of the lifetime model, and the information measures of the beta distribution. Bounds for the system's entropy are obtained by direct applications of the concavity of the entropy and the information inequality.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 202–206, 2014     

Timely exposure of a secret project: Which activities to monitor?

A defender wants to detect as quickly as possible whether some attacker is secretly conducting a project that could harm the defender. Security services, for example, need to expose a terrorist plot in time to prevent it. The attacker, in turn, schedules his activities so as to remain undiscovered as long as possible. One pressing question for the defender is: which of the project's activities to focus intelligence efforts on? We model the situation as a zero‐sum game, establish that a late‐start schedule defines a dominant attacker strategy, and describe a dynamic program that yields a Nash equilibrium for the zero‐sum game. Through an innovative use of cooperative game theory, we measure the harm reduction thanks to each activity's intelligence effort, obtain insight into what makes intelligence effort more effective, and show how to identify opportunities for further harm reduction. We use a detailed example of a nuclear weapons development project to demonstrate how a careful trade‐off between time and ease of detection can reduce the harm significantly.     

A novel signal feature extraction technology based on empirical wavelet transform and reverse dispersion entropy

Feature extraction is an important part of signal processing, which is significant for signal detection, classification, and recognition. The nonlinear dynamic analysis method can extract the nonlinear characteristics of signals and is widely used in different fields. Reverse dispersion entropy (RDE) proposed by us recently, as a nonlinear dynamic analysis method, has the advantages of fast computing speed and strong anti-noise ability, which is more suitable for measuring the complexity of signal than traditional permutation entropy (PE) and dispersion entropy (DE). Empirical wavelet transform (EWT), based on the theory of wavelet analysis, can decompose a complex non-stationary signal into a number of empirical wavelet functions (EWFs) with compact support set spectrum, which has better decomposition performance than empirical mode decomposition (EMD) and its improved algorithms. Considering the advantages of RDE and EWT, on the one hand, we introduce EWT into the field of underwater acoustic signal processing and fault diagnosis to improve the signal decomposition accuracy; on the other hand, we use RDE as the features of EWFs to improve the signal separability and stability. Finally, we propose a novel signal feature extraction technology based on EWT and RDE in this paper. Experimental results show that the proposed feature extraction technology can effectively extract the complexity features of actual signals. Moreover, it also has higher distinguishing ability for different types of signals than five latest feature extraction technologies.     

Ridge regression analysis of the defence‐growth tradeoff in the United States

An examination of past analyses suggests that today's sailors may be less responsive to compensation changes than previous generations. Such a change could make recruiting and retaining high‐quality sailors more difficult. However, variation in researchers' decisions over time may simply have created the appearance of such a change. Our results suggest there is little variation in the pay elasticity over time. In contrast, the different reduced‐form models we use to measure this relationship can explain most of the variation in the literature. Therefore, the evidence suggests that while sailors may have changed over time, their response to compensation has not.     

基于复杂性的战场损伤定位流程评价模型研究

损伤定位流程制定的合理与否是衡量一个评估员水平高低的重要指标之一。对损伤定位流程的评价涉及到所用时间、工具、操作的难度等指标都可以用其复杂性来表示,目前鲜有关于损伤定位流程评价的研究,因此提出战场损伤定位流程的复杂性,并借鉴软件工程领域的程序复杂性量化方法——图熵法对其进行量化。经过数据验证,复杂性与评估时间之间存在较好的拟合关系,并用实例说明了模型的应用效果。     

A cover based competitive facility location model with continuous demand

In this paper we propose and solve a competitive facility location model when demand is continuously distributed in an area and each facility attracts customers within a given distance. This distance is a measure of the facility's attractiveness level which may be different for different facilities. The market share captured by each facility is calculated by two numerical integration methods. These approaches can be used for evaluating functional values in other operations research models as well. The single facility location problem is optimally solved by the big triangle small triangle global optimization algorithm and the multiple facility problem is heuristically solved by the Nelder‐Mead algorithm. Extensive computational experiments demonstrate the effectiveness of the solution approaches.     

Defense Spending and Economic Growth: Some Empirical Evidence from the Arab Gulf Region

The present paper investigates the causal relationship between defense spending and economic growth in six Gulf countries for the period 1975-1998. I use Granger-causality test within a multivariate error-correction framework to explore the existence and direction of causality between these two variables. The empirical results indicate that neither growth nor defense can be considered exogenous and that the relationship between them cannot be generalized across countries. Two implications can be derived from these findings. One is the need for more studies, especially from developing countries, using time-series data. The other is that decisions on defense spending should be based on each country's socio-economic circumstances. Given the small sample size, however, caution is advised in considering the above results and their implications as final.     

基于LMD频域近似熵频谱感知算法研究

针对现有频域近似熵频谱感知技术在低信噪比条件下抗噪声性能和检测性能有待提升的问题,提出了一种基于LMD频域近似熵的频谱感知算法。(1)算法筛选出3个PF分量累加求和,使得算法提取局部调频包络特征信息得到最优,进一步排除噪声不确定度的影响。(2)算法对累加PF分量进行频域变换后求其近似熵,增强算法对频域信息的嗅探能力,提升算法检测性能。Monte Carlo仿真结果表明,在噪声不确定度为0dB,采样点数为8 000的情况下,当信噪比大于-19 d B时,可以对2ASK信号达到100%的检测概率,与现有频域近似熵算法相比,检测性能约有17 d B的提升。     

结构方程模型参数估计的GME方法

提出应用广义最大熵的方法对结构方程模型的参数进行估计,该方法能够处理有限的或者不完全数据。为了验证广义最大熵方法在估计结构方程模型参数时的性能,采用了一个应用于美国顾客满意指数(ACSI)的结构方程模型生成仿真数据,仿真结果表明,与PLS相比,GME方法具有更高的拟合精度和较低的预测误差,在样本数据较少时,表现更为明显。     

Statistical concepts in computational mathematics

For a young science and even for most old ones, the intensity and variety of activities involved in computer science are unsurpassed. In an effort to provide the extremely varied training needed in the field, curriculum planners have tended to slight probability and statistics. Rarely has it been a requisite and only occasionally a desired elective However, not only is an adequate foundation in probability and statistics necessary for such external computer applications as tracking and other data reduction, Monte Carlo techniques, gaming, operations research, traffic analyses, etc., but it also plays an important role in internal applications to computer science and technology This effort in Rand's continuing study of computational mathematics and its applications offers a number of examples in various areas of computational mathematics and computing machine arithmetic-to say nothing of computer design, time sharing, and the like-to support the thesis that probability and statistics should be a requisite, not simply an elective or, even worse, ignored, at any institution offering a program in computer science. Further more, a potentially profitable source of research problems can be found in the interface between probability and statistics and computer science.     

Poland's national potential and its international position within the European Union – research remarks

This article examines Poland's national potential and its international position within the European Union (EU) with respect to security issues. It presents research results based on a comparison of Poland's national potential as it relates to other EU countries, which is useful when evaluating Poland's power within the EU. The article also evaluates Poland's crisis potential, i.e. it identifies those factors that may potentially be treated as threats to national and regional security. Finally, it enables the identification of challenges to Poland's security in the second decade of the twenty-first century. The research is conducted according to a multidimensional comparative analysis, which is perceived by the author as the best available to measure a country's power despite its weaknesses.     

Predictability of operational processes over finite horizon

Operational processes are usually studied in terms of stochastic processes. The main information measure used for predictability of stochastic processes is the entropy rate, which is asymptotic conditional entropy, thus not suitable for application over a finite horizon. We use the conditional entropy to study the predictability of stochastic processes over the finite horizon. It is well‐known that the conditional entropies of stationary processes decrease as the processes evolve, implying that, on average, their pasts become more informative about prediction of their future outcomes. Some important operational processes such as martingale, models for maintenance policies, nonhomogeneous Poisson, and mixed Poisson processes are nonstationary. We show that as a nonstationary process evolves, it may provide more information or less information about the future state of the system. We develop results for comparing the predictability of stochastic processes. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Analysis of parameter estimation using the sampling-type algorithm of discrete fractional Fourier transform

Parameter estimation is analyzed using two kinds of common sampling-type DFRFT (discrete fractional Fourier transform) algorithm. A model of parameter estimation is established. The factors which influence estimation accuracy are analyzed. And the simulation is made to verify the conclusions. From the theoretic analysis and simulation verification, it can be drawn that, for the estimation of chirp-rate and initial frequency, Pei's method [10] is more suitable if the absolute value of chirp-rate is small relatively; Ozaktas' method [9] is more suitable if the absolute value of chirp-rate is large relatively; and the two methods are both workable if the absolute value of chirp-rate is moderate. The scope of moderate chirp-rate can be approximately determined as [40 Hz/s, 110 Hz/s].