轮图与扇图的对策着色

讨论了图的二人对策着色和放松对策着色,给出了轮图与扇图的对策色数与放松对策色数.     

关于积分中值定理的探讨

对积分中值定理中的存在点ζ取值区间进行了补充和论证,并讨论了修正后的中值定理应用.     

发动机磨合质量及工艺水平分析与研究

讨论和分析了零件在寿命期内动配合副表面特性的变化和磨损量对运行储备的影响,并通过研究表明,在其他条件相同的情况下,磨损率取决于间隙增长率,而间隙增长率取决于动配合的间隙值,并提出了磨合最佳规范及工艺条件.     

Rough function model and rough membership function

Two pairs of approximation operators, which are the scale lower and upper approximations as well as the real line lower and upper approximations, are defined. Their properties and antithesis characteristics are analyzed. The rough function model is generalized based on rough set theory, and the scheme of rough function theory is made more distinct and complete. Therefore, the transformation of the real function analysis from real line to scale is achieved. A series of basic concepts in rough function model including rough numbers, rough intervals, and rough membership functions are defined in the new scheme of the rough function model. Operating properties of rough intervals similar to rough sets are obtained. The relationship of rough inclusion and rough equality of rough intervals is defined by two kinds of tools, known as the lower （upper） approximation operator in real numbers domain and rough membership functions. Their relative properties are analyzed and proved strictly, which provides necessary theoretical foundation and technical support for the further discussion of properties and practical application of the rough function model.     

基于Bayes近似限法的串联系统置信区间的求解

运用基于Bayes的方法对红外空空导弹进行抗干扰性能评估时,只能分别得到导引头和导弹控制系统的抗干扰概率P<,g>、P<,c>及其置信区间,而难以求出导弹复杂系统的抗干扰概率在一定的置信度下的置信区间.针对该问题,提出用Bayes近似限的方法拟合导弹导引头、控制系统的整个串联系统的抗干扰概率的分布,得出该复杂系统的置信度为y的近似置信区间的求解公式,并给出导弹串联系统数字仿真中抗干扰概率的置信区间的求解实例,对该求解方法的正确性进行了验证.     

Interval Time Series Analysis with an Application to the Sterling-Dollar Exchange Rate

Traditional econometrics has long employed ＂points＂ to measure time series data. In real life situations, however, it suffers the loss of volatility information, since many variables are bounded by intervals in a given period. To address this issue, this paper provides a new methodology for interval time series analysis. The concept of ＂interval stochastic process＂ is formally defined as a counterpart of ＂stochastic process＂ in point-based econometrics. The authors introduce the concepts of interval stationarity, interval statistics （including interval mean, interval variance, etc.） and propose an interval linear model to investigate the dynamic relationships between interval processes. A new interval-based optimization approach for estimation is proposed, and corresponding evaluation criteria are derived. To demonstrate that the new interval method provides valid results, an empirical example on the sterling-dollar exchange rate is presented.     

串联系统精确置信下限计算和奇点消除

本文通过对廖炯生提出的ＩＵＭＶＥ法的变差系数公式进行校正,重新对二部件串联系统的可靠性置信下限进行了计算,不仅消除掉大部分非正常点,而且也使计算结果更加合理,但仍存在着９个非正常点。我们利用系统的等价试验信息来消除非正常点,获得了令人满意的结果。     

民族自信心的重建与中国特色社会主义文化建设

基于当代中华民族伟大复兴需要重建民族自信心这一背景,本文从理论上梳理了民族自信心与文化建设的功能性关系,在此基础上,提出和论证了重建当代中华民族自信心只能通过建设中国特色社会主义文化来实现的命题,文章最后介绍和总结了改革开放以来中国特色社会主义文化建设重建民族自信心的成就和经验。     

无约束min-max-min问题的区间斜率方法

区间斜率方法已应用于解决全局优化问题,且得到了较好的结果。讨论目标函数为因子函数的离散无约束min-max-min问题,利用区间斜率,构造目标函数的区间扩张和区间斜率删除原则,建立了求解离散无约束min-max-min问题的区间斜率算法,并给出了数值算例。相关结论和数值结果都表明:该方法可以同时求出问题的最优值和全部全局最优解,是可靠和有效的。     

一类连续型minimax问题的区间斜率算法

讨论了目标函数为一阶连续可微的无约束连续型minimax问题的区间算法.利用连续型极大熵函数和区间斜率法,通过建立区间扩张和无解区域删除检验原则,构造了求解连续型minimax问题的区间斜率算法,证明了算法的收敛性,并给出了数值算例.相关结论和数值结果都表明,其方法是可靠和有效的.