基于指标分类权重与未确知测度的装备战场损伤等级评估模型

成功的战场抢修是战斗力的"倍增器",而快速、准确的战场损伤评估是战场抢修决策和战场态势预测的前提.针对战场损伤评估中的未确知性,首先引入专家可信度对指标值进行处理;其次,通过指标本身输出的信息熵客观地确定指标的分类权重;接着在未确知数学理论及算法基础上给出了一种新的装备战场损伤等级评估模型,最后对某火炮的战损等级情况进行评判.结果表明:模型不仅能够组合多个损伤因素的估计问题,而且能够处理由不确定性信息导致的未确知性,并给出未知信息的置信度,较准确地反映了装备战场损伤程度,是装备战场损伤等级评估的一种有效工具.     

基于较优方案最大区别度的组合权重赋值法

现有多方案决策中的指标权重计算方法可能产生评价结果中较优方案不突出的难题,进而提出了一种新的方法——基于较优方案最大区别度的组合权重赋值法.方法可根据方案间区别度最大的原则将主观赋权法和客观赋权法中所确定的指标权重进行集结,综合考量待评方案,并建立多方案决策结果最大化和决策结果间方差最大化非线性优化模型,采用理想点法对具体的多目标规划问题进行求解.方法的运用有利于扩大备选方案之间的差距,进而突出较优方案,最后通过实例说明了该方法的优越性.     

具有常数行重的一类d-析取矩阵的界

首先介绍了辛空间上子空间的一些包含性质,利用这些性质构作了一类具有常数行重的dλ-析取矩阵,然后给出了这类矩阵相关参数的界.     

差分—等级依赖效用模型研究

等级依赖效用模型在决策权重设置上存在理论缺陷;差分-等级依赖效用模型在有限理性假设下,考虑结果差分变化对决策权重的影响,提出基于差分的决策权重与概率权重的组合权重控制机制,可克服等级依赖效用模型的缺陷;针对差分-等级依赖效用模型的检验表明模型可很好解释拆分效应;差分-等级依赖效用模型保持了等级依赖效用模型的理论框架,可对人们的风险决策行为做出更好的解释和预测.     

Uniform bound of Sobolev norms of solutions to 3D nonlinear wave equations with null condition

This article concerns the time growth of Sobolev norms of classical solutions to the 3D quasi-linear wave equations with the null condition. Given initial data in H^s×H^s−1$H^s\times H^{s-1}$ with compact supports, the global well-posedness theory has been established independently by Klainerman [13] and Christodoulou [3], respectively, for a relatively large integer s  . However, the highest order Sobolev energy, namely, the H^s$H^s$ energy of solutions may have a logarithmic growth in time. In this paper, we show that the H^s$H^s$ energy of solutions is also uniformly bounded for s?5$s?5$. The proof employs the generalized energy method of Klainerman, enhanced by weighted L²$L^2$ estimates and the ghost weight introduced by Alinhac.     

Effect of glycerol and its analogs on polyhydroxyalkanoate biosynthesis by recombinant Ralstonia eutropha: A quantitative structure–activity relationship study of chain transfer agents

Triglycerides such as plant and vegetable oils are desirable feedstock for the fermentative production of polyhydroxyalkanoate (PHA) because the weight yield of PHA from triglycerides is higher than that obtained from sugars. However, glycerol, a multi-hydroxy component of triglyceride, is known to function as a chain transfer (CT) agent in PHA polymerization, resulting in the formation of low-molecular-weight PHA. In this study, we evaluated how glycerol alters the molecular weight of PHA using recombinant Ralstonia eutropha as a practical host for PHA production. We demonstrated that glycerol has the ability to reduce molecular weight of PHA, even as a component of triglyceride. Furthermore, various alcohols that are structurally related to glycerol were examined for their reducing abilities to perform a quantitative structure–activity relationship (QSAR) study. It was found that alcohols with higher hydrophobicity (log P) exhibited higher reducing ability for PHA molecular weight. Glycerol, a less hydrophobic alcohol, was able to reduce PHA molecular weight; however, the efficacy was relatively weak among the examined alcohols.     

Effect of Molecular Weight on the Interfacial Dilational Viscoelasticity of Anionic Polyelectrolyte/Surfactant Systems

In this article, the effect of molecular weight on the interfacial tension and interfacial dilational viscoelasticity of polystyrene sulfonate/surfactant adsorption films at the water-octane interface have been studied by spinning drop method and oscillating barriers method respectively. The experimental results show that different interfacial behaviors can be observed in different type of polyelectrolyte/surfactant systems. PSS/cationic surfactant CTAB systems show the classical behavior of oppositely charged polyelectrolyte/surfactant systems and can be well explained by electrostatic interaction. Molecular weight of PSS plays a crucial role in the nature of adsorption film. The complex formed by CTAB and higher molecular weight PSS, which has larger dimension and stronger interaction, results in higher dilational modulus at lower surfactant bulk concentration. In the case of PSS/anionic surfactant SDS systems, the co-adsorption of PSS at interface through hydrophobic interaction with alkyl chain of SDS leads to the increase of interfacial tension and the decrease of dilational modulus at lower surfactant bulk concentration. For PSS/nonionic surfactant T × 100 systems, PSS may form a sublayer contiguous to the aqueous phase, which has little effect on interfacial tension but slightly decreases dilational modulus.     

Evaluation of nanotribological behavior of amorphous polystyrene: The macromolecular weight effect

Tribological testing of polymers is of prime importance in many industrial applications. Silicon nitride AFM tips have been used to mimic the contact between amorphous polystyrene surfaces and a hard asperity, which is useful in understanding of how a multitude of asperities behave in a macroscopic contact. In this study, the adhesion force and the friction force of four PS molecular weights were measured and the average contact pressure was calculated by using the JKR contact theory. The nanotribological behavior of polystyrene showed a dependence on macromolecular weight with varying applied normal force and sliding velocity. The study indicates that the length of polymer chains noticeably influences the tribological behavior of amorphous polystyrenes. Mechanisms governing such behavior differences were ascribed to energy dissipating modes.