基于区间层次分析法的网络安全评估研究

针对网络安全评估存在的不确定性,提出了一种新的基于区间层次分析法的网络安全评估方法.首先建立了多层次的网络安全评估指标体系,然后利用区间层次分析法确定了网络安全评估指标的区间数权重.在此基础上,结合区间数理论建立了基于区间层次分析法的网络安全评估模型.最后结合评估实例对某公司办公自动化网络进行了安全评估,验证了方法的可行性和有效性.     

基于Monte Carlo仿真的小概率事件评估算法稳定性研究

应用极值理论对小概率事件进行评估的过程中,运用仿真的方法突破了客观条件对评估样本数量的限制,样本选取数量与评估概率的关系以及极值风险评估算法稳定性是亟待讨论的理论难点问题.以飞行风险为研究对象,分析了对评估稳定性造成主要影响的随机性因素,建立了用于稳定性分析的综合考虑“物理特性”和“随机特性”的典型人-机系统仿真模型.根据仿真评估结果,归纳了评估概率随样本数量的变化规律和Monte Carlo仿真对评估稳定性的影响,提出了合理选取样本数量和评估次数的方法.研究内容可为提高小概率事件评估的稳定性、减小评估误差提供参考和借鉴.     

基于可变模糊集理论的城市用地适用性评估

依据可变模糊集理论,构造了城市用地适用性评估的相对差异函数模型和相对隶属函数模型,建立了求解综合相对隶属度的可变模糊评估模型,并应用该模型对2组待开发利用用地适用性进行了评估.研究表明:可变模糊评估是依据对立相对隶属函数来描述模糊概念,通过参数的可变性,自我验证可变模糊评估方法的可靠性,并通过级别特征值表达了评估对象属于某级别的程度,使评估结果更为精细,从而为城市用地适用性评估提供了一种有效的新方法.     

基于犹豫模糊集的CMMI过程评估方法研究

CMMI过程评估是一个典型的多属性决策问题,评估环节采用主任评估师负责制,已有的评估方法得到的结果受到企业的争议.论文从CMMI评估中多个专家参与,专家意见不一致等固有特征出发,在评估中引入犹豫模糊集的思想,将专家打分转换为犹豫模糊值进行计算.基于指标提取、专家打分、数据处理、数据补齐、数据集结等几个环节设计了CMMI过程评估,通过案例计算,得到了客观科学的评估结果.将犹豫模糊集引入到CMMI过程评估中,一方面为CMMI过程评估提供了新的思路和方法,另一方面也拓展了犹豫模糊集的应用领域.     

基于集团序的河南省地市级政府网站绩效评估结果的分析

中国政府网站绩效评估已经走过了10年的发展历程,总结以往的评估结果是为了更好地评估,更好地做好政府网站的建设.提取了第十届河南省地方政府网站评估的结果,对评估方法以及评估结果的有效性进行了分析,提出基于属性的不完全补偿性,应该采取加权积方法而非加权和方法,并运用该方法得到了新的评估结果.为了弥补两种方法带来的差异性,提出借助集团序方法进行结果排序,并通过确定不同的级内级差得到了满意的集团排序结果.     

基于文本挖掘和AHP-Fuzzy模型的机坪管制运行状况评估

国内大部分机场已实行了机坪管制移交工作.目前尚无一套较为完善的评估体系,对机坪管制运行效果进行量化评估.采用文本挖掘方法,提取文本数据的高频词作为评价指标的来源,构建了机坪管制运行状况评估指标体系;建立了AHP-Fuzzy模型并评估A机场的机坪管制运行现状,评估结果显示良好;通过对比专家权重的结果,发现与本模型评估结果...     

基于支持向量机和领域知识的纳税评估预警模型

纳税评估是税务稽查的基础和前提,运用科学、合理的评估手段,降低评估风险和成本,提高纳税评估工作的整体效率和效果,成为纳税评估工作的关键问题.在总结纳税评估基本原理的基础上,针对企业的纳税评估问题构建了评估指标体系,提出了将支持向量机(SVM)和领域知识结合建立纳税评估预警模型的方法,首先利用SVM筛选出有涉税疑点的企业,然后在领域知识的指导下结合统计分析方法,进一步找出可疑对象偏离正常统计值的指标,解决了预警模型无疑点指向性的问题,实证分析表明该方法具有较高的可行性.     

绩效评估下员工行为的数学模型

在绩效评估的管理体制下,组织希望员工努力工作,使得组织的绩效最大;员工则考虑在评估机制下,如何分配精力,使得自己的效益最大,这两者往往并不一致,从而构成了在绩效评估下的主从博弈.建立了绩效评估下的主从博弈模型,研究了最优解的结构;利用双层规划求解,得到Stackelberg均衡.以高校教师的绩效评估为例,验证了模型的合理性与有效性,为完善绩效评估提出了建议.     

基于AHP-Fuzzy方法的工业生产安全综合应急演练评估

针对工业生产安全领域内综合应急演练涉及的演练内容广泛、科目繁杂,评估工作难度较大等问题,提出建立演练评估层次指标体系,利用层次分析法确定各指标权重,结合模糊数学理论,应用模糊综合评估法实现应急演练定量化评估的技术.应用AHP-Fuzzy方法对某大型国有企业成品油库综合应急演练进行了评估,验证了评估方法的可行性.     

动态条件下基于粗糙集的平衡记分卡模型及算法研究

传统的供应链绩效评估方法大多属于静态评估，而实际的供应链是一个动态系统，因此需要使用动态绩效评估方法来进行考量。为了适应动态联盟整体绩效评估之需要，把传统的四维平衡计分卡扩展为五维动态平衡计分卡。在此基础上建立了供应链动态绩效评估决策表，并利用粗糙集理论对决策表进行了属性约简和值约简，从而得到了预测绩效评估结果的决策规则集。仿真实验表明，提出的基于粗糙集理论的供应链动态绩效评估方法能够有效地给出动态供应链绩效评估结果及发展趋势，为供应链的合理分析和决策制定提供依据。     

Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance

We study the asymptotic behavior at large time of a solution to a system of nonlinear integro-differential equations which arises in mathematical modeling of diffusion of a magnetic field into a substance. We establish the corresponding stabilization rate.     

Symmetry-based solution of a model for a combination of a risky investment and a riskless investment

Benth and Karlsen [F.E. Benth, K.H. Karlsen, A note on Merton's portfolio selection problem for the Schwartz mean-reversion model, Stoch. Anal. Appl. 23 (2005) 687-704] treated a problem of the optimisation of the selection of a portfolio based upon the Schwartz mean-reversion model. The resulting Hamilton-Jacobi-Bellman equation in 1+2 dimensions is quite nonlinear. The solution obtained by Benth and Karlsen was very ingenious. We provide a solution of the problem based on the application of the Lie theory of continuous groups to the partial differential equation and its associated boundary and terminal conditions.     

Motion of a container as a nonholonomous system in a curved section of a horizontal pipeline

The problem of the motion of a container in a curved section of a horizontal pipeline is solved using second-order Lagrange equations in the presence of nonholonous couplings. The special case of the motion of a container in a circular curve is examined.Translated from Matematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 25, pp. 90–95, 1987.     

Fast computation of a rational point of a variety over a finite field

We exhibit a probabilistic algorithm which computes a rational point of an absolutely irreducible variety over a finite field defined by a reduced regular sequence. Its time-space complexity is roughly quadratic in the logarithm of the cardinality of the field and a geometric invariant of the input system. This invariant, called the degree, is bounded by the Bézout number of the system. Our algorithm works for fields of any characteristic, but requires the cardinality of the field to be greater than a quantity which is roughly the fourth power of the degree of the input variety.

     

On continuation of a topology from a system of generators of a group to a topology on the group

In this paper we establish conditions under which a topology is continued from a subset of a group to a topology on the group coordinated with the group operation.     

An Asymptotic Expansion of a Solution of a Nonlinear Equation for a Steady Flow of a Stratified Fluid

We consider the problem of the two-dimensional motion of a nonviscous incompressible fluid in the field of gravity. To calculate the flow field, we use the method of the asymptotic expansion of the solution with respect to a small parameter. The constructed algorithm allows one to obtain a picture of the flow functions for the exact (nonlinear) problem of a perturbed flow of a stratified fluid. The main limitations of the algorithm are the absence of backflow zones (rotors) and a large typical horizontal size of the solution as compared with the depth of the flow. We give results of the calculations.     

Construction of a Formula from a Syntactic Graph of a Sentence

The paper considers the construction of formulas describing relations between entities from a Russian sentence. We describe rules which help constructing such formulas from a syntax graph.     

Refinement of a criterion for superfluidity of a classical liquid in a nanotube

The problem has a large parameter, the number N of particles (outside the condensate), and a small parameter, Planck’s constant ħ (more precisely, a dimensionless parameter containing ħ in the numerator). They turn out to be interrelated for Bose particles. Using the exact solution of the variational equation for a bosonic system in a capillary, we can obtain precise criteria restricting the superfluidity of a classical liquid in the capillary. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 3, pp. 524–528, June, 2008.     

Optimal construction of a selection of a subpopulation

Summary The problem of selecting a subpopulation from a given populationII is to be, on the basis of measurements of members ofII, achieved by choosing those members ofII who satisfy the standards determined by a given selection cirterion and rejecting those who do not. Since the optimum selection depends on the unknown parameter of the probability distribution ofII, it is here considered how to construct a decision function from the space of subsidiary sample having infor-mation on θ to the space of selections. Thus the existence of Bayes and minimax decision functions under the constraint defined by the selection criterion is proved. A necessary and sufficient condition for a decision function satisfying the constraint to be a Bayes decision function is also obtained. The Institute of Statistical Mathematics     

Spectral properties of a Hamiltonian of a four-particle system on a lattice

We consider the Hamiltonian of a system of four arbitrary quantum particles with two-particle contact (noncompact) interaction potentials on a three-dimensional lattice perturbed by three-particle contact potentials. We describe the location of the essential spectrum of the Schrödinger operator corresponding to a four-particle system.