属性区间识别理论模型研究及其应用

根据程乾生教授创立的属性识别理论模型[1] ,提出了属性测度区间的概念 ,建立了属性区间识别理论模型 ,并在自然科学学术期刊质量评价中进行了应用 .     

基于错误逻辑矩阵的错误识别对象分类及应用研究

研究了错误识别对象的概念和特征,并选取七个特征组合建立了错误识别对象的错误逻辑矩阵表达式,讨论了错误识别对象的类型.最后,结合石塑地板产品质检过程,对于所进行检验的每一片石塑地板建立错误识别的对象逻辑矩阵,通过错误函数求错误值,识别错误的石塑地板对象,并根据错误石塑地板对象特征分类,采用相应的消避错方法进行运算和处理.     

多重均衡选择中的风险占优与混合策略

均衡选择理论是博弈理论的重要组成部分.风险占优均衡是人们经济决策或行为的一个主要结果.利用混合策略及其性质和“抵制”的概念,“支持”了海萨尼和泽尔腾用公理定义的风险占优概念,且具体给出了识别风险占优均衡的标准和方法,并把它们推广到对称博弈中去.最后对均衡占优的直觉概念和风险占优相冲突的一些博弈进行了类似的讨论.     

环境自然激励下一种结构损伤在线识别方法

提出了一种环境自然激励下工程结构损伤识别方法,该法仅仅通过结构的输出数据识别结构的损伤．首先在结构完好的情况下,通过结构的输出数据识别外部统计参数;然后在结构损伤情况下,通过结构的输出数据识别结构的损伤分布函数．给出了识别结构损伤的理论模型和计算方法．数值仿真结果表明,该方法具有较高的辨别率和计算精度,能够使用在桥梁和建筑的健康监测中．     

雷达船目标的模糊智能识别

模糊集理论和技术给复杂的模糊背景下的模式识别问题提供了一种简易有效的处理手段。基于模糊集理论,定量地分析和处理识别过程中的各种不确定性信息,以提高识别系统的可靠性和智能度,便是我们研究舰船雷达目标识别系统中识别算法的一重要内容。本文通过舰船雷达目标识别这一典型的模糊模式识别问题,系统地论述了模糊模式识别系统的一般性框架、模糊特征抽取和隶属函数的建立、模糊特征选择和匹配分类、层次化模糊分类系统构造等一系列关键性问题。本文提出的各种方法具有通用性,已建立的识别系统在试验中具有良好的目标识别能力。     

区域创新能力的F-聚类和F-识别研究——以河南省地市为例

根据河南省2017年统计数据,应用F-分析法对河南省11个地市区域创新能力进行聚类分析,验证了以专利授权数和发表论文数作为衡量区域创新能力指标的合理性;提出标准模型库的概念,构建F-识别模型,借助格贴近度和最大隶属原则,为其它城市区域创新能力的归类和识别提供了一种新的参考方法.     

子图识别的层分解方法

子图识别问题(SRP)就是在一个图G中确定并寻找是否存在和另一个图H相同构的子图．本文将引入图的层分解概念，并以此为基础建立识别图的同构子图的算法．该算法的复杂性为O(n(△-1)^k-1)，其中△是图G的度，即G中点的最大度，n，k分别是图G，H的阶．     

Fuzzy有理语言与Fuzzy有限态自动机的关系

引入了fuzzy有理语言的概念,得到了∑+的子集可识别当且仅当有理的.从而揭示了fuzzy有理语言与fuzzy有限态自动机语言的关系.     

转点识别的稳定性

将假设检验的稳定性[1]引入到转点识别中来,考虑了转点识别在正态假设下的稳定性问题.结果显示,转点的N-P检验稳定性不很理想.     

DNA中的数据挖掘和启动子识别

直接从序列水平识别启动子（Promoter）有重要的学术价值和可观的经济价值。但是一直没有一个第一、二类错误都小于30％的识别软件。在统计基础上，本文指出了简单利用权重矩阵或保守序列识别启动子的传统方法效果不佳的原因，提出了以转录因子结合位点（Transfactor Binding Sites,TFBSs)的相互作用的信息为基础的启动子识别模型；本文首次指出了7－tuple在启动子识别中的重要作用，提出了无需TFBSs数据库的自学习方法。本文给出了基于上述思想进行的一些统计，并设计了一套启动子识别方法。其在多个检测集上的平均识别结构为：第一类错误小于24％，第二类错误小于21％；最差识别结果为：第一类错误26％，第二类错误24％。     

New linear spring stiffness definition for displacement analysis of cracked beam elements

The paper describes the reasons for the derivation of a new definition of a rotational spring that can be utilised in the simplified computational model for the computation of transverse displacements of cracked beam structures due to transverse load. This definition plays an extremely important role in the inverse identification of cracks. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Identifying the anchor points in DEA using sensitivity analysis in linear programming

In this paper, the anchor points in DEA, as an important subset of the set of extreme efficient points of the production possibility set (PPS), are studied. A basic definition, utilizing the multiplier DEA models, is given. Then, two theorems are proved which provide necessary and sufficient conditions for characterization of these points. The main results of the paper lead to a new interesting connection between DEA and sensitivity analysis in linear programming theory. By utilizing the established theoretical results, a successful procedure for identification of the anchor points is presented.     

A set oriented definition of finite-time Lyapunov exponents and coherent sets

The problem of phase space transport, which is of interest from both the theoretical and practical point of view, has been investigated extensively using geometric and probabilistic methods. Two important tools to study this problem that have emerged in recent years are finite-time Lyapunov exponents (FTLE) and the Perron–Frobenius operator. The FTLE measures the averaged local stretching around reference trajectories. Regions with high stretching are used to identify phase space transport barriers. One probabilistic method is to consider the spectrum of the Perron–Frobenius operator of the flow to identify almost-invariant densities. These almost-invariant densities are used to identify almost invariant sets. In this paper, a set-oriented definition of the FTLE is proposed which is applicable to phase space sets of finite size and reduces to the usual definition of FTLE in the limit of infinitesimal phase space elements. This definition offers a straightforward connection between the evolution of probability densities and finite-time stretching experienced by phase space curves. This definition also addresses some concerns with the standard computation of the FTLE. For the case of autonomous and periodic vector fields we provide a simplified method to calculate the set-oriented FTLE using the Perron–Frobenius operator. Based on the new definition of the FTLE we propose a simple definition of finite-time coherent sets applicable to vector fields of general time-dependence, which are the analogues of almost-invariant sets in autonomous and time-periodic vector fields. The coherent sets we identify will necessarily be separated from one another by ridges of high FTLE, providing a link between the framework of coherent sets and that of codimension one Lagrangian coherent structures. Our identification of coherent sets is applied to three examples.     

基于一种新的集合插值的非凸紧集的细分概型

对A rtstein给出的度量平均的定义作了改进,给出一种新的集合插值,并基于这种新的集合插值,对相应的关于一般紧集的样条细分和插值细分分别作了研究,并给出了细分的收敛性性质.与此同时,将这种新的集合插值与基于度量平均的插值及基于M inkow sk i平均的插值分别作了比较,可以看出新的集合插值在某些方面具有更好的物理性质.     

向量交换矩阵一种新的定义及应用

利用单位矩阵和基本向量给出了向量交换矩阵的一种较以往表述简单的新的定义.基于新的定义证明了向量交换矩阵的性质.给出了新定义与原有定义的等价性的证明.最后给出了矩阵克罗内克积奇异值的一个新的结论.     

On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints

A class of new affine-scaling interior-point Newton-type methods are considered for the solution of optimization problems with bound constraints. The methods are shown to be locally quadratically convergent under the strong second order sufficiency condition without assuming strict complementarity of the solution. The new methods differ from previous ones by Coleman and Li [Mathematical Programming, 67 (1994), pp. 189–224] and Heinkenschloss, Ulbrich, and Ulbrich [Mathematical Programming, 86 (1999), pp. 615–635] mainly in the choice of the scaling matrix. The scaling matrices used here have stronger smoothness properties and allow the application of standard results from non smooth analysis in order to obtain a relatively short and elegant local convergence result. An important tool for the definition of the new scaling matrices is the correct identification of the degenerate indices. Some illustrative numerical results with a comparison of the different scaling techniques are also included.     

Fuzzy Transitive Relations

A modified definition of fuzzy transitivity is given.Several properties of this new definition are obtained.Effect of these new properties of transitivity on equivalence relations is also studied.     

A modification of the certainty measure to handle subnormal distributions

We suggest a modification of the definition of certainty associated with a possibility distribution so that we are assured that the certainty measure is always less than or equal to the possibility measure even in the face of subnormal distributions. We note that when the possibility distribution is normal this new definition reduces to the original definition of certainty. We use this new measure along with the definition of possibility measure to obtain measures of belief and plausibility in the fact of fuzzy information in the Mathematical Theory of Evidence.     

Consistency analysis of triangular fuzzy reciprocal preference relations

In order to simulate the uncertainty associated with impression or vagueness, a decision maker may give her/his judgments by means of triangular fuzzy reciprocal preference relations in the process of decision making. The study of their consistency becomes a very important aspect to avoid a misleading solution. Based on the reciprocity property, this paper proposes a new definition of consistent triangular fuzzy reciprocal preference relations. The new definition is different from that reduced by consistent fuzzy reciprocal preference relations proposed by Buckley (1985). The properties of consistent triangular fuzzy reciprocal preference relations in the light of the new definition are studied in detail. In addition, the shortcomings of the proof procedure of the proposition given by Wang and Chen (2008) are pointed out. And the proposition is reproved by using the new definition of consistent triangular fuzzy reciprocal preference relations. Finally, using the (n − 1) restricted comparison ratios, a method for obtaining consistent triangular fuzzy reciprocal preference relations is proposed, and an algorithm is shown to make a consistent decision ranking. Numerical results are further calculated to illustrate the new definition and the obtained algorithm.     

Extension of Henrici's method to matrix sequences

In this paper we generalize the definition of linear convergence to matrix sequences. This new definition is used to establish some new results useful to study the new extension of Henrici's method. A convergence theorem, an algorithm for implementation of this method and some numerical examples are given.