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A general model for statistical analysis using fuzzy sets: Sufficient conditions for identifiability and statistical properties 用模糊集进行统计分析的一般模型:可辨识性和统计性质的充分条件
Pub Date : 1994-05-01 DOI: 10.1016/1069-0115(94)90007-8
Max A. Woodbury, Kenneth G. Manton, H.Dennis Tolley

Fuzzy sets and fuzzy state modeling require modifications of fundamental principles of statistical estimation and inference. These modifications trade increased computational effort for greater generality of data representation. For example, multivariate discrete response data of high (but finite) dimensionality present the problem of analyzing large numbers of cells with low event counts due to finite sample size. It would be useful to have a model based on an invariant metric to represent such data parsimoniously with a latent “smoothed” or low dimensional parametric structure. Determining the parameterization of such a model is difficult since multivariate normality (i.e., that all significant information is represented in the second order moments matrix), an assumption often used in fitting the most common types of latent variable models, is not appropriate. We present a fuzzy set model to analyze high dimensional categorical data where a metric for grades of membership in fuzzy sets is determined by latent convex sets, within which moments up to order J of a discrete distribution can be represented. The model, based on a fuzzy set parameterization, can be shown, using theorems on convex polytopes [1], to be dependent on only the enclosing linear space of the convex set. It is otherwise measure invariant. We discuss the geometry of the model's parameter space, the relation of the convex structure of model parameters to the dual nature of the case and variable spaces, how that duality relates to describing fuzzy set spaces, and modified principles of estimation.

模糊集和模糊状态建模需要修改统计估计和推理的基本原理。这些修改以增加的计算工作量换取更普遍的数据表示。例如,高(但有限)维的多变量离散响应数据,由于样本量有限,在分析具有低事件计数的大量单元时存在问题。有一个基于不变度量的模型,用潜在的“平滑”或低维参数结构简洁地表示这些数据将是有用的。确定这样一个模型的参数化是困难的,因为多元正态性(即,所有重要信息都在二阶矩矩阵中表示)是不合适的,这是一个经常用于拟合最常见类型的潜在变量模型的假设。我们提出了一个模糊集模型来分析高维分类数据,其中模糊集的隶属度等级的度量是由隐凸集确定的,在隐凸集内,离散分布的矩可以表示为J阶。该模型基于模糊集参数化,利用凸多面体[1]上的定理,证明了该模型仅依赖于凸集的封闭线性空间。它是测度不变的。我们讨论了模型参数空间的几何结构,模型参数的凸结构与情况和变量空间的对偶性质的关系,对偶性如何与描述模糊集合空间有关,以及改进的估计原则。
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引用次数: 31
On fragmentation approaches for distributed database design 分布式数据库设计中的碎片化方法
Pub Date : 1994-05-01 DOI: 10.1016/1069-0115(94)90005-1
Yanchun Zhang, Maria E. Orlowska

In this paper, two-phase horizontal partitioning of distributed databases is addressed. First, primary horizontal fragmentation is carried out on each relation based on the predicate affinity matrix and the bond energy algorithm. This is an application of a vertical partitioning algorithm to the horizontal fragmentation problem. Second, the derived horizontal fragmentation is further performed by considering information related to the global relational database schema and its transactions. A necessary and sufficient condition for the correctness of derived fragmentations is also proved.

本文研究了分布式数据库的两阶段水平分区问题。首先,基于谓词亲和矩阵和键能算法对每个关系进行初级水平碎片化;这是一个垂直分区算法在水平碎片问题上的应用。其次,通过考虑与全局关系数据库模式及其事务相关的信息,进一步执行派生的水平碎片。并证明了所得片段正确性的一个充分必要条件。
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引用次数: 34
Performance of an optimal subset of Zernike features for pattern classification 模式分类中Zernike特征的最优子集的性能
Pub Date : 1994-05-01 DOI: 10.1016/1069-0115(94)90006-X
P. Raveendran, Sigeru Omatu

This paper presents a technique of selecting an optimal number of features from the original set of features. Due to the large number of features considered, it is computationally more efficient to select a subset of features that can discriminate as well as the original set. The subset of features is determined using stepwise discriminant analysis. The results of using such a scheme to classify scaled, rotated, and translated binary images and also images that have been perturbed with random noise are reported. The features used in this study are Zernike moments, which are the mapping of the image onto a set of complex orthogonal polynomials. The performance of using a subset is examined through its comparison to the original set.

The classifiers used in this study are neural network and a statistical nearest neighbor classifier. The back-propagation learning algorithm is used in training the neural network. The classifers are trained with some noiseless images and are tested with the remaining data set. When an optimal subset of features is used, the classifers performed almost as well as when trained with the original set of features.

本文提出了一种从原始特征集中选择最优数量特征的技术。由于考虑了大量的特征,选择一个可以区分的特征子集和原始集在计算上更有效。使用逐步判别分析确定特征子集。本文报道了使用该方案对缩放、旋转和平移的二值图像以及受随机噪声干扰的图像进行分类的结果。本研究中使用的特征是泽尼克矩,它是图像到一组复正交多项式的映射。通过与原始集合的比较来检查使用子集的性能。本研究中使用的分类器是神经网络和统计最近邻分类器。采用反向传播学习算法对神经网络进行训练。分类器用一些无噪声图像进行训练,并用剩余的数据集进行测试。当使用最优特征子集时,分类器的表现几乎与使用原始特征集训练时一样好。
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引用次数: 7
Freeway traffic control using fuzzy logic controllers 高速公路交通控制的模糊逻辑控制器
Pub Date : 1994-03-01 DOI: 10.1016/1069-0115(94)90008-6
C.Y. Ngo, Victor O.K. Li

A major cause of freeway congestion before the traffic density becomes critical is the shock wave due to the speed differences between consecutive vehicles. Such disturbance can be reduced if we can impose homogeneous speed control on the vehicles. In this paper, a two-level model-free control scheme using neural-network-based fuzzy logic controllers is proposed which regulates the speed of the freeway through speed advisory boards. Using information from both measurement data and expert knowledge (e.g., environmental information and psychological factors), it is expected that this controller will outperform the conventional ones.

在交通密度变得严重之前,高速公路拥堵的一个主要原因是连续车辆之间的速度差异所产生的冲击波。如果对车辆施加均匀速度控制,就可以减少这种干扰。本文提出了一种基于神经网络模糊控制器的两级无模型控制方案,通过速度咨询板对高速公路的速度进行调节。利用测量数据和专家知识(如环境信息和心理因素)的信息,预计该控制器将优于传统控制器。
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引用次数: 10
Classification of landsat remote sensing images by a fuzzy unsupervised clustering algorithm 基于模糊无监督聚类算法的陆地卫星遥感图像分类
Pub Date : 1994-03-01 DOI: 10.1016/1069-0115(94)90010-8
Frank Y. Shih, Gwotsong P. Chen

The classification of each pixel in a Landsat image to one of the land cover types by conventional clustering techniques is highly inappropriate due to the low resolution of Landsat images and the multiplicity of terrain. The concept of fuzzy logic provides a flexible solution to this problem. This paper presents a new two-pass unsupervised clustering algorithm incorporated the fuzzy theory. In the first pass the mean vectors of different land cover types representing their geographic attributes are derived. In the second pass the membership grade of a pixel belonging to different land cover types is computed based on the distance between its gray-value vector and the mean vector of each type. Experimental results show that the developed fuzzy clustering algorithm produces more reasonable phenomenon interpretation than the traditional hard partition techniques.

由于Landsat图像的低分辨率和地形的多样性,传统的聚类技术将Landsat图像中的每个像元分类为一种土地覆盖类型是非常不合适的。模糊逻辑的概念为这个问题提供了一个灵活的解决方案。本文提出了一种新的结合模糊理论的两步无监督聚类算法。第一步推导了不同土地覆盖类型代表其地理属性的平均向量。在第二步中,根据不同土地覆盖类型的灰度值向量与每种类型的平均向量之间的距离计算属于不同土地覆盖类型的像素的隶属度等级。实验结果表明,所提出的模糊聚类算法比传统的硬划分算法能更合理地解释现象。
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引用次数: 0
Fuzzy subfiber and its application to seismic lithology classification 模糊亚纤维及其在地震岩性分类中的应用
Pub Date : 1994-03-01 DOI: 10.1016/1069-0115(94)90009-4
Li Chen, Heng-da Cheng, Jianping Zhang

Rosenfeld proposed the concept of the 2D fuzzy subset and successfully applied it to the problem of image segmentation. However, the 2D fuzzy subset approach could be used only for gray scale image segmentation because it fails to handle higher-dimensional range images such as color images. To deal with higher-dimensional range images, we introduce a new concept—fuzzy subfiber—which can be viewed as an extension of the 2D fuzzy subset. In this paper, we give the definition of fuzzy subfiber and discuss one of its most important properties: connectivity on fuzzy subfibers. This property enables us to develop fast image segmentation algorithms for higher-dimensional range images. Finally, we discuss lithology determination (classification) as a real application of fuzzy subfiber.

Rosenfeld提出了二维模糊子集的概念,并成功地应用于图像分割问题。然而,由于二维模糊子集方法不能处理诸如彩色图像等高维范围图像,因此只能用于灰度图像分割。为了处理高维范围图像,我们引入了一个新的概念——模糊子纤维,它可以看作是二维模糊子集的扩展。本文给出了模糊子光纤的定义,并讨论了其最重要的性质之一:模糊子光纤上的连通性。这一特性使我们能够为高维范围图像开发快速图像分割算法。最后,我们讨论了岩性测定(分类)作为模糊亚纤维的实际应用。
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引用次数: 42
Reasoning on domain knowledge level in human-computer interaction 基于领域知识层次的人机交互推理
Pub Date : 1994-01-01 DOI: 10.1016/1069-0115(94)90018-3
Chaochang Chiu, Anthony F. Norcio, Chi-I Hsu

This paper proposes an innovative approach for dynamically analyzing a user's dialog behavior and inferring a user's domain knowledge level simultaneously that combines neural networks, fuzzy cognitive maps, and fuzzy production rules. Further, this approach supports more cooperative human-computer interaction through dialog adaptation. Furthermore, when the user's knowledge level and problem-solving capability are inferred more accurately, there is more assurance that the system's interaction strategy can match more closely to the user's style. This research implements a neural network for classifying a user's performance pattern using UNIX file security commands. Input and output information that relate to a fuzzy cognitive map and fuzzy production rules are explained.

本文提出了一种结合神经网络、模糊认知地图和模糊产生规则的动态分析用户对话行为和同时推断用户领域知识水平的创新方法。此外,该方法通过对话适应支持更协作的人机交互。此外,当用户的知识水平和解决问题的能力被推断得越准确,就越能保证系统的交互策略能更紧密地与用户的风格匹配。本研究利用UNIX文件安全命令实现了一个神经网络,用于对用户的性能模式进行分类。解释了与模糊认知图和模糊产生规则相关的输入和输出信息。
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引用次数: 0
Neural expert system using fuzzy teaching input and its application to medical diagnosis 模糊教学输入神经专家系统及其在医学诊断中的应用
Pub Date : 1994-01-01 DOI: 10.1016/1069-0115(94)90019-1
Yoichi Hayashi

This paper first proposes a fuzzy neural network and the learning method using fuzzy teaching input. As an application, a fuzzy neural expert system (FNES) for diagnosing hepatobiliary disorders has been developed. We used a real medical database containing the results of nine biochemical tests of four hepatobiliary disorders. After learning by using training data (373 patients), the proposed system correctly diagnosed 77.3% of test (external) data from 163 previously unseen patients and correctly diagnosed 100% of the training data. Conversely, the diagnostic accuracy of the linear discriminant analysis was 63.2% of the test data and 67.0% of the training data.

本文首先提出了模糊神经网络和模糊教学输入的学习方法。作为一种应用,开发了一种用于肝胆疾病诊断的模糊神经专家系统(FNES)。我们使用了一个真实的医学数据库,其中包含四种肝胆疾病的九项生化测试结果。通过使用训练数据(373名患者)进行学习后,该系统正确诊断了163名以前未见过的患者的77.3%的测试(外部)数据,并正确诊断了100%的训练数据。相反,线性判别分析的诊断准确率为测试数据的63.2%,训练数据的67.0%。
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引用次数: 0
A hardware digital fuzzy inference engine using standard integrated circuits 采用标准集成电路的硬件数字模糊推理引擎
Pub Date : 1994-01-01 DOI: 10.1016/1069-0115(94)90016-7
Sujal M. Shah, Ralph Horvath

The paper describes a general-purpose board-level fuzzy inference engine intended primarily for experimental and educational applications. The components are all standard TTL integrated circuits (7400 series) and CMOS RAMs (CY7C series). The engine processes 16 rules in parallel with two antecedents and one consequent per rule. The design may easily be scaled to accommodate more or fewer rules. Static RAMs are used to store membership functions of both antecedent and consequent variables. “Min-max” composition is used for inferencing, and for defuzzification, the mean of maxima strategy is used. Simulation on VALID CAE software predicts that the engine is capable of performing up to 1.56 million fuzzy logic inferences per second.

本文描述了一个通用的板级模糊推理引擎,主要用于实验和教育应用。元件均为标准TTL集成电路(7400系列)和CMOS ram (CY7C系列)。该引擎并行处理16条规则,每个规则有两个先行项和一个后项。设计可以很容易地缩放以适应更多或更少的规则。静态ram用于存储前因变量和后因变量的隶属函数。“最小-最大”组合用于推理,对于去模糊化,使用最大均值策略。在VALID CAE软件上的仿真预测,该引擎能够每秒执行多达156万次模糊逻辑推理。
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引用次数: 0
Individualizing user interfaces: Application of the Grade of Membership (GoM) model for development of fuzzy user classes 个性化用户界面:应用GoM模型开发模糊用户类
Pub Date : 1994-01-01 DOI: 10.1016/1069-0115(94)90017-5
Keith C. Mitchell, Max A. Woodbury, Anthony F. Norcio

Application of fuzzy set theory [35] provides a conceptual framework for empirical development of fuzzy user classes for measurement of computer users. Fuzzy classes generalize discrete (fixed boundary) classes by assigning scores that relate each person to each class for representing within-class heterogeneity [13, 25]. Use of fuzzy classes permits individual heterogeneity to be represented by a relatively few analytically defined types [14]. Applying the properties of fuzzy set theory to user classification will result in the definition of a user's membership within a series of fuzzy user classes within the user space. These fuzzy classes can be considered an alternative method for defining stereotypes by empirically defining potential categories into which users can be assigned. The major difference between fuzzy user classes and stereotypes lies in the application of grades of membership to directly measure simultaneous membership in multiple categories. Thus, variability can be very accurately measured and represented using fuzzy sets and grades of membership. These fuzzy classes or user types represent archetypical users or fuzzy users. Application of fuzzy set theory provides an opportunity to extend the current classification methods to measure the differences between users more accurately. This increase in accuracy assists in developing effective adaptive human computer interfaces.

模糊集理论的应用[35]为度量计算机用户的模糊用户类的经验发展提供了一个概念框架。模糊类通过分配将每个人与每个类联系起来的分数来表示类内异质性来推广离散(固定边界)类[13,25]。使用模糊类允许个体异质性由相对较少的分析定义类型来表示[14]。将模糊集理论的性质应用到用户分类中,可以定义用户在用户空间中一系列模糊用户类中的隶属关系。这些模糊类可以被认为是通过经验定义用户可以分配到的潜在类别来定义原型的替代方法。模糊用户类与原型的主要区别在于使用隶属度等级来直接度量多个类别的同时隶属度。因此,可变性可以非常准确地测量和表示使用模糊集和隶属等级。这些模糊类或用户类型表示原型用户或模糊用户。模糊集理论的应用为扩展现有的分类方法提供了一个机会,可以更准确地度量用户之间的差异。这种准确性的提高有助于开发有效的自适应人机界面。
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引用次数: 0
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Information Sciences - Applications
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