一种确定整周模糊度搜索空间的方法

模糊度搜索空间的大小是影响模糊度解算效率的关键因素之一.针对传统确定模糊度搜索空间的方法较为保守,致使搜索空间过大,提出了一种基于最小二乘模糊度降相关平差法(LAMBDA)的改进方法.首先对目前模糊度搜索空间确定方法给予了介绍和深入的分析比较,评价了这些经典方法的优缺点.在此基础上,定义了搜索空间的一个影响因子η,并结合LAMBDA方提出了确定模糊度搜索空间的修正公式.基于仿真和实测数据对修正方法进行实验,结果表明方法在保证获得期望模糊度组数的前提下,其确定的模糊度搜索空间包含的整数点个数更小,可保证90%以上实际模糊度组数接近于期望值.     

基于模糊理论的次序评分法优化研究

传统次序评分法是处理多指标等权正交试验设计问题的常用方法,但其在实际运用过程中存在一定的缺陷.考虑到专家评价信息的模糊性和不确定性,本文分别引入语言变量法、语言分布评价法和犹豫模糊语言偏好分析法对次序评分法进行改进.通过案例分析发现,上述三种模糊评价法较次序评分法能更准确地获取专家的评价信息,减少数据处理过程的信息损失...     

O型模糊数及其结构元表示方法

为研究平面或空间模糊几何问题的需要,在平面或空间模糊点的背景下,给出了O型模糊数的概念,它是一类二维实数域上的模糊集,同时给出了O型模糊数的二维模糊结构元表示方法.二维模糊数的结构元方法,可以使O型模糊数的运算变成普通实数与模糊结构元之间的运算,使得过去必须依赖扩张原理和表现定理来刻画的模糊数运算变得更加简单与直观,不仅仅为模糊分析计算的简化提供了工具,也为二维实数域上模糊分析理论与应用的研究开创了一条新的途径.     

支撑模糊集合转换的模糊逻辑是伪逻辑

模糊逻辑系统用模糊集合描述模糊信息、用模糊集合转换处理模糊信息.阐述支撑模糊集合转换的模糊逻辑为什么是伪逻辑的原因.指出定义在论域一个空间上的模糊集合,因为破坏了集合中元素的"不可分割性",所以模糊集合描述的模糊信息不能用数学计算通过模糊集合转换处理.实际应用中的模糊信息定义在论域与状态空间两个空间上,其正确表达方式是满足"归一化"条件的隶属度向量;处理的正确途径是,研究基于状态转移矩阵的隶属度转换;支撑隶属度转换的是近似推理逻辑,目的是使构建的隶属度转换模型是当前条件下人们可能构建的"最优"近似模型.     

模糊赋范空间的范数结构（英文）

本文研究了模糊赋范空间中的范数结构问题.利用"切片"的方法,通过引入K函数,在更广泛意义下讨论了带连续t-模的模糊范数空间中存在的范数结构,给出了这些范数结构之间的关系.所得结果推广了现有的结论,并为模糊赋范空间的进一步研究提供了一种新的途径.     

模糊粒度空间的性质研究

在文献[16]基础上,进一步将模糊粒度空间推广到更一般地模糊等价关系上,研究了模糊粒度空间的性质,主要获得了3个结论.首先,引入了有序的等价关系集的概念,给出了下列的四个命题是等价的:(1) 给定一个模糊等价关系;(2) 给定一个等腰归一化伪距离;(3) 给定一个有序的粒度空间;(4) 给定一个有序的等价关系集.第二,通过模糊等价关系诱导的等腰归一化伪距离的投影距离和扩展距离,建立了模糊粒度空间上的距离,即是等腰归一化距离,并且给出了模糊粒度空间上距离度量的动态性质研究.最后,给出了模糊粒度空间与模糊等价关系之间的序关系,即它们的序是一致的.这些研究工作进一步完善了模糊粒度空间的理论,为模糊粒度计算提供了更为直观的数学理论和工具.     

基于模糊熵的加权可变模糊评价方法及其应用

可变模糊评价的实质是多模型组合评价.在分析了可变模糊评价法的基础上,针对方法存在的不足,提出了一种考虑模型权重的可变模糊评价方法.方法首先利用可变模糊评价模型对样本进行计算,得到各样本在不同模型下的综合相对隶属度;然后基于得到的综合相对隶属度数据,利用模糊熵确定四种模型的重要性排序,结合二元比较模糊决策分析法求得四种模型的权重,进而得到最终综合级别特征值,并以此作为评价依据;最后,以煤与瓦斯突出危险性评价为例进行了方法的验证.结果表明:改进方法可行、有效,评价结果更符合客观实际.     

基于模糊熵的加权可变模糊评价方法及其应用北大核心

可变模糊评价的实质是多模型组合评价.在分析了可变模糊评价法的基础上,针对方法存在的不足,提出了一种考虑模型权重的可变模糊评价方法.方法首先利用可变模糊评价模型对样本进行计算,得到各样本在不同模型下的综合相对隶属度;然后基于得到的综合相对隶属度数据,利用模糊熵确定四种模型的重要性排序,结合二元比较模糊决策分析法求得四种模型的权重,进而得到最终综合级别特征值,并以此作为评价依据;最后,以煤与瓦斯突出危险性评价为例进行了方法的验证.结果表明:改进方法可行、有效,评价结果更符合客观实际.     

基于模糊因素的载人航天器乘员舱内人-机界面工效学评价研究

载人航天器乘员舱内人－机界面的工效学评价是决定能否进行载人空间飞行的重要依据之一，由于人－机界面本身的复杂性，使得对其评价有一定的难度。本文在模糊理论的基础上，首先对舱内人－机界面工效学评价各参数进行随机模糊分析，据此建立工效学模糊综合评价模型，最后进行了实例研究。结果表明，对于同一个评价对象，应用该方法更能接近实际。     

模糊一致体

定义了模糊一致体概念,研究了它与模糊拓扑体的关系及它与模糊一致空间的关系;给出了借助于体的模糊子集族对模糊一致体的刻画,还引入了模糊一致子体,模糊一致商体与模糊一致体的直积;并讨论了它们的分离性.     

THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES

51. IntroductionSince the theory of fuszy set was introduced by Lotfi A. Zadeh in 1965, fuzzy techniquehas developed rapidly and has been successfully aPplied into many fields.In receat yeaJrs3 a new and promising way of using the fuzzy technique is combinedwith other deterministic and statistica1 methods. The so-called 'hybrid' technique has beenaPplied to insurance business and achieved positive results (see [1, 2], etc.).Based on the data obtained from a survey recelltly made in a commun…     

THE ＇HYBRID＇ TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES

Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these diseases by analysis of variance, the authors introduce a new concept ‘Illness Fuzzy Set‘ and use fuzzy comprehensive evaluation to evaluate the risk of suffering from a disease for residents. Optimal technique is used to determinethe weights wi in fuzzy comprehensive evaluation, and a new method ‘Improved Information Distribution‘ is also introduced for the treatment of small sample problem. It is shown that the results obtained by using the hybrid technique are better than by using single fuzzy technique or single statistical method.     

Possibilistic linear regression analysis for fuzzy data

Fuzzy data given by expert knowledge can be regarded as a possibility distribution by which possibilistic linear systems are defined. Recently, it has become important to deal with fuzzy data in connection with expert knowledge. Three formulations of possibilistic linear regression analysis are proposed here to deal with fuzzy data. Since our formulations can be reduced to linear programming problems, the merit of our formulations is to be able to obtain easily fuzzy parameters in possibilistic linear models and to add other constraint conditions which might be obtained from expert knowledge of fuzzy parameters. This approach can be regarded as a fuzzy interval analysis in a fuzzy environment.     

Shape sensitivity analysis of thin-shell structures

This paper presents explicit formulas for shape sensitivity analysis of thin shell structures. The curvature distribution is the design to be determined. The thin-shell theory employed is the general Koiter model in the Cartesian coordinates. For the shape sensitivity formulation, both the direct differentiation method and the material derivative concept have been used. The two formulations are shown to be equivalent. A computer program based on these formulations has been developed and applied to examples. The shape sensitivity results obtained have been compared to those obtained by finite differencing.     

A distance-based statistical analysis of fuzzy number-valued data

Real-life data associated with experimental outcomes are not always real-valued. In particular, opinions, perceptions, ratings, etc., are often assumed to be vague in nature, especially when they come from human valuations. Fuzzy numbers have extensively been considered to provide us with a convenient tool to express these vague data. In analyzing fuzzy data from a statistical perspective one finds two key obstacles, namely, the nonlinearity associated with the usual arithmetic with fuzzy data and the lack of suitable models and limit results for the distribution of fuzzy-valued statistics. These obstacles can be frequently bypassed by using an appropriate metric between fuzzy data, the notion of random fuzzy set and a bootstrapped central limit theorem for general space-valued random elements. This paper aims to review these ideas and a methodology for the statistical analysis of fuzzy number data which has been developed along the last years.     

水中悬浮隧道的空间曲线结构运动方程

借助参考直线坐标系,求解空间曲线结构在曲线坐标系中的几何方程．运用Hamilton原理推导空间螺旋曲线梁结构的运动方程．方程表明空间曲线结构4个自由度相互耦合,当结构退化为平面曲线结构时,两个相互垂直平面内的各自由度相互耦合．空间任意曲线梁结构的动力方程均可按照该文推导思路得出．对于水中悬浮隧道结构,可以忽略转动动能对振动的影响．     

A dynamical model of storm surges along island coasts

A time-independent dynamical model of storm surge along island coasts using orthogonal curvilinear coordinates is presented. The curved annulus between an island coast and an arbitrary deep-water boundary is mapped conformally onto a rectangular image. Two configurations of island coasts are investigated; circular and elliptic coasts. The corresponding coordinates are circular polar and elliptic respectively. The linearized vertically-integrated equations of motion are used to model storm surges with two assumptions: (i) bottom stress is proportional to horizontal transport, and (ii) storm forces are shear stresses on water surface. Analytical solutions are presented for three dynamical cases: (i) a constant-depth basin acted upon by a uniform storm stress, (ii) variable-depth basin acted upon by a uniform-direction variable-magnitude stress, and. (iii) a basin with closed depth contours acted upon by vortex-shaped storm stress. The obtained solutions clarify the relative importance of the various parameters and variables that affect surge height distribution along island coasts. These solutions may be used to test a time-dependent, numerical dynamical storm model.     

Dynamic pricing model and algorithm for perishable products with fuzzy demand

This paper studies the dynamic pricing problem of selling fixed stock of perishable items over a finite horizon, where the decision maker does not have the necessary historic data to estimate the distribution of uncertain demand, but has imprecise information about the quantity demand. We model this uncertainty using fuzzy variables. The dynamic pricing problem based on credibility theory is formulated using three fuzzy programming models, viz.: the fuzzy expected revenue maximization model, α‐optimistic revenue maximization model, and credibility maximization model. Fuzzy simulations for functions with fuzzy parameters are given and embedded into a genetic algorithm to design a hybrid intelligent algorithm to solve these three models. Finally, a real‐world example is presented to highlight the effectiveness of the developed model and algorithm. Copyright © 2009 John Wiley & Sons, Ltd.     

Fuzzy data analysis by possibilistic linear models

Since fuzzy data can be regarded as distribution of possibility, fuzzy data analysis by possibilistic linear models is proposed in this paper. Possibilistic linear systems are defined by the extension principle. Fuzzy parameter estimations are discussed in possibilistic linear systems and possibilistic linear models are employed for fuzzy data analysis with non-fuzzy inputs and fuzzy outputs defined by fuzzy numbers. The estimated possibilistic linear system can be obtained by solving a linear programming problem. This approach can be regarded as fuzzy interval analysis.     

全概率公式的推广

首先给出了普通事件在普通条件和Fuzzy条件下的Fuzzy条件概率及Fuzzy事件在普通条件和Fuzzy条件下的Fuzzy条件概率公式,并通过对普通事件的全概率公式进行推广,得到普通事件和Fuzzy事件分别在普通划分和Fuzzy划分下的全概率公式