模糊错误逻辑论域分解转化联结词研究

主要给出了模糊错误逻辑论域分解转化联结词所涉及的概念、运算及其模糊错误逻辑论域分解转化联结词与/nf l内涵分离、/nf h内涵分化、∥nhb内涵互补、—∥nhd l内涵对立等的关系作了一点研究。     

模糊错误逻辑分解转化词与内涵否定词的逻辑关系

在文 [1]的基础上 ,在简单分析现时中错误的传递与转化的实际存在的同时 ,介绍国内外在逻辑研究领域对事物传递与转化规律的研究现状。特别为了探索控制与防范证券风险的技术而主要研究模糊错误逻辑分解转化词与内涵否定词的逻辑关系。     

基于错误逻辑相似变换构建网购用户评价有效集模型

基于错误逻辑相似转化联结词,给出了错误逻辑命题的论域、事物、空间、特征、量值、错误值、规则、错误函数、时间等参数的相似变换矩阵定义.文中给出了形式上为T(C_1)=C_2的相似变换错误矩阵方程模型.针对电子商务网购用户评价的网上抓取数据,定义了从包含若干无效评价的大集合向有效小集合变换的错误矩阵模型.模型是基于错误逻辑理论,从已知转化系数矩阵T,以及初始错误矩阵,向未知目标集合进行相似变换的知识推理探索.     

基于模糊错误逻辑的投资结构优化研究

主要研究模糊错误逻辑的运算,设定了模糊错误逻辑的基本运算规则,对模糊错误逻辑公式、变量、真值、函数、字、子句、字组等概念进行定义,在此基础上,提出2个定理并予以证明,揭示了模糊错误逻辑在错误的传递、转化与消除过程中的运算规律和性质 ,然后建立了优化投资结构模糊错误逻辑模型.     

模糊错误逻辑的组合转化词分析

模糊错误逻辑研究的是错误传递、转化的规律,它为决策中避免错误,消除错误,减小错误的危害提供了新的方法.组合转化词是模糊错误逻辑中的一个重要转化词,定义了组合转化词的概念.分析了这个转化词的性质和运算规律.     

基于空间分解变换的模糊错误矩阵方程求解

模糊错误逻辑对现实世界的对象用(u,x)表示为((U,S(t),■T(t),L(t)),(x(t)=f((u(t),■),GU(t)),GU(t)),用模糊错误变换矩阵可以表示分解、相似、增加、置换、毁灭、单位变换等6种变换方法,本论文基于求解方程XA′=B,针对■的分解,研究了基于空间分解变换的错误矩阵方程求解。以期从矩阵方程求解的角度对错误转化规律进行探索研究。     

模糊错误逻辑的增加转化词及其在规避金融衍生交易风险中的应用

研究模糊错误逻辑的增加转化词在错误的传递、转化与消除过程中的性质和规律,建立了避免金融衍生交易风险的数学模型,介绍了增加转化词在避免金融衍生交易风险中的应用方法。     

广义剩余蕴涵北大核心

本文基于一般的聚合算子,提出一类新的模糊蕴涵,称之为广义剩余蕴涵.广义剩余蕴涵是模糊逻辑中十分重要的剩余蕴涵的自然推广.我们进一步讨论这类蕴涵的基本性质,并且探究广义剩余蕴涵与由模糊合取生成的蕴涵之间的关系,并证明这两类蕴涵为不同的蕴涵.这些结果在模糊逻辑与模糊决策之间建立了新的联系.     

二类1错误矩阵方程增优置换变换求解及其在城市交通管理中的应用研究

消错学的错误矩阵可表达错误逻辑里所定义的分解、相似、增加、置换、毁灭、单位变换等转化词,针对其中的置换变换,构建了二类1错误矩阵方程增优置换变换错误矩阵方程,并讨论了该类错误矩阵方程的求解.用交通管理问题对错误矩阵进行了举例,并构建相应的错误矩阵方程,利用上述的求解方法,对二类1方程置换变换进行了求解.     

关于“或”与“且”的注意事项

“或”与“且”是数学中常用的逻辑联结词 ,这里的“或”与日常语言中的“或者”、“可能…也可能…”和“也许… ,也许…”的意思接近 ,而且是可兼容的(即两者中至少一个成立 ) .这里的“且”与日常语言中的“和”、“并且”、“以及”、“既…又”意思相当 (即两者必须同时成立 ) .它们分别满足“p或 q” ,“p且 q”真值表 ,对应于并集与交集的概念 .但在应用中 ,同学们由于理解上的模糊、错误 ,对“或”与“且”往往出现混淆、遗漏、乱用等现象 ,在数值范围的表示形式中 ,特别是对方程、不等式的解集 ,导致种种错误的结果 .下面举例说明 …     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].