可变模糊集理论在江西省水资源承载力评价中的应用

结合江西省2009年自然、社会和经济以及水资源资料,选取降水量、灌溉率、水资源开发利用程度、生活用水定额、人均供水量、万元GDP用水量、生态环境用水率、缺水率作为评价指标,应用可变模糊评价模型对江西省11个市的水资源承载力进行了评价研究.能够科学、合理地确定样本指标对各级指标标准区间的相对隶属度、相对隶属函数,并且能够通过变化模型及其参数,合理地确定出样本的评价等级,提高对样本等级评价的可信度.最后与模糊识别理论计算出的结果进行比较,评价等级基本保持一致.研究结果表明,江西省整体水资源承载力等级为1~2级,水资源开发利用已具有一定规模,部分区域水资源开发潜力较大.     

基于模糊综合评价模型的赣州市水资源承载力动态评价

水资源的合理利用对区域经济社会发展以及促进人与自然的可持续发展至关重要.通过构建模糊综合评价模型,选取年降水量、人均水资源量、水资源利用率、万元GDP用水量、万元工业增加值用水量、农田灌溉亩均用水量、生态用水等7个指标对赣州市2009-2018年水资源承载力进行动态评价研究,分析近十年该地区水资源承载力演变趋势以及影响该地区水资源承载力的主要因素.结果表明:1)赣州市水资源综合承载力较高,水资源还有进一步开发利用的空间;2)2009-2018年赣州市水资源承载力整体上呈上升趋势,但上升幅度不大,呈现小幅波动状态,其中GDP、工业用水量以及农业用水量对赣州市水资源承载力的具有显著影响;3)赣州市水资源较丰富,但由于时空分配不均,水资源配置体系也不够完善,且供水的基础设施比较薄弱,所以水资源的开发利用程度比较低.该研究结果可为当地水资源的可持续利用提供决策参考和依据.     

区域水资源承载力模糊线性规划模型及应用

首先按照联合国教科文组织提出的资源承载力定义,给出水资源承载力的定义,建立了水资源承载力的模糊线性规划模型,然后运用这模型对江西省的近期水资源承载力问题进行研究,数据结果表明模型的应用是成功的.     

基于主成分分析的陕西省水资源承载力预测

为合理分配和利用陕西省水资源,在对其水资源现状分析的基础上,基于主成分分析的基础上利用多元线性回归模型预测方法,对陕西省未来5年水资源的需求量进行了预测.结果表明:未来5年陕西省水资源年均处于增长状态,对陕西省供水能力提出了严峻考验.结合未来陕西省发展规划以自然生态环境,分析了水资源的供需矛盾,提出陕西省资源可持续利用的对策.     

集对分析多元模糊评价法在水资源可再生能力评价中应用

水资源可再生能力受多种因素影响,因素间关系错综复杂,水资源可再生能力综合评价是一项复杂的系统工程.以集对分析理论为基础,用新定元准则、主同、超同和同化度等新概念发展集对分析,建立了一种新的流域水资源可再生能力评价模型—集对分析多元模糊评价模型(MFSPAFM).应用该模型对黄河流域及其上、中、下游典型省份的水资源可再生能力进行了综合评价,并与常规集对分析模型和可变模糊等模型评价结果进行了比较.实例应用显示该模型能够真实地反映水资源可再生能力状况,评价结果更符合客观实际.研究表明,集对分析多元模糊评价模型结构简单,计算简洁,可行有效,适用于水资源可再生能力综合评价.     

基于系统动力学模型的青岛市水资源承载力研究

在全面分析青岛市水资源现状的基础上,利用系统动力学方法建立了青岛市水资源承载力仿真模型,并对模型的有效性进行了检验.通过改变模型相关决策参数,仿真模拟了自然延续型、经济发展型、节水发展型、综合发展型4种不同方案下青岛市2011-2030年水资源承载力的动态变化情况.结果 表明,综合发展型方案是保证青岛市水资源可持续利用...     

北京市水资源利用建模分析研究

以北京市为例,分别应用无偏灰色GM(1,1)模型和非线性模型对北京市2001年-2010年的用水量进行了建模,利用最优化方法,计算了上述两种模型的最优组合模型,通过三种模型分别计算了北京市2001年-2010年的水资源利用量,并与北京市2001年-2010年的实际用水量进行了对比,采用精度检验方法,分别对无偏灰色模型,非线性模型和组合模型进行了精度检验,计算结果表明,加权组合模型是三种模型中精度最高的模型,通过组合模型计算得出的用水量值与实际水资源利用量相比误差最小,由此得出,可以利用组合模型对北京市未来的水资源利用量进行预测,预测结果可为其他相关研究提供参考.     

基于改进TOPSIS法的海南省资源环境承载力时空差异研究

资源环境承载力评价可以为区域资源环境管理提供有效的决策依据.以海南省作为研究对象,通过构建资源环境承载力指标体系,结合熵权法来改进TOPSIS法,构建资源环境承载力评价模型,从时间序列和空间分布对海南省资源环境承载力进行分析.结果表明:1)在时间序列上,2010-2019年海南省资源环境承载力总体处于上升趋势,并且承载能力仍有较大的提升空间;2)在空间分布上,2019年海南省资源环境承载力以低承载为主,占全省面积的67.35%;高承载面积仅占总面积的6.63%.进一步说明除海口市外的海南省其他区域资源环境条件较弱,因此,在注重高质量发展的同时,更应做到区域协同发展,从而推动整体区域资源环境承载力水平的提高.     

吉林省综合承载力评价研究

运用状态空间法构建综合承载力模型,利用主成分分析法求取权重,对吉林省2005-2014年综合承载力进行了测算,结果显示:1)吉林省综合承载力虽然呈"波动式"上升,但始终处于超载状态,说明吉林省经济处于一种不可持续状态;2)自然资源承载力>经济承载力>生态承载力,自然资源承载力是富余的,经济承载力基本处于均衡状态,而生态资源承载力却明显不足,处于赤字状态,说明生态环境将限制吉林省经济发展;3)土地资源承载力>水资源承载力>能源承载力,土地资源承载力是富余的,但水资源和能源承载力却不足,处于赤字状态,说明水资源与能源是制约吉林省经济发展限制性因素;最后从发展循环经济,优化产业结构,提高科学技术,改变人们生产和生活方式等来提高吉林省综合承载力,旨为吉林省经济持续发展提供了技术支撑.     

城市区域性人口承载力动态综合测度

对马尔萨斯人口增长模型进行研究,设计人口承载力发展路径和基于增长模型的隶属函数,从概率角度构建人口承载力动态综合测度模型,同时,以城市区域为研究对象,以经济作为人口承载力主导影响因素,辅之以自然、环境、资源与科技因素,构建人口承载力综合评价指标体系,多角度、多因素分析区域人口承载力,寻找人口承载短板,为人口承载力研究提供新的研究方法和视角.实证研究结论显示,研究区域人口承载力当前处于承载力强阶段,并开始向适度阶段过渡,其内部指标和子系统发展不平衡,人口系统自身发展稳定,经济和环境人口承载力强,资源和科技承载力较弱,随着区域经济的发展,在相当长一段时间内可进入适度人口阶段.     

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.     

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 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.     

(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).     

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].