Agricultural effluent control under uncertainty: An inexact double-sided fuzzy chance-constrained model     

Y. Xu  X.S. Qin 《Advances in water resources》2010

An inexact double-sided fuzzy chance-constrained programming (IDFCCP) method was developed in this study and applied to an agricultural effluent control management problem. IDFCCP was formulated through incorporating interval linear programming (ILP) into a double-sided fuzzy chance-constrained programming (DFCCP) framework, and could be used to deal with uncertainties expressed as not only possibility distributions associated with both left- and right-hand-side components of constraints but also discrete intervals in the objective function. The study results indicated that IDFCCP allowed violation of system constraints at specified confidence levels, where each confidence level consisted of two reliability scenarios. This could lead to model solutions with high system benefits under acceptable risk magnitudes. Furthermore, the introduction of ILP allowed uncertain information presented as discrete intervals to be communicated into the optimization process, such that a variety of decision alternatives can be generated by adjusting the decision-variable values within their intervals. The proposed model could help decision makers establish various production patterns with cost-effective water quality management schemes under complex uncertainties, and gain in-depth insights into the trade-offs between system economy and reliability.  相似文献   

茶园沟泥石流易发性综合评价     

朵天惠  王永利  陈鹏飞  黄支刚 《东北地震研究》2010,(4):41-44

本文基于模糊数学中多级综合评判的理论与方法,运用专家调查打分法确定各评价因子的权重,并结合茶园沟泥石流灾害的具体特点、成因和机理,选取典型的评判因子,建立二级评判模型,对茶园沟泥石流易发性进行二级模糊综合评判。  相似文献   

亚纯函数微分多项式的一个正规定则     

张兆迎  鲍文竹 《成都信息工程学院学报》2010,25(2):218-220

证明了下面两个定理：（1）设n,k≥2为正整数,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k．vf,g∈F,fLn（f）与gLn（g）IM分担a．则F在D上正规,其中L（f）为f（k）＋a1f^（k-1）＋…＋akf,这里a1,…,ak为常数．（2）设n,k为正整数,且n≥2,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k,且fLn（f（z））=a能够推出｜f^（k）（z）｜≤A,其中A为正数,则F在区域D上正规．  相似文献   

量子理论中一个定理的随机推广     

欧谦宁 《成都信息工程学院学报》2010,25(2):223-225

随机情况下的量子理论有着更广泛的实际应用,所以利用数学期望将量子理论中的一个重要定理在随栅隋况下作了推广,证得这个定理对随机自相似集也成立,这对进一步研究随机自相似集的量子维数和量子误差提供了理论依据,丰富了量子理论．  相似文献   

Banach空间中非扩张映像的强收敛性     

李全刚 《成都信息工程学院学报》2010,25(3):321-323

在实光滑和一致凸Banach空间中通过引入广义度量投影,证明了一个关于非扩张映像的修正Mann迭代序列的强收敛性定理。目的是利用广义度量投影来修改Nakajo与Takahashi的迭代方案,并将Nakajo与Taka—hashi文中所对应的主要结果由Hilbert空间推广到实光滑和一致凸Banach空间。  相似文献   

Blasius方程中临界值的分析估计     

陆中会  胡敏 《成都信息工程学院学报》2010,25(3):333-335

证明了流体力学边界层理论中著名的Blasius方程的一个新性质,它在二维平板流的研究中具有重要的作用,由此建立它的积分形式,并给出方程中的临界值βc的分析估计。  相似文献   

基于模糊数学综合评判的库岸稳定性分段——以新疆某水电站近坝库岸为例     

熊靖辉  任光明  李林 《中国煤炭地质》2009,(4):52-54

从影响库岸稳定性的诸因素中筛选出六个主要因素：坡度、坡体形态、坡体完整性程度、库水面宽度、主风向与库岸夹角及坡体结构,根据其影响程度确定了它们的权重,将库岸稳定性分为良好、较好、较差和差四级。按照各个影响因素对斜坡和各级稳定性的影响不同,对各单因素进行离散化处理,得到各影响因素的隶属度矩阵。通过对各单因素矩阵与影响因素权重运算,得到各个单元分区的稳定性评价结果。运用该方法对新疆某水电站近坝库岸段20km的稳定性进行了评价,认为稳定性较差库岸段总长约4.1km,占20.3%,主要为地质灾害分布处及工程地质条件较差的地段。该综合评判成果与现场勘察及遥感解译结果较为一致。  相似文献   

PAN graphs An aid to GIS analysis     

CHRISTOPHER M. GOLD 《International journal of geographical information science》2013,27(1):29-41

Abstract

Many data structures are possible for the storage of topological information for computer-based maps. The PAN graph is here suggested as an aid in the selection of a strategy appropriate to the application. Examples are given for the mapping of triangular networks and Thiessen polygons. Application of the technique is appropriate to both education in, and design of, spatial data structures for automated cartography and geographical information systems  相似文献   

A constant key length coding scheme for linear quadtrees     

Henry Ker–Chang Chang  Chung–Yu Liou 《International journal of geographical information science》2013,27(2):205-218

ABSTRACT

Although the linear quadtree is popular in both image processing and GIS, most linear quadtree coding methods need in representation a bit length that is proportional to the resolution of images; the proportionality factor is replaced with a constant bit length that induces a more compact linear quadtree. We propose a linear quadtree coding scheme named constant key length quadtree coding (CKQC) that has advantages of easy implementation and decreased memory requirements. The proposed CKQC scheme is developed on the bases of node classification, order of traversal with breadth first and the Morton sequence. The major characteristic is to apply a constant bit length to construct quaternary codes. The bit length of each quaternary code is constant, either four or eight bits, no matter what the resolution of a raster image. In terms of memory space required and duration complexities, the overall performance is analyzed and compared with other methods to demonstrate the superiority of the proposed CKQC scheme. Several experimental results validate the applicability of the proposed scheme.  相似文献   

Representing geographical objects with scale‐induced indeterminate boundaries: A neural network‐based data model     

J. L. Silván‐Cárdenas  L. Wang  F. B. Zhan 《International journal of geographical information science》2013,27(3):295-318

The degree of uncertainty of many geographical objects has long been known to be in intimate relation with the scale of its observation and representation. Yet, the explicit consideration of scaling operations when modeling uncertainty is rarely found. In this study, a neural network‐based data model was investigated for representing geographical objects with scale‐induced indeterminate boundaries. Two types of neural units, combined with two types of activation function, comprise the processing core of the model, where the activation function can model either hard or soft transition zones. The construction of complex fuzzy regions, as well as lines and points, is discussed and illustrated with examples. It is shown how the level of detail that is apparent in the boundary at a given scale can be controlled through the degree of smoothness of each activation function. Several issues about the practical implementation of the model are discussed and indications on how to perform complex overlay operations of fuzzy maps provided. The model was illustrated through an example of representing multi‐resolution, sub‐pixel maps that are typically derived from remote sensing techniques.  相似文献