在序线性拓扑空间中定义了广义凸集值映射。
In this paper, firstly the concept of generalized convex set-valued map is defined in ordered linear topological Spaces.
在线性拓扑空间中，定义了-广义锥凸集值映射的概念。
The concept of -generalized convex set-valued map is defined in linear topological space.
本文介绍了求解凸集上凹函数最优解的一种分支定界方法。
A branch and bound methods is proposed for minimizing concave function over a convex.
本文研究常曲率平面上的凸集，研究常曲平面上的凸集方法。
In this paper we investigate the convex set in a plane of constant curvature.
为降低特征点配准的计算量，提出了一种聚类凸集投影算法。
A clustering successive projection onto convex sets algorithm is presented for fast point matching.
在两个凸集之间引入了弱凸模糊映射和强凸模糊映射的概念。
The concepts of weak convex and strong convex fuzzy mapping are introduced between two convex sets.
它可以看作是序贯凸集投影算法结合聚类思想而得到的推广。
The resulting algorithm can be viewed as an extention of SPOCS by combining with clustering.
采用非传统概率方法—凸集方法来考虑地震动强度的不确定性。
In this paper we consider the uncertainty of seismic strength using convex set approach other then the traditional probabilistic method.
研究了序凸集的一些运算性质，得到了紧序凸集的序端点表示定理。
The representation theorem with order-extremal points is obtained for compact order-convex sets.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
在线性空间中引入近次似凸集值映射概念，获得了它的一些重要性质。
The nearly cone-subconvexlikeness of set-value maps is a very important generalized convexity in optimization theory, this note obtained th.
首先在实线性空间中定义了E -凸集并讨论了E -凸集的基本性质。
Firstly, E-convex sets are defined in real linear Spaces and some its properties are discussed.
研究了用凸集模型描述不确定参数时，多学科系统的不确定性分析方法。
The convex model theory is implemented to handle the uncertain parameters of multidisciplinary systems.
或许对象通过凸集、凸曲线或其它可度量向量空间中的结构来表示会更好。
Perhaps objects might be better represented by convex bodies, curves or by other structures in a metric vector space.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
模糊凸集的理论在模糊数学的理论研究与模糊数学的应用中都有着重要的作用。
Fuzzy convex in the theory of fuzzy math and fuzzy math theoretical research in the application of all have an important role.
为了改善超分辨率重建图像的效果，提出了一种基于线过程模型的凸集投影方法。
In order to improve the superresolution reconstruction of image, a method of projections onto convex sets (POCS) based on the line process modeling is proposed.
给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
第二章是预备知识，介绍了锥、锥凸集值函数、切锥与集值映射的切导数等的相关知识。
In chapter 2, we introduce the knowledge that the paper use, introducing these conception of cone, cone convex set-valued maps, tangent cones, and tangent derivatives of set-valued mapping, etc.
在模糊随机变量的基础上引入了模糊随机向量凸集的概念，给出了几个模糊随机凸集的例子。
Based on the concept of fuzzy random variable, the concept of convex sets of fuzzy random vectors is introduced, and some examples for such type of convex sets are given.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。
Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
本论文以凸体为研究对象，主要涉及两个方面的内容：平面凸集的凸包为闭集的充分必要条件；
The paper is concerned with two aspects:A necessary and sufficient condition for convex hull of a set in E2 being closed;
这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
The purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
通过离线设计一组椭圆不变集，并将其组合成一个终端约束凸集，其中凸集参数作为在线优化变量。
A group of ellipsoidal invariant sets is designed off-line, and then constitutes a terminal constraint convex set whose coefficients are taken as on-line optimization variables.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
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