多值映射

Two-phase-learning is adopted. The strongpoint is that intuitionistic knowledge can be used to control the segmentation by using input-weight and distant-weight. Examples prove that segmentation using SOFM network is right and efficient. Surface fitting is an absolutely necessarily process in REGM. Surface fitting includes algebraic and parametric surface fitting. Algebraic surface fitting has not extra requirement for data distribute format and boundary shape.

第三种方法把人工智能用于反向工程的数据分区，因为数据分区的实质是相似特征的聚类，而神经网络可以实现自组织特征映射，在本论文中第一次把自组织特征映射神经网络用于多视图点云的数据分区，通过神经网络对数据点的坐标、法向量等几何特征进行聚类，并且运用了快速稳定的训练方法——两阶段训练算法，最重要的是，通过距离权值和输入权值可以把用户观察所得的直观知识加入聚类过程。

The aim of this paper is to study the countability on I-fuzzy topological spaces.

本文主要是研究I-fuzzy拓扑空间中的可数性，提出I-fuzzy第一可数性、I-fuzzy第二可数性、I-fuzzy可分性、I-fuzzy Lindelf性等几种可数性的概念，界定了它们的特征性质，给出了它们之间的关系，还在第一可数I-fuzzy拓扑空间中用多值序列收敛对映射连续性进行刻画，更为重要的是得到了I-fuzzy拓扑空间中的I-fuzzy Lindelf定理。

Continuous transformation is used to construct an elementary inverse hysteresis operator. Then based on the EIHO, an expanded input space is constructed.

目前，对于非线性系统，经常采用的一种方法是利用逆模型直接补偿的方法，但迟滞的逆与迟滞相似，也是一种多值映射非线性。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

The characteristic expression of multi-value function by using Riemann surfaces is discussed, and the mapping from s-plane into w-plane is also analyzed. Then the relations between pole distribution of fractional-order systems and time-domain response are provided.

本文通过分析多值函数特性在黎曼平面中的表达以及，s-平面与w-平面的映射关系，给出了分数阶线性定常系统极点分布与时域响应的定性关系。

Firstly, by using asynchronous data dealing way of mapping measurements, point track of the multi-sensor measurements is composed. Secondly, SSR is used to modify the height information of the enemy target adaptively. Finally, by using the unscented JPDA algorithm, the sequential filtering fusion of asynchronous sampling measurements can be realized.

该算法首先通过测量值映射的异步数据处理方法对多传感器数据进行点迹的合成，然后通过二次雷达对敌方目标的高度信息进行自适应修正，最后用无味JPDA算法对按序到来的异步采样量测进行顺序滤波融合。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

The curved grids are generated by using the transfinite interpolation and the so-called multiblock techniques that originally developed for computation fluid dynamics.

该方法结合了多块映射和超限插值技术，这项技术出自计算流体力学，它可使产生的网格网线沿着地下所有界面变化。

The cone-subdifferential stability of efficicient point set of bilevel multiobjective optimization with perturbational parameters in lower level is considered.

借助集值映射最优化问题有效解的锥次微分稳定性理论，讨论了上层无扰动，下层带扰动参数的二层多目标最优化问题有效点集的锥次微分稳定性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐