概率语言多属性群决策方法及其在新型智慧城市市民获得感评价中的应用

针对公众参与的语言信息多属性群决策问题，研究了考虑参与者满意度的概率语言多属性群决策方法。首先，根据参与者的语言评价信息确定并规范化概率语言决策矩阵。然后，对大群体进行共识分析，由最大化参与者群体的满意度构建线性规划模型，确定参与者群组的权重；构造正、负理想方案的评价向量，构建多目标规划模型，用拉格朗日乘子法求解属性权重；定义各方案的加权贴近度，并以此对方案进行排序和优选。最后，通过新型智慧城市市民获得感评价案例验证了模型的可行性和有效性。     

ENTIRE FUNCTIONS REPRESENTED BY LAPLACE-STIELTJES TRANSFORMS CONCERNING THE APPROXIMATION AND GENERALIZED ORDER

The first aim of this paper is to investigate the growth of the entire function defined by the Laplace-Stieltjes transform converges on the whole complex plane.By introducing the concept of generalized order,we obtain two equivalence theorems of Laplace-Stiettjes transforms related to the generalized order,A_n^*andλ_n.The second purpose of this paper is to study the problem on the approximation of this Laplace-Stieltjes transform.We also obtain some theorems about the generalized order,the error,and the coefficients of Laplace-Stieltjes transforms,which are generalization and improvement of the previous results.     

On reparametrization and the Gibbs sampler

Gibbs samplers derived under different parametrizations of the target density can have radically different rates of convergence. In this article, we specify conditions under which reparametrization leaves the convergence rate of a Gibbs chain unchanged. An example illustrates how these results can be exploited in convergence rate analyses.     

Existence of solutions for impulsive differential models on half lines involving Caputo fractional derivatives

In this article, we establish existence results of at least one solution for two classes of initial value problems of nonlinear impulsive fractional differential models on half lines involving Caputo fractional derivatives. Our analysis rely on the well known fixed point theorem of Schauder and nonlinear alternative of Leray–Schauder type.     

Shorter nonparametric prediction intervals for an order statistic from a future sample

Standard nonparametric prediction intervals for a future order statistic are obtained by taking the interval between two order statistics of the initial sample. We obtain improved prediction intervals by taking the shortest of two or more standard intervals.     

一类带齐次核的奇异重积分算子的范数及其应用

设核函数K(u,v)具有对称性和齐次性,对如下定义的奇异重积分算子T:(Tf)(y)=∫R_+~n K(‖x‖α,‖y‖α)f(x)dx,y∈R_+~n,其中‖x‖α=(x_1~α+…+x_n~α)~1/α(α>0),研究了T的范数及其应用.     

Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.     

Remark on the Strichartz estimates in the radial case

We prove up to an endpoint the full radial Strichartz estimates for the Schrödinger-type equation in the radial case. Our results improve the one obtained in Guo and Wang (2011) [2]. The main ingredient is that we exploit some orthogonality to overcome the logarithmic divergence.     

基于“透过表面接枝”方式制备低分散性和高接枝密度聚合物刷的研究

"透过表面接枝"(grafting-through)是一种聚合物表面改性的新方法,可以显著改善传统grafting-from和grafting-to方法接枝工艺的缺陷,获得兼具高接枝密度和低分散性的聚合物刷产物.本文采用布朗动力学模拟方法,模拟研究了grafting-through方法接枝聚合物刷过程中的主控因素,从微观动力学角度阐明其特有的链增长趋同化效应是保持产物聚合物刷较低分散性的主因.引发效率在grafting-through中可显著提高,且产物聚合物刷的分子量呈现泊松分布.此外,反应中保持高的单体通量,可以同时实现产物聚合物较长的平均链长和较低的分散性,有利于制备性能优异的改性材料.该研究对深入理解grafting-through接枝过程的动力学主控因素,促进grafting-through技术的推广和工艺的改进具有一定的理论指导意义.     

单位圆内有限级拟亚纯映射在Borel半径上的充满圆

应用覆盖曲面的几何方法,对于单位圆内有限正级的K-拟亚纯映射在其Borel半径上的性质进行了研究,用比较简单的方法证明了单位圆内有限正级K-拟亚纯映射在其Borel半径上一定存在充满圆序列,推广了Rauch A的结果.