基于广义方差的综合赋权方法研究

权重的确定是多属性决策中重要的基础工作之一，单纯的主、客观赋权法均有其自身难以克服的缺陷，综合赋权法则能够较好的弥补单纯方法的缺陷，得到更为合理的赋权结果。论文对现有综合赋权方法进行了比较、归纳、分类，分析了现有综合赋权方法的优缺点及适用范围，在此基础上提出了一种基于广义方差的线性综合赋权方法，并结合实例验证了其有效性。     

基于密切值法的组合赋权多属性决策方法研究

分析主观赋权、客观赋权方法在实际应用中的不足,运用密切值法原理,对多属性决策问题的权重确定采用主观赋权法与客观赋权法相结合的组合赋权思路,完善多属性决策问题的决策方法,并举例说明其合理性.     

预测组合权重更新的过程控制及分析

源于与决策分析的相关性,预测组合已经逐渐形成了一个重要的研究领域。为此,本文引进EWMA技术对预测组合权重更新的过程进行控制,从而提出一种能够应用于实际且简单有效的EWMA赋权方法。这种赋权方法能够确定预测组合权重应该何时更新,而不是机械地更新预测组合权重。本文额外针对各种赋权方法在旅游预测组合模型中的预测性能(全面预测性能和总均方根误差)和预测效率(权重更新频率)进行了经验评估。结果显示:EWMA赋权方法的预测性能优于传统的赋权方法,并与CUSUM赋权方法相似,同时该赋权方法获得了最小的权重更新频率。综合考虑预测性能和预测效率,EWMA赋权方法相比于其他赋权方法在旅游实际应用过程中更具优势。     

多属性决策的组合赋权法

鉴于多属性决策问题中主观赋权法和客观赋权法各有其自身固有的特点，本文依据优化理论提出一种集成方法确定属性权重，该方法既充分利用客观信息，又反映决策者的主观偏好，从而使确定的属性权重更加合理、实用．     

关于谱半径达到第二大的赋权树

赋权图的谱的研究已经被用来解决很多实际问题,网络设计以及电路设计实际上都依赖于赋权图．本文主要研究的是赋权树的谱半径,从而得到赋权树谱半径达到次大的是双星图Sn-3,1ω*．     

赋权图中的路和圈

本文研究了赋权图中的最长路和最长圈,将关于非赋权图中最长路和最长圈的一些结果推广到赋权图上.     

基于混合fuzzy entropy-TOPSIS法的供应链范式选择

针对精益、敏捷、精敏供应链范式选择决策涉及到多种定性指标和定量指标这一特点,提出一种基于模糊集理论、熵和TOPSIS的混合型多属性决策模型。为了避免主观赋权法无法反映客观条件变化,或客观赋权法无法反映专家经验的双重弊端,在对定量指标赋权时,采用主观赋权的三角模糊数法和客观赋权的熵权法对定量指标进行组合赋权。对于定性指标仅依靠三角模糊数法确定其权重。然后,运用fuzzy TOPSIS法选择出最佳的供应链范式。最后通过实例对模型进行验证以及对评价指标权重进行敏感性分析,证实了该模型能为企业选择适用自身运作的供应链范式提供高效方法。     

网络的分区连接问题

本研究了最小支撑树问题的一个变形——分区连接问题，即对给定的赋权图及其中若干个顶点，求赋权图的权最小支撑森林，使得它的每一个分支恰包含唯一的指定顶点。本给出了该问题的一个时间复杂性为O(|V|^2）的算法。此外，还研究了与该问题的相关的另外三个问题。     

赋权图的圆染色与区间染色

赋权图的区间染色的定义与赋权图的圆染色的定义非常类型,唯一的区别就是将Ｇ的顶点对应圆周上的孤换为Ｇ的顶点对应区间上的子区间,讨论了赋权的圆染色与区染色的关系。     

校园最佳游览路线问题的数学模型分析

将某高校的校园示意图转化为赋权连通图，求得该连通图的邻接矩阵，利用Floyd算法及图论软件包构造一个最短路径矩阵，得到一个赋权完全图，将求校园最佳游览路线问题归结为图论中的最佳推销员回路问题，建立混合整数线性规划模型，并利用优化软件求得最优解．从而解决了校园开放日游览计划中提出的关于校园最佳游览路线和校园游览车最优配置问题．     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

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.     

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.