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1.
评价指标权重不能完全确定的多指标决策方法研究   总被引:5,自引:1,他引:4  
张吉军 《运筹与管理》2001,10(4):151-153
评价指标权重不能完全确定的多指标决策问题是指指标的权重虽然不能完全确定,但却知道其所在区域的多指标决策问题,首先指出了前人研究的不足,然后给出了评价指标权重不能完全确定的指标决策问题的逼近理想点法,最后用本给出的方法分析了献[1]给出的实际问题。  相似文献   

2.
多指标席位分配模型及其应用   总被引:1,自引:0,他引:1  
将经典席位分配模型推广,建立了多指标席位分配模型,它是一个有界整数变量非线性规划模型。将模型转化为非线性连续规划模型,因而可用各种具有良好收敛性和收敛速度的求解非线性连续规划的算法求解。给出多指标席位分配模型的一个简单有效的算法。最后实例说明多指标席位分配模型应用更加合理、更加广泛。  相似文献   

3.
时序多指标决策的灰色关联分析法   总被引:12,自引:0,他引:12  
本文对带有时间顺序的混合型多指标决策,运用灰色关联理论,建立了一种新的灰色关联决策模型,从而为时序多指标决策问题提供了又一科学,合理的决策方法。  相似文献   

4.
定量型多指标决策的层次分析法探讨   总被引:2,自引:0,他引:2  
本文采用等级标度与层次分析综合的方法对定量型多指标决策问题进行了讨论,它既是层次分析法在定量型多指标决策中的合理推广,同时也为定量型多指标决策问题提供了一种行之有效的方法.  相似文献   

5.
研究多个指标条件下,利用个体决策结果形成群体一致偏好的方法、假设个体有加性效用函数,将个体多指标效用函数表示成单个指标评价函数的加权和,群体指标评价函数表示成个体指标评价函数的加权和.通过协商指标权重、指标评价函数、支付意愿三个参数,成对个体达成双方一致.提出了(n-1)对个体之间达成双方一致,从而得出群体效用函数的决策方法,这种分析框架同样可以扩展到联盟协商一致中.  相似文献   

6.
时序多指标决策及其在证券投资中的应用   总被引:2,自引:0,他引:2  
对于带有时间顺序的动态多指标决策问题,我们从专家偏好和信息熵两方面综合确定了指标权重,进而在关联分析的基础上,建立了时序多指标决策综合优化模型,并将其应用于证券投资领域.  相似文献   

7.
引言 单指标R_+=[0,∞[一个子集S的“初遇”就是S的下确界′D(S)=inf t∈R_+,如果S是闭集(或者更弱些,关于右拓扑是闭的),则D(S)∈S.如此简单的事实,其随机化所得到的停时概念在单指标随机过程论中起着相当重要的作用,这是众所周知的.停时概念到多指标随机过程的推广有多种形式,但只要把初遇概念,特别是它的分解搞清楚,各  相似文献   

8.
在多指标群体决策问题中,将个体决策的决策向量集结为群体决策的综合评判值是决策的关键,其中也涉及到决策专家的权威性比重问题.在五标度赋值确定专家权威性比重的基础上,以最小二乘法为工具,建立了一种群体决策的目标优化模型,从而为多指标群体决策问题提供了又一科学而合理的决策方法.  相似文献   

9.
李德立 《数学学报》1990,33(3):402-413
本文检验在独立同分布随机变量序列情形下,多指标强极限定理与单指标强极限定理的关系和区别,获得了有关多指标叠对数律形态的一些结果;特别本文给出了一个在单指标情形成立而在多指标情形不成立的结果。  相似文献   

10.
对于一个多指标决策问题,证据理论可以通过构造辨识框架和基本概率分配函数、采取递归的证据合成方法。计算出原始数据在反映多个指标联合作用的情况下对不同判别结果的支持程度,并可以在信息复杂或数据不完整的条件下做出评估决策。本文首先建立基于证据推理的多指标评估问题的基本模型,然后引入了模糊数据方法以处理具有模糊概念或推理关系的复杂问题,同时还考虑了实际问题中可能出现加权证据或者相关证据的情况,其目的是为了建立一套具有实用性的、准确有效的多指标评估模型。文章最后设计一个风险评估的算例,分析了该方法的优点以及需要进一步完善之处。  相似文献   

11.
In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria.  相似文献   

12.
We prove several relations on multiple Hurwitz–Riemann zeta functions. Using analytic continuation of these multiple Hurwitz–Riemann zeta functions, we quote at negative integers Euler's nonlinear relation for generalized Bernoulli polynomials and numbers. As an application, we give a general convolution identity for Bernoulli numbers.  相似文献   

13.
We show the modular properties of the multiple “elliptic” gamma functions, which are an extension of those of the theta function and the elliptic gamma function. The modular property of the theta function is known as Jacobi's transformation, and that of the elliptic gamma function was provided by Felder and Varchenko. In this paper, we deal with the multiple sine functions, since the modular properties of the multiple elliptic gamma functions result from the equivalence between two ways to represent the multiple sine functions as infinite products.We also derive integral representations of the multiple sine functions and the multiple elliptic gamma functions. We introduce correspondences between the multiple elliptic gamma functions and the multiple sine functions.  相似文献   

14.
覆盖曲面定理与代数体函数的重值   总被引:9,自引:0,他引:9  
高宗升  王凤竹 《数学学报》2001,44(5):805-814
本文改进了Tsuji著名的球面有限连通覆盖定理,应用它建立了关于涉及代数体函数重值的基本不等式,并由此导出了有限正级代数体函数涉及其重值的充满圆序列及Borel方向的精确结果.  相似文献   

15.
In this paper we study a generalized multiple stochastic integral for non-adapted integrands following Skorohod's approach. The main properties of this integral are derived. In particular, we prove a Fubini type result and discuss the relation of this multiple integral to the Malliavin calculus. It turns out that this integral includes other kinds of multiple stochastic integrals like those of Hajek and Wong. Finally, we apply these results to the representation of functionals of the multiparameter Wiener process, obtaining explicit formulas for the kernels of the representation in terms of conditional expectations of Malliavin derivatives  相似文献   

16.
In this paper, we verify the Cauchy operator identities by a new method. And by using the Cauchy operator identities, we obtain a generating function for Rogers-Szegö polynomials. Applying the technique of parameter augmentation to two multiple generalizations of q-Chu-Vandermonde summation theorem given by Milne, we also obtain two multiple generalizations of the Kalnins-Miller transformation.  相似文献   

17.
We investigate multiple Charlier polynomials and in particular we will use the (nearest neighbor) recurrence relation to find the asymptotic behavior of the ratio of two multiple Charlier polynomials. This result is then used to obtain the asymptotic distribution of the zeros, which is uniform on an interval. We also deal with the case where one of the parameters of the various Poisson distributions depends on the degree of the polynomial, in which case we obtain another asymptotic distribution of the zeros.  相似文献   

18.
Under minimal constraints on the coefficients, we prove uniqueness theorems for multiple trigonometric series in which, instead of pointwise convergence, we consider the convergence of integral means of spherical, cubic, and other partial sums. We also obtain sufficient conditions for the integrability of multiple trigonometric series, i.e., conditions under which these series are Fourier series.  相似文献   

19.
In this paper, we study multiple existence of solutions of an elliptic system on a flat torus arising from the self-dual Maxwell-Chern-Simons O(3) sigma model. Using the Leray-Schauder degree, we find an explicit range of κ and q for which we have at least two vortex-antivortex solutions. For vortex solutions, we provide a complete picture of the range of κ and q for multiple existence of solutions.  相似文献   

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