偏好信息为模糊互反判断矩阵的模糊多属性决策法

研究只有部分权重信息且决策者对方案的偏好信息以模糊互反判断矩阵形式给出的模糊多属性决策问题。提出了一种基于目标规划模型的模糊多属性决策方法。该法首先基于模糊互反判断矩阵，利用转换函数将决策信息一致化，建立了一个目标规划模型．通过求解该模型确定属性的权重，然后运用加性加权法求出各方案的模糊综合属性值，并利用已有的三角模糊数排序公式求得决策方案的排序。文章最后把该法应用于解决风险投资领域中的项目评估问题。     

带有方案偏好关系的模糊多属性决策方法

针对属性值为一般模糊变量、属性权重信息完全未知但已知方案偏好关系的模糊多属性决策问题，给出了决策方法。首先通过求解一个模糊期望值模型来确定属性的权重，然后基于简单加权平均法则来计算各方案的模糊综合评价值,再根据比较模糊变量大小的期望值方法来对方案进行排序,最后给出一个算例。     

直觉模糊多属性决策的TOPSIS法

属性值和权重都是直觉模糊集的多属性决策问题不同于一般的多属性决策问题，不能运用现有的决策方法求解。本文给出了直觉模糊正、负理想方案的定义及其与每个方案的欧氏距离，进而建立了每个方案与直觉模糊正理想方案的相对贴近度计算方法，从此产生所有方案的优序排序，即拓展了TOPSIS法。数值实例说明了该方法的有效性和实用性，可为解决直觉模糊多属性决策提供新途径。     

基于偏好信息一致性程度最大的多属性决策方法

研究了方案偏好信息以区间数互反判断矩阵形式给出,属性偏好信息以区间数互补判断矩阵形式给出的不确定多属性决策问题。首先针对属性值以实数形式给出的多属性决策问题,基于区间数判断矩阵一致性的性质,建立了求解属性和方案偏好信息一致性程度最大化的线性规划模型,然后把其推广到属性值以区间数形式给出的多属性决策问题,最后通过一个算例说明了该方法的适用性和有效性。     

考虑决策者给出部分属性期望的风险型多属性决策方法

针对决策者给出部分属性期望的风险型多属性决策问题,提出了一种决策分析方法。在该方法中,首先,依据决策者在各自然状态下给出的属性期望信息,将原始决策问题转化为没有属性期望和具有属性期望的两个独立的风险型多属性决策问题;然后,针对没有属性期望的风险型多属性决策问题,依据期望效用理论,计算各属性下属性值所对应的效用值,进而得到每个方案的综合效用值;进一步地,针对具有属性期望的风险型多属性决策问题,依据累积前景理论,将决策者给出的属性期望视为属性的参照点,进而计算各属性值的前景价值及决策权重函数值并计算每个方案的综合累积前景值;在此基础上,计算得到每个方案的总体效用值,并依据总体效用值的大小对所有方案进行排序。最后,通过一个算例说明了该方法的可行性和有效性。     

基于投影的联系数多属性决策方法

针对属性权重和属性值均以联系数形式给出的区间型多属性决策问题,提出了一种基于投影的决策方法.方法依据一般投影分析方法的基本思路,给出了解决属性取值为联系数的多属性决策问题的计算步骤,核心是通过构建并求解每个方案在虚拟正、负理想方案上的投影,进而计算出每个方案对虚拟正、负理想方案的相对一致度,即可得到所有方案的排序结果,     

基于模糊语言评估有方案偏好的模糊多属性决策方法

针对属性值以模糊语言形式给出,属性权重完全未知但给出方案偏好信息的模糊多属性决策问题给出决策方法.该方法是将模糊语言给出的属性评估及方案偏好转换为梯形模糊数,通过建立一个不确定二次规划模型来确定属性的权重,基于加权平均法则来对规范化的模糊属性值及权重进行集结,利用模糊数大小比较的期望值方法来对方案进行排序和择优.最后给出一个应用实例.     

基于理想关联度的不确定多属性决策方法

针对只有部分属性权重信息且属性值以区间数形式给出的不确定多属性决策问题,提出了一种逼近理想关联度的决策分析方法。首先改进了文[4]给出的区间数决策矩阵的规范化方法;然后提出了利用期望-方差区间数排序方法求解理想最优方案;最后依据关联系数矩阵给出了属性权重信息不完全的区间数多属性决策问题的求解方法,其核心是求解线型规划得到属性权重,进而根据各个方案与理想最优方案的综合关联度大小进行排序。特别地,给出了属性权重完全未知的简洁方法,文后的实例验证了方法的可行性和有效性。     

基于模糊语言评估和GIOWA算子的多属性群决策方法

研究了方案的属性评估信息以模糊语言形式给出的多属性群决策问题,定义了一种模糊语言评估标度并给出其相应的三角模糊数表达方式.利用广义的导出有序加权平均(GIOWA)算子,对专家所给出的对应于各方案的属性评估信息进行了集结,并提出了一种基于模糊语言评估和GIOWA算子的多属性群决策方法.最后进行了实例分析.     

基于方案偏好值的属性关联区间多属性决策

针对属性值为区间数,属性权重完全未知,但给出方案的主观偏好值,部分属性偏好关系以及属性交互类型的属性关联多属性决策问题给出决策方法.首先建立期望值目标规划模型,确定出属性集的M(o|¨)bius表达式以及属性权重,然后利用扩展的区间Choquet积分算子对决策信息进行集结,计算出各方案的区间模糊综合评价值,再利用比较区间数的期望值方法,从而得到方案的最终排序.最后给出了分析实例以说明所提出方法的有效可行性.     

两类带有确定潜伏期的SEIS传染病模型的分析

通过研究两类带有确定潜伏期的SEIS传染病模型,发现对种群的常数输入和指数输入会使疾病的传播过程产生本质的差异．对于带有常数输入的情形,找到了地方病平衡点存在及局部渐近稳定的阈值,证明了地方病平衡点存在时一定局部渐近稳定,并且疾病一致持续存在．对于带有指数输入的情形,发现地方病平衡点当潜伏期充分小时是局部渐近稳定的,当潜伏期充分大时是不稳定的．     

一类共轭梯度法的全局收敛性

共轭梯度法是求解大规模元约束优化同题的一种有效方法，本文提出一种新的共轭梯度法，证明了在推广的Wolfe线搜索条件下方法具有全局收敛性。最后对算法进行了数值试验，试验结果表明该算法具有良好的收敛性和有效性。     

A KIND OF DOUBLY-PERIODIC PROBLEM IN PLANE ELASTICITY WITH CRACKS

In this paper, some kind of doubly-periodic problems in plane elasticity with cracks is discussed with complex variable method. Without loss of generality, it is assumed there is only one sufficiently smooth arc (crack) in the fundamental cell. The correct formulation of the problem is given. The problem is reduced to some singular integral equation with undetermined constants, which is proved to be uniquely solvable with the suitably chosen constants.     

A simplified expression of the Shapley function for fuzzy game

In this paper, a simplified expression of the Shapley function for games with fuzzy coalition is proposed, which can be regarded as the generalization of Shapley functions defined in some particular games with fuzzy coalition. The simplified expression of the Shapley function is compared with two definitions established by Butnariu, Tsurumi et al. A conclusion is drawn that the simplified expression of the Shapley function is equivalent to Butnariu’s definition when characteristic function is a game with proportional values, and is equivalent to Tsurumi’s definition when characteristic function is a game with Choquet integral forms. Furthermore, from an angle of interaction between two participation levels, the properties of the two games defined by Butnariu and Tsurumi are respectively studied.     

考虑公平偏好的供应链最优信用期和定价策略研究

论文将公平偏好引入商业信用供应链的运作中,研究公平偏好如何影响供应链的商业信用和定价策略。论文在三种情况下,即仅供应商关注公平,仅零售商关注公平和双方均关注公平,运用Stackelberg博弈分析了供应商的最优商业信用期及零售商的最优零售价格。研究发现,当零售商具有公平偏好时,零售价格与其公平偏好程度无关;零售商的公平偏好程度越大,供应商提供的商业信用期限越长。当仅供应商具有公平偏好时,供应商的公平偏好程度越大,零售商的零售价格越大,供应商提供的商业信用期限越短;当双方都具有公平偏好时,零售商的零售价格关于双方偏好均为增函数;供应商的商业信用期限为自身偏好系数的增函数,为零售商偏好系数的减函数。供应链成员的效用为自身偏好系数的增函数,对方偏好系数的减函数;双方具有公平偏好时,供应链利润小于无公平偏好时的供应链利润。     

Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion

This paper deals with the problem of a thermoelastic half-space with a permeating substance in contact with the bounding plane in the context of the theory of generalized thermoelastic diffusion with one relaxation time and with variable electrical and thermal conductivity. The bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock. The solution is obtained in the Laplace transform domain by a direct approach. A numerical technique is employed to obtain the solution in the physical domain. It is found that there exist two coupled waves, one of which is elastic and the other is thermal, and a third wave affects diffusion mainly. A comparison is made with the results obtained in a thermoelastic medium with and without diffusion in the following cases : (a) the electrical and thermal conductivities have constant values, (b) the presence of magnetic field and (c) the generalized theory in thermoelasticity. Received: June 1, 2005     

遗传算法、差分演化和一个处理约束的映射

S.Koziel和Z.Michalewicz(1999年)提出了一个处理约束的映射,研究该映射与不同算法相结合后的不同的代数结构.从理论上证明了当其与遗传算法相结合时,该映射是同构映射,而在差分演化算法的变异操作下,该映射不是同态映射,更不是同构映射.进而表明,该映射更适宜于与遗传算法相结合,而并不太适宜于与差分演化算法(及其类似的算法)相结合。     

ALTERING CONNECTIVITY WITH LARGE DEFORMATION MESH FOR LAGRANGIAN METHOD AND ITS APPLICATION IN MULTIPLE MATERIAL SIMULATION

A new approach for treating the mesh with Lagrangian scheme of finite volume method is presented. It has been proved that classical Lagrangian method is difficult to cope with large deformation in tracking material particles due to severe distortion of cells, and the changing connectivity of the mesh seems especially attractive for solving such issues. The mesh with large deformation based on computational geometry is optimized by using new method. This paper develops a processing system for arbitrary polygonal unstructured grid, the intelligent variable grid neighborhood technologies is utilized to improve the quality of mesh in calculation process, and arbitrary polygonal mesh is used in the Lagrangian finite volume scheme. The performance of the new method is demonstrated through series of numerical examples, and the simulation capability is efficiently presented in coping with the systems with large deformations.     

GENERALIZED FUZZY FILTERS OF BL-ALGEBRAS

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered.In fact,this is a generalization of quasi-coincidence of a fuzzy point With a fuzzy set.By using this new idea,the notion of interval valued(∈,∈∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras,is defined,and related properties are investigated.In particular,the concept of a fuzzy subgroup with thresholds is extended to the concept of an interval valued fuzzy filter with thresholds in BL-algebras.     

Further results on adaptive full-order and reduced-order observers for Lur’e differential inclusions

This paper is concerned with the adaptive observer design of Lur’e differential inclusions with unknown parameters. Under a relaxed assumption on nonlinear perturbation functions, a sufficient condition for the existence of an adaptive full-order observer is established. Comparing with results in the literature, the present conditions are complemented with a numerically reliable computational approach, which can be checked by means of linear matrix inequalities. Furthermore, it is shown that, under the sufficient condition, the existence of a reduced-order observer is guaranteed. Also, the reduced-order observer is designed. The effectiveness of the proposed design is illustrated via a simulation example.