基于显示、生成偏好的序贯模糊选择函数的研究

本文分别在普通情况以及模糊情况下,对显示偏好、生成偏好合理化的序贯选择函数进行了一定的研究。首先,研究了该序贯合理的选择函数的选择结果与选择顺序无关的条件,其次,研究了选择函数与该序贯合理的选择函数之间的关系。     

Real Closed Graded Fields

We investigate homogeneous orderings on G-graded rings where G is an arbitrary ordered abelian group. For this we introduce the notion of real closed graded fields. We generalize the Artin–Schreier characterization of real closed fields to the graded context. We also characterize real closed graded fields in terms of the group G and in terms of its homogeneous elements of degree 0. Supported by DFG-project KN202/5-1.     

市场研究(Ⅰ):揭示竞争优势

ＳＡＳ系统提供了用于市场数据分析的许多方法，包括直观图示法和关联分析。这篇文章讨论直观图示法及其在ＳＡＳ系统中的实现。     

The hierarchical and social decision making procedure for bi-objective optimization problems by using the simple majority decision rule

Multi-objective optimization has been successfully applied to problems of industrial design, problems of quality control and production management, and problems of finance. The theme of these applications is how to choose the best solution for the decision makers out of a set of non-inferior solutions to a multi-objective optimization problem. For this purpose, an optimization model with hierarchical structure, whose lower problem is a multi-objective optimization problem and the upper problem is a preference optimization problem on a set of non-inferior solutions, must be constructed. This kind of hierarchical problems have been previously analyzed only with regard to linear programming problems by Benson[6]. In this paper, an algorithm is derived that provides a solution as a social choice, obtained by aggregating plural decision-makers' preferences. In the case of the simple majority rule, the bi-objective problem is transformed into an -parameter choice problem, and the golden section method is applied. The availability of the approach is demonstrated with the means of an illustrative example.Technische Universität BerlinFaculty of Science and Technology, Keio University     

镁铁和镁铝双羟基复合金属氧化物的结构和性能差异

Layered Double Hydroxides MgFe-LDH and MgAl-LDH have been prepared by the method involving separate nucleation and ageing steps. The structure analyses for these two materials show that the values of the parameters both a and c of MgAl-LDH are smaller than that of MgFe-LDH though their structures are similar, and MgAl-LDH with higher crystallinity is more easily formed than MgFe-LDH in the same preparing conditions. The IR analyses manifest that the structures of layer sheets and the orderings of the anions in the interlayer regions of MgAl-LDH are more regular than that of MgFe-LDH. The temperature programmed XRD analyses reveal that the diffraction peak of 003 reflections for MgAl-LDH could be seen after calcining at 300℃, while this peak for MgFe-LDH disappears after calcining at 200℃. Together with the TG-DTA analysis it can be concluded that the thermal stability of MgAl-LDH is obviously higher than that of MgFe-LDH.     

Particle swarm with equilibrium strategy of selection for multi-objective optimization

A new ranking scheme based on equilibrium strategy of selection is proposed for multi-objective particle swarm optimization (MOPSO), and the preference ordering is used to identify the “best compromise” in the ranking stage. This scheme increases the selective pressure, especially when the number of objectives is very large. The proposed algorithm has been compared with other multi-objective evolutionary algorithms (MOEAs). The experimental results indicate that our algorithm produces better convergence performance.     

Set choice problems with incomplete information about the preferences of the decision maker

We consider the problem of selecting a predetermined number of objects from a given finite set. It is assumed that the preferences of the decision maker on this set are only partially known. Our solution approach is based on the notions of optimal and non-dominated subsets. The properties of such subsets and the objects they contain are investigated. The implementation of the developed approach is discussed and illustrated by various examples.     

关于偏微分方程解的规模,恰当解,形式幂级数解和序的优化

基于Reid标准型,楔子(盒子)理论,吴方法解决了一些偏微分方程组的维数问题 -即解的规模,并给出了形式幂级数解并编制了算法．最重要的是给出了验证恰当解的优序-即Ⅱ-型序。     

Positive dependence orderings and stopping times

We study the positive dependence of pairs of stochastic processes and examine its relation with the properties of certain stopping times. Some special cases, such as dependent random walks, Gaussian processes and exchangeable sequences of elliptically contoured random variables, are taken into account.