Genetic algorithms for portfolio selection problems with minimum transaction lots

Conventionally, portfolio selection problems are solved with quadratic or linear programming models. However, the solutions obtained by these methods are in real numbers and difficult to implement because each asset usually has its minimum transaction lot. Methods considering minimum transaction lots were developed based on some linear portfolio optimization models. However, no study has ever investigated the minimum transaction lot problem in portfolio optimization based on Markowitz’ model, which is probably the most well-known and widely used. Based on Markowitz’ model, this study presents three possible models for portfolio selection problems with minimum transaction lots, and devises corresponding genetic algorithms to obtain the solutions. The results of the empirical study show that the portfolios obtained using the proposed algorithms are very close to the efficient frontier, indicating that the proposed method can obtain near optimal and also practically feasible solutions to the portfolio selection problem in an acceptable short time. One model that is based on a fuzzy multi-objective decision-making approach is highly recommended because of its adaptability and simplicity.     

Shapley mappings and the cumulative value for n-person games with fuzzy coalitions

In this paper we prove existence and uniqueness of the so-called Shapley mapping, which is a solution concept for a class of n-person games with fuzzy coalitions whose elements are defined by the specific structure of their characteristic functions. The Shapley mapping, when it exists, associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a “cumulative value” that is the “sum” of all coalitional allocations for whose computation we provide an explicit formula.     

Commutative POVMs and Fuzzy Observables

In this paper we review some properties of fuzzy observables, mainly as realized by commutative positive operator valued measures. In this context we discuss two representation theorems for commutative positive operator valued measures in terms of projection valued measures and describe, in some detail, the general notion of fuzzification. We also make some related observations on joint measurements. This article is dedicated to Pekka Lahti on the occasion of his 60th birthday.     

Notherian IS-代数

引入Notherian IS-代数的概念,刻画其性质和特征.     

顾客满意度测评的模糊集合论模型

基于国际通用的顾客满意度测评的计量经济学模型，应用模糊综合评判和模糊推理建立顾客满意度测评的模糊集合论模型，介绍“五一黄金周”旅游市场顾客满意度测评的实证研究。     

基于极大模糊熵原理的模糊推理三I算法

用模糊熵来度量模糊推理结果的模糊程度，并用本文给出的极大模糊熵原理对王国俊先生提出的模糊推理三Ⅰ算法做进一步的解释和改进，提出基于极大模糊熵原理的模糊推理三Ⅰ算法，证明这几种算法在一定条件下是关系再现算法。     

模糊错误逻辑分解转化词与内涵否定词的逻辑关系

在文 [1]的基础上 ,在简单分析现时中错误的传递与转化的实际存在的同时 ,介绍国内外在逻辑研究领域对事物传递与转化规律的研究现状。特别为了探索控制与防范证券风险的技术而主要研究模糊错误逻辑分解转化词与内涵否定词的逻辑关系。     

非光滑总体优化的区间算法[英文]

本文利用区间工具及目标函数的特殊导数，给出一个非光滑总体优化的区间算法，该算法提供了目标函数总体极小值及总体极小点的取值界限（在给定的精度范围内）。我们也将算法推广到并行计算中。数值实验表明本文方法是可靠和有效的。     

Note on Wong's paper

Using the method of interval integral average, we establish some new oscillation criteria which improve the oscillation criteria due to James S.W. Wong.     

模拟研究推流式曝气池内横向水流对气泡生成的影响

应用限制项改进Level Set方法的容积守恒性.以改进的Level Set方法,结合ALE数值算法,三维模拟研究了推流式曝气池内横向水流对气泡生成的影响.模拟结果与文献中实验结果定性符合.数值结果显示,曝气池内横向水流对气泡的生成过程有重要的影响:气泡生成的尺寸和时间随着水流速度的增加而减小,随着曝气速度的增加而增加.该研究从流体动力学角度为提高活性污泥法处理效率提供了理论依据.