A Portfolio Selection Problem with Fuzzy Return Rate

被引:0
作者
Xu, Ruo-ning [1 ]
Zhai, Xiao-yan [2 ]
机构
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangzhou Univ Foreign Studies, Sch Management, Guangzhou 510420, Guangdong, Peoples R China
来源
FUZZY INFORMATION AND ENGINEERING, VOL 1 | 2009年 / 54卷
关键词
Portfolio selection; Convex quadratic programming; Fuzzy number; POSSIBILITY DISTRIBUTIONS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The aim of this paper is to develop a portfolio selection model with fuzzy return rate. Fuzzy number is used to model the anticipative return rate of security, and an index is defined to measure the variability of the portfolio return. By taking the possibilistic mean as the portfolio return and the variability as the portfolio risk, a portfolio selection model is constructed. It is shown that there exists an optimal solution in the model, and the solution can be obtained by solving a convex quadratic programming problem.
引用
收藏
页码:520 / +
页数:2
相关论文
共 12 条
[1]   A possibilistic approach to selecting portfolios with highest utility score [J].
Carlsson, C ;
Fullér, R ;
Majlender, P .
FUZZY SETS AND SYSTEMS, 2002, 131 (01) :13-21
[2]   THE MEAN-VALUE OF A FUZZY NUMBER [J].
DUBOIS, D ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1987, 24 (03) :279-300
[3]   Possibilistic linear programming:: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem [J].
Inuiguchi, M ;
Ramík, J .
FUZZY SETS AND SYSTEMS, 2000, 111 (01) :3-28
[4]   Portfolio selection under independent possibilistic information [J].
Inuiguchi, M ;
Tanino, T .
FUZZY SETS AND SYSTEMS, 2000, 115 (01) :83-92
[5]   PORTFOLIO SELECTION [J].
Markowitz, Harry .
JOURNAL OF FINANCE, 1952, 7 (01) :77-91
[6]   Portfolio selection based on upper and lower exponential possibility distributions [J].
Tanaka, H ;
Guo, P .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 114 (01) :115-126
[7]   Portfolio selection based on fuzzy probabilities and possibility distributions [J].
Tanaka, H ;
Guo, P ;
Türksen, IB .
FUZZY SETS AND SYSTEMS, 2000, 111 (03) :387-397
[8]  
Xu R., 2002, FUZZY SYSTEMS MATH, V16, P299
[9]  
[许若宁 XU Ruoning], 2008, [模糊系统与数学, Fuzzy Systems and Mathematics], V22, P120
[10]  
[许若宁 Xu Ruoning], 2002, [模糊系统与数学, Fuzzy Systems and Mathematics], V16, P100