An integrated multi-objective Markowitz-DEA cross-efficiency model with fuzzy returns for portfolio selection problem

被引:77
作者
Mashayekhi, Zahra [1 ]
Omrani, Hashem [1 ]
机构
[1] Urmia Univ Technol, Fac Ind Engn, Orumiyeh, Iran
关键词
Portfolio selection; Markowitz's mean-variance model; Data envelopment analysis (DEA); Fuzzy numbers; Non dominated sorting genetic algorithm II (NSGA-II); DATA ENVELOPMENT ANALYSIS; REBALANCING MODEL; OPTIMIZATION; VARIANCE; CONSTRAINTS;
D O I
10.1016/j.asoc.2015.09.018
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a novel multi objective model is proposed for portfolio selection. The proposed model incorporates the DEA cross-efficiency into Markowitz mean-variance model and considers return, risk and efficiency of the portfolio. Also, in order to take uncertainty in proposed model, the asset returns are considered as trapezoidal fuzzy numbers. Due to the computational complication of the proposed model, the second version of non-dominated sorting genetic algorithm (NSGA-II) is applied. To illustrate the performance of our model, the model is implemented for 52 firms listed in stock exchange market of Iran and the results are analyzed. The results show that the proposed model is suitable in compared with Markowitz and DEA models due to considering return, risk and efficiency, simultaneously. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 40 条
[1]   A portfolio optimization model with three objectives and discrete variables [J].
Anagnostopoulos, K. P. ;
Mamanis, G. .
COMPUTERS & OPERATIONS RESEARCH, 2010, 37 (07) :1285-1297
[2]   Fuzzy turnover rate chance constraints portfolio model [J].
Barak, Sasan ;
Abessi, Masoud ;
Modarres, Mohammad .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2013, 228 (01) :141-147
[3]   A multi-objective genetic algorithm for cardinality constrained fuzzy portfolio selection [J].
Bermudez, J. D. ;
Segura, J. V. ;
Vercher, E. .
FUZZY SETS AND SYSTEMS, 2012, 188 (01) :16-26
[4]   Fuzzy mean-variance-skewness portfolio selection models by interval analysis [J].
Bhattacharyya, Rupak ;
Kar, Samarjit ;
Majumder, Dwijesh Dutta .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (01) :126-137
[5]   Diversification-consistent data envelopment analysis with general deviation measures [J].
Branda, Martin .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2013, 226 (03) :626-635
[6]   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
[7]   On possibilistic mean value and variance of fuzzy numbers [J].
Carlsson, C ;
Fullér, R .
FUZZY SETS AND SYSTEMS, 2001, 122 (02) :315-326
[8]   Heuristics for cardinality constrained portfolio optimisation [J].
Chang, TJ ;
Meade, N ;
Beasley, JE ;
Sharaiha, YM .
COMPUTERS & OPERATIONS RESEARCH, 2000, 27 (13) :1271-1302
[9]   Portfolio optimization problems in different risk measures using genetic algorithm [J].
Chang, Tun-Jen ;
Yang, Sang-Chin ;
Chang, Kuang-Jung .
EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (07) :10529-10537
[10]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444