Title
Efficiency evaluation of fuzzy portfolio in different risk measures via DEA.
Abstract
In this paper, we discuss the fuzzy portfolio efficiency evaluation problem in different risk measures. Real frontier approach (RFA) is often used in portfolio performance assessment. However, the computation complexity and the real trading solution make it hard to achieve in practice. In this work, we first present three kinds of DEA (Data envelopment analysis) based fuzzy portfolio estimation models in different risk measures, i.e., possibilistic variance, possibilistic semi-variance, and possibilistic semi-absolute deviation, to evaluate the portfolio efficiency (PE). Furthermore, we carry out large amount of simulations with different sample sizes to compare our proposed models with RFA. All results demonstrate that with adequate sample size, the envelop frontier generated by our models can approximate the real effective portfolio frontier, and PE obtained by these two methods are highly related.
Year
DOI
Venue
2018
10.1007/s10479-017-2411-9
Annals OR
Keywords
Field
DocType
Portfolio evaluation, Real frontier approach, Fuzzy variable, DEA, Risk measure
Mathematical optimization,Fuzzy logic,Portfolio,Portfolio optimization,Data envelopment analysis,Risk measure,Computation complexity,Mathematics,Sample size determination
Journal
Volume
Issue
ISSN
269
1-2
1572-9338
Citations 
PageRank 
References 
7
0.44
21
Authors
3
Name
Order
Citations
PageRank
Wei Chen11711246.70
Yuxi Gai270.44
Pankaj Gupta31479133.85