Title
Multiperiod Fuzzy Portfolio Selection Optimization Model Based On Possibility Theory
Abstract
Using the central value operator and the semi-dispersion measure of fuzzy number, this paper proposes the definitions of the lower and upper semi-variances. A general multiperiod fuzzy portfolio optimization model with return demand on the portfolio at each period is proposed with the objectives of maximizing both terminal wealth and the cumulative diversification degree of portfolios over the whole investment horizon, and minimizing terminal risk. A fuzzy multiobjective nonlinear programming technique is applied to convert the proposed model into a single-objective model. A genetic algorithm (GA) is given to solve it. Besides, a numerical example is given to illustrate the application of the proposed model and the effectiveness of the designed algorithm.
Year
DOI
Venue
2018
10.1142/S0219622018500190
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING
Keywords
Field
DocType
Multiperiod portfolio selection, possibility theory, central value operator, entropy, multiobjective programming
Data mining,Mathematical optimization,Nonlinear programming,Fuzzy logic,Possibility theory,Portfolio,Portfolio optimization,Operator (computer programming),Fuzzy number,Genetic algorithm,Mathematics
Journal
Volume
Issue
ISSN
17
3
0219-6220
Citations 
PageRank 
References 
1
0.35
22
Authors
2
Name
Order
Citations
PageRank
Yong-Jun Liu11385.81
Wei-Guo Zhang255739.22