Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique

In this paper we have considered a multi-objective asset portfolio selection optimization model with the objectives maximization of the expected return of the portfolio and simultaneously minimizing the overall risk of the asset portfolio. Our model is an improved and enlarged version in a particula...

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Main Authors: Rahul Chaudhury, Sahidul Islam
Format: Article
Language:English
Published: University of New Mexico 2022-06-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/PortfolioSelectionNeutrosophic20.pdf
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author Rahul Chaudhury
Sahidul Islam
author_facet Rahul Chaudhury
Sahidul Islam
author_sort Rahul Chaudhury
collection DOAJ
description In this paper we have considered a multi-objective asset portfolio selection optimization model with the objectives maximization of the expected return of the portfolio and simultaneously minimizing the overall risk of the asset portfolio. Our model is an improved and enlarged version in a particular direction. In our model we had incorporated transaction cost in the first objective. We had considered absolute deviation as risk measure. Our portfolio optimization model had been solved by generalized neutrosophic goal programming method. For applicability of this technique and demonstration of the methodology we have illustrated it numerically by data taken from National Stock Exchange (NSE). And finally the result obtained using generalized neutrosophic goal programming approach is compared with that of the result obtained different method of aggregation for objective functions
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spelling doaj.art-7a00b16b08db4cf29957c5dead7c6c922022-12-22T02:37:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-06-015035637110.5281/zenodo.6774835Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming TechniqueRahul ChaudhurySahidul IslamIn this paper we have considered a multi-objective asset portfolio selection optimization model with the objectives maximization of the expected return of the portfolio and simultaneously minimizing the overall risk of the asset portfolio. Our model is an improved and enlarged version in a particular direction. In our model we had incorporated transaction cost in the first objective. We had considered absolute deviation as risk measure. Our portfolio optimization model had been solved by generalized neutrosophic goal programming method. For applicability of this technique and demonstration of the methodology we have illustrated it numerically by data taken from National Stock Exchange (NSE). And finally the result obtained using generalized neutrosophic goal programming approach is compared with that of the result obtained different method of aggregation for objective functionshttp://fs.unm.edu/NSS/PortfolioSelectionNeutrosophic20.pdfportfoliogeneralized neutrosophic goal programmingarithmetic aggregationgeometric aggregation
spellingShingle Rahul Chaudhury
Sahidul Islam
Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
Neutrosophic Sets and Systems
portfolio
generalized neutrosophic goal programming
arithmetic aggregation
geometric aggregation
title Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
title_full Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
title_fullStr Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
title_full_unstemmed Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
title_short Multi-objective Mathematical Model for Asset Portfolio Selection using Neutrosophic Goal Programming Technique
title_sort multi objective mathematical model for asset portfolio selection using neutrosophic goal programming technique
topic portfolio
generalized neutrosophic goal programming
arithmetic aggregation
geometric aggregation
url http://fs.unm.edu/NSS/PortfolioSelectionNeutrosophic20.pdf
work_keys_str_mv AT rahulchaudhury multiobjectivemathematicalmodelforassetportfolioselectionusingneutrosophicgoalprogrammingtechnique
AT sahidulislam multiobjectivemathematicalmodelforassetportfolioselectionusingneutrosophicgoalprogrammingtechnique