Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach

The portfolio optimization is one of the fundamental problems in asset management that aims to reduce the risk of an investment by diversifying it into assets expected to fluctuate independently. A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash eq...

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Main Author: Hamiden Abd El-Wahed Khalifa
Format: Article
Language:English
Published: Iranian Association for Energy Economics 2020-02-01
Series:Environmental Energy and Economic Research
Subjects:
Online Access:http://www.eeer.ir/article_103952_0eab5c0e6e98ab5e34f1d5cb4b06f391.pdf
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author Hamiden Abd El-Wahed Khalifa
author_facet Hamiden Abd El-Wahed Khalifa
author_sort Hamiden Abd El-Wahed Khalifa
collection DOAJ
description The portfolio optimization is one of the fundamental problems in asset management that aims to reduce the risk of an investment by diversifying it into assets expected to fluctuate independently. A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their funds counterparts, including mutual, exchange- traded and closed funds. A portfolio can also consist of non-publicly tradable securities, like real estate, art, and private investment. This paper aims to study stock portfolio investment problem with pythagorean fuzzy numbers. After converting the problem into the corresponding crisp based on the score function, a solution procedure is suggested to give the decision of the portfolio investment combined with investors in savings and securities. The advantages of this study are: The investor is freely to choose the risk coefficients enable him/ her to maximize the expected returns; also he may determine his/ her strategies under consideration of his/ her own conditions. An example is introduce to clarify the practically and the efficiency of the technique.
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spelling doaj.art-ea06402053194ccd91a94e09f042d4762022-12-22T01:33:03ZengIranian Association for Energy EconomicsEnvironmental Energy and Economic Research2538-49882676-49972020-02-014212713410.22097/eeer.2020.206494.1118103952Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy ApproachHamiden Abd El-Wahed Khalifa0Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, EgyptThe portfolio optimization is one of the fundamental problems in asset management that aims to reduce the risk of an investment by diversifying it into assets expected to fluctuate independently. A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their funds counterparts, including mutual, exchange- traded and closed funds. A portfolio can also consist of non-publicly tradable securities, like real estate, art, and private investment. This paper aims to study stock portfolio investment problem with pythagorean fuzzy numbers. After converting the problem into the corresponding crisp based on the score function, a solution procedure is suggested to give the decision of the portfolio investment combined with investors in savings and securities. The advantages of this study are: The investor is freely to choose the risk coefficients enable him/ her to maximize the expected returns; also he may determine his/ her strategies under consideration of his/ her own conditions. An example is introduce to clarify the practically and the efficiency of the technique.http://www.eeer.ir/article_103952_0eab5c0e6e98ab5e34f1d5cb4b06f391.pdfstock portfoliopythagorean fuzzy numbersscore functionpythagorean fuzzy optimal return rate
spellingShingle Hamiden Abd El-Wahed Khalifa
Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
Environmental Energy and Economic Research
stock portfolio
pythagorean fuzzy numbers
score function
pythagorean fuzzy optimal return rate
title Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
title_full Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
title_fullStr Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
title_full_unstemmed Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
title_short Characterizing Solution for Stock Portfolio Problem via Pythagorean Fuzzy Approach
title_sort characterizing solution for stock portfolio problem via pythagorean fuzzy approach
topic stock portfolio
pythagorean fuzzy numbers
score function
pythagorean fuzzy optimal return rate
url http://www.eeer.ir/article_103952_0eab5c0e6e98ab5e34f1d5cb4b06f391.pdf
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