Solving fully neutrosophic linear programming problem with application to stock portfolio selection
Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal...
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| Format: | Article |
| Language: | English |
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Croatian Operational Research Society
2020-01-01
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| Series: | Croatian Operational Research Review |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/361230 |
| _version_ | 1827282349622034432 |
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| author | Hamiden Abd El-Wahed Khalifa Pavan Kumar |
| author_facet | Hamiden Abd El-Wahed Khalifa Pavan Kumar |
| author_sort | Hamiden Abd El-Wahed Khalifa |
| collection | DOAJ |
| description | Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal neutrosophic numbers is formulated and solved. A new method based on the so-called score function to find the neutrosophic optimal solution of fully neutrosophic linear programming (FNLP) problem is proposed. This method is more flexible than the linear programming (LP) problem, where it allows the decision maker to choose the preference he is willing to take. A stock portfolio problem is introduced as an application. Also, a numerical example is given to illustrate the utility and practically of the method. |
| first_indexed | 2024-04-24T09:17:47Z |
| format | Article |
| id | doaj.art-0f4c46b5f6ef48e7b1b97e7a03ffa2c9 |
| institution | Directory Open Access Journal |
| issn | 1848-0225 1848-9931 |
| language | English |
| last_indexed | 2024-04-24T09:17:47Z |
| publishDate | 2020-01-01 |
| publisher | Croatian Operational Research Society |
| record_format | Article |
| series | Croatian Operational Research Review |
| spelling | doaj.art-0f4c46b5f6ef48e7b1b97e7a03ffa2c92024-04-15T16:33:01ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312020-01-0111216517610.17535/crorr.2020.0014Solving fully neutrosophic linear programming problem with application to stock portfolio selectionHamiden Abd El-Wahed Khalifa0Pavan Kumar1Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, EgyptSchool of Advanced Science and Languages, VIT Bhopal University Sehore, IndiaNeutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal neutrosophic numbers is formulated and solved. A new method based on the so-called score function to find the neutrosophic optimal solution of fully neutrosophic linear programming (FNLP) problem is proposed. This method is more flexible than the linear programming (LP) problem, where it allows the decision maker to choose the preference he is willing to take. A stock portfolio problem is introduced as an application. Also, a numerical example is given to illustrate the utility and practically of the method.https://hrcak.srce.hr/file/361230linear programmingneutrosophic programmingsingle-valued trapezoidal neutrosophic numbersscore functionstock profit |
| spellingShingle | Hamiden Abd El-Wahed Khalifa Pavan Kumar Solving fully neutrosophic linear programming problem with application to stock portfolio selection Croatian Operational Research Review linear programming neutrosophic programming single-valued trapezoidal neutrosophic numbers score function stock profit |
| title | Solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| title_full | Solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| title_fullStr | Solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| title_full_unstemmed | Solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| title_short | Solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| title_sort | solving fully neutrosophic linear programming problem with application to stock portfolio selection |
| topic | linear programming neutrosophic programming single-valued trapezoidal neutrosophic numbers score function stock profit |
| url | https://hrcak.srce.hr/file/361230 |
| work_keys_str_mv | AT hamidenabdelwahedkhalifa solvingfullyneutrosophiclinearprogrammingproblemwithapplicationtostockportfolioselection AT pavankumar solvingfullyneutrosophiclinearprogrammingproblemwithapplicationtostockportfolioselection |