A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems
This study introduces a novel method for addressing the pentagonal quadratic fractional programming problem (PQFPP). We employ pentagonal neutrosophic numbers for the objective function's cost, resources, and technological coefficients. The paper transforms the PQFPP into a standard quadratic f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2023-10-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/ComputationalNeutrosophicUncertainty38.pdf |
| _version_ | 1797658223218524160 |
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| author | S.A. Edalatpanah E. Abdolmaleki Hamiden Abd El- Wahed Khalifa Sapan Kumar Das |
| author_facet | S.A. Edalatpanah E. Abdolmaleki Hamiden Abd El- Wahed Khalifa Sapan Kumar Das |
| author_sort | S.A. Edalatpanah |
| collection | DOAJ |
| description | This study introduces a novel method for addressing the pentagonal quadratic fractional programming problem (PQFPP). We employ pentagonal neutrosophic numbers for the objective function's cost, resources, and technological coefficients. The paper transforms the PQFPP into a standard quadratic fractional programming (QFP) problem via the score function. By leveraging the Taylor series approach, the modified QFP is simplified to a single-objective linear programming (LP) task, amenable to resolution through conventional LP algorithms or software tools. A numerical example serves to demonstrate the efficacy of the suggested approach. Moreover, comparative analyses and benefits reveal that the newly developed techniques outperform existing solutions in current scholarly works. |
| first_indexed | 2024-03-11T17:56:09Z |
| format | Article |
| id | doaj.art-711b385da3aa4017ab7407fe0178a41a |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-11T17:56:09Z |
| publishDate | 2023-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-711b385da3aa4017ab7407fe0178a41a2023-10-17T12:31:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-10-015861163010.5281/zenodo.8404542A novel computational method for neutrosophic uncertainty related quadratic fractional programming problemsS.A. EdalatpanahE. AbdolmalekiHamiden Abd El- Wahed Khalifa Sapan Kumar DasThis study introduces a novel method for addressing the pentagonal quadratic fractional programming problem (PQFPP). We employ pentagonal neutrosophic numbers for the objective function's cost, resources, and technological coefficients. The paper transforms the PQFPP into a standard quadratic fractional programming (QFP) problem via the score function. By leveraging the Taylor series approach, the modified QFP is simplified to a single-objective linear programming (LP) task, amenable to resolution through conventional LP algorithms or software tools. A numerical example serves to demonstrate the efficacy of the suggested approach. Moreover, comparative analyses and benefits reveal that the newly developed techniques outperform existing solutions in current scholarly works.https://fs.unm.edu/NSS/ComputationalNeutrosophicUncertainty38.pdfquadratic fractional programmingscore functiontaylor serieslinear programmingdecision makingoptimal solution |
| spellingShingle | S.A. Edalatpanah E. Abdolmaleki Hamiden Abd El- Wahed Khalifa Sapan Kumar Das A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems Neutrosophic Sets and Systems quadratic fractional programming score function taylor series linear programming decision making optimal solution |
| title | A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| title_full | A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| title_fullStr | A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| title_full_unstemmed | A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| title_short | A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| title_sort | novel computational method for neutrosophic uncertainty related quadratic fractional programming problems |
| topic | quadratic fractional programming score function taylor series linear programming decision making optimal solution |
| url | https://fs.unm.edu/NSS/ComputationalNeutrosophicUncertainty38.pdf |
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