Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle
This study presents a framework for addressing the fuzzy fractional three-stage transportation network (FFTSTN) in the context of sustainable conveyance. The proposed model considers the transportation costs and profits involved in moving goods from manufacturers to storage godowns, storage godowns...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Ain Shams Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447925000024 |
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| author | B. Baranidharan Gunji Bala Murali Zechun Cao G.S. Mahapatra |
| author_facet | B. Baranidharan Gunji Bala Murali Zechun Cao G.S. Mahapatra |
| author_sort | B. Baranidharan |
| collection | DOAJ |
| description | This study presents a framework for addressing the fuzzy fractional three-stage transportation network (FFTSTN) in the context of sustainable conveyance. The proposed model considers the transportation costs and profits involved in moving goods from manufacturers to storage godowns, storage godowns to distributors, and distributors to consumers. The primary aim of this study is to mitigate transportation expenses and assess transportation's environmental viability through reducing emissions. A generalized pentagonal fuzzy number (GPFN) is employed to address the uncertainty of parameters of the three-stage transportation network. The study established a methodology to explore solutions for the FFTSTN model without de-fuzzifying GPFNs. Additionally, it explored the economic sustainability and future transportation prospects using the extension principle to solve the proposed FFTSTN system. This solution approach considers the nonlinearity of the objective function by utilizing the Charnes-Cooper transformation technique for the problem. A numerical example shows applicability, validity, and comparison between the compromise solutions. |
| format | Article |
| id | doaj-art-90ea9a06246743ce86386b12cae60c46 |
| institution | Kabale University |
| issn | 2090-4479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj-art-90ea9a06246743ce86386b12cae60c462025-02-05T04:31:41ZengElsevierAin Shams Engineering Journal2090-44792025-02-01162103261Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principleB. Baranidharan0Gunji Bala Murali1Zechun Cao2G.S. Mahapatra3Department of Mathematics, National Institute of Technology Puducherry, Karaikal, 609609, IndiaSchool of Mechanical Engineering, Vellore Institute of Technology, Vellore, IndiaDepartment of Computer Science, Texas A&M University, San Antonio, TX, 78224, USADepartment of Mathematics, National Institute of Technology Puducherry, Karaikal, 609609, India; Corresponding author.This study presents a framework for addressing the fuzzy fractional three-stage transportation network (FFTSTN) in the context of sustainable conveyance. The proposed model considers the transportation costs and profits involved in moving goods from manufacturers to storage godowns, storage godowns to distributors, and distributors to consumers. The primary aim of this study is to mitigate transportation expenses and assess transportation's environmental viability through reducing emissions. A generalized pentagonal fuzzy number (GPFN) is employed to address the uncertainty of parameters of the three-stage transportation network. The study established a methodology to explore solutions for the FFTSTN model without de-fuzzifying GPFNs. Additionally, it explored the economic sustainability and future transportation prospects using the extension principle to solve the proposed FFTSTN system. This solution approach considers the nonlinearity of the objective function by utilizing the Charnes-Cooper transformation technique for the problem. A numerical example shows applicability, validity, and comparison between the compromise solutions.http://www.sciencedirect.com/science/article/pii/S2090447925000024Extension principleFractional programmingPentagonal fuzzyThree-stage transportationSustainability |
| spellingShingle | B. Baranidharan Gunji Bala Murali Zechun Cao G.S. Mahapatra Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle Ain Shams Engineering Journal Extension principle Fractional programming Pentagonal fuzzy Three-stage transportation Sustainability |
| title | Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle |
| title_full | Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle |
| title_fullStr | Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle |
| title_full_unstemmed | Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle |
| title_short | Pentagonal fuzzy fractional three-stage sustainable transportation network problem incorporating extension principle |
| title_sort | pentagonal fuzzy fractional three stage sustainable transportation network problem incorporating extension principle |
| topic | Extension principle Fractional programming Pentagonal fuzzy Three-stage transportation Sustainability |
| url | http://www.sciencedirect.com/science/article/pii/S2090447925000024 |
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