A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems
Neutrosophic (NS) set hypothesis gives another way to deal with the vulnerabilities of the shortest path problems (SPP). Several researchers have worked on fuzzy shortest path problem (FSPP) in a fuzzy graph with vulnerability data and completely different applications in real world eventualities. H...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2019-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/AMultiObjectiveProgrammingApproach.pdf |
| _version_ | 1818276055958421504 |
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| author | Ranjan Kumar S A Edalatpanah Sripati Jha S. Broumi Ramayan Singh Arindam Dey |
| author_facet | Ranjan Kumar S A Edalatpanah Sripati Jha S. Broumi Ramayan Singh Arindam Dey |
| author_sort | Ranjan Kumar |
| collection | DOAJ |
| description | Neutrosophic (NS) set hypothesis gives another way to deal with the vulnerabilities of the shortest path problems (SPP). Several researchers have worked on fuzzy shortest path problem (FSPP) in a fuzzy graph with vulnerability data and completely different applications in real world eventualities. However, the uncertainty related to the inconsistent information and indeterminate information isn't properly expressed by fuzzy set. The neutrosophic set deals these forms of uncertainty. This paper presents a model for shortest path problem with various arrangements of integer-valued trapezoidal neutrosophic (INVTpNS) and integer-valued triangular neutrosophic (INVTrNS). We characterized this issue as Neutrosophic Shortest way problem (NSSPP). The established linear programming (LP) model solves the classical SPP that consists of crisp parameters. |
| first_indexed | 2024-12-12T22:39:34Z |
| format | Article |
| id | doaj.art-2ff6a9560285416eb63ac8ca93fc100b |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-12T22:39:34Z |
| publishDate | 2019-03-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-2ff6a9560285416eb63ac8ca93fc100b2022-12-22T00:09:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2019-03-012413414910.5281/zenodo.2595968A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path ProblemsRanjan KumarS A EdalatpanahSripati JhaS. BroumiRamayan SinghArindam DeyNeutrosophic (NS) set hypothesis gives another way to deal with the vulnerabilities of the shortest path problems (SPP). Several researchers have worked on fuzzy shortest path problem (FSPP) in a fuzzy graph with vulnerability data and completely different applications in real world eventualities. However, the uncertainty related to the inconsistent information and indeterminate information isn't properly expressed by fuzzy set. The neutrosophic set deals these forms of uncertainty. This paper presents a model for shortest path problem with various arrangements of integer-valued trapezoidal neutrosophic (INVTpNS) and integer-valued triangular neutrosophic (INVTrNS). We characterized this issue as Neutrosophic Shortest way problem (NSSPP). The established linear programming (LP) model solves the classical SPP that consists of crisp parameters.http://fs.unm.edu/NSS/AMultiObjectiveProgrammingApproach.pdfoptimization techniqueshortest path problemnetwork distributionTriangular neutrosophic fuzzy numbers |
| spellingShingle | Ranjan Kumar S A Edalatpanah Sripati Jha S. Broumi Ramayan Singh Arindam Dey A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems Neutrosophic Sets and Systems optimization technique shortest path problem network distribution Triangular neutrosophic fuzzy numbers |
| title | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems |
| title_full | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems |
| title_fullStr | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems |
| title_full_unstemmed | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems |
| title_short | A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems |
| title_sort | multi objective programming approach to solve integer valued neutrosophic shortest path problems |
| topic | optimization technique shortest path problem network distribution Triangular neutrosophic fuzzy numbers |
| url | http://fs.unm.edu/NSS/AMultiObjectiveProgrammingApproach.pdf |
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