Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length
In traditional shortest path problem it is always determined that the parameters (Time, Cost and Distance etc.) are fixed between different nodes. But in real life situations where uncertain parameters exist, parameters are considered as fuzzy numbers. In this paper, we explained the application sc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education, Iran
2017-03-01
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| Series: | Journal of Applied Research on Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.journal-aprie.com/article_48858.html |
| _version_ | 1818904630240739328 |
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| author | Ranjan Kumar Sripati Jha Ramayan Singh |
| author_facet | Ranjan Kumar Sripati Jha Ramayan Singh |
| author_sort | Ranjan Kumar |
| collection | DOAJ |
| description | In traditional shortest path problem it is always determined that the parameters (Time, Cost and Distance etc.) are fixed between different nodes. But in real life situations where uncertain parameters exist, parameters are considered as fuzzy numbers. In this paper, we explained the application scope of the given fuzzy ranking function. Using this method we can determine both the fuzzy shortest path and fuzzy shortest Distance from origin to Destination. |
| first_indexed | 2024-12-19T21:10:29Z |
| format | Article |
| id | doaj.art-22981ff565e34950abb6bd860a977d00 |
| institution | Directory Open Access Journal |
| issn | 2538-5100 |
| language | English |
| last_indexed | 2024-12-19T21:10:29Z |
| publishDate | 2017-03-01 |
| publisher | Ayandegan Institute of Higher Education, Iran |
| record_format | Article |
| series | Journal of Applied Research on Industrial Engineering |
| spelling | doaj.art-22981ff565e34950abb6bd860a977d002022-12-21T20:05:30ZengAyandegan Institute of Higher Education, IranJournal of Applied Research on Industrial Engineering2538-51002017-03-01411710.22105/JARIE.2017.48858Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc LengthRanjan Kumar0Sripati Jha1Ramayan Singh2Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014,IndiaDepartment of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014,IndiaDepartment of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014,IndiaIn traditional shortest path problem it is always determined that the parameters (Time, Cost and Distance etc.) are fixed between different nodes. But in real life situations where uncertain parameters exist, parameters are considered as fuzzy numbers. In this paper, we explained the application scope of the given fuzzy ranking function. Using this method we can determine both the fuzzy shortest path and fuzzy shortest Distance from origin to Destination.http://www.journal-aprie.com/article_48858.htmltype –2 triangular fuzzy numberfuzzy shortest pathranking function |
| spellingShingle | Ranjan Kumar Sripati Jha Ramayan Singh Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length Journal of Applied Research on Industrial Engineering type –2 triangular fuzzy number fuzzy shortest path ranking function |
| title | Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length |
| title_full | Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length |
| title_fullStr | Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length |
| title_full_unstemmed | Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length |
| title_short | Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length |
| title_sort | shortest path problem in network with type 2 triangular fuzzy arc length |
| topic | type –2 triangular fuzzy number fuzzy shortest path ranking function |
| url | http://www.journal-aprie.com/article_48858.html |
| work_keys_str_mv | AT ranjankumar shortestpathprobleminnetworkwithtype2triangularfuzzyarclength AT sripatijha shortestpathprobleminnetworkwithtype2triangularfuzzyarclength AT ramayansingh shortestpathprobleminnetworkwithtype2triangularfuzzyarclength |