Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers
In problems of graphs involving uncertainties, the fuzzy shortest path problem is one of the most studied topics, since it has a wide range of applications in different areas and therefore deserves special attention. In this paper, algorithms are proposed for the fuzzy shortest path problem, where t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/646248 |
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| author | S. Elizabeth L. Sujatha |
| author_facet | S. Elizabeth L. Sujatha |
| author_sort | S. Elizabeth |
| collection | DOAJ |
| description | In problems of graphs involving uncertainties, the fuzzy shortest path problem is one of the most studied topics, since it has a wide range of applications in different areas and therefore deserves special attention. In this paper, algorithms are proposed for the fuzzy shortest path
problem, where the arc length of the network takes imprecise numbers, instead of real numbers, namely, level 𝜆-triangular LR fuzzy numbers. Few indices defined in this paper help to identify the shortest path in fuzzy environment. |
| format | Article |
| id | doaj-art-2c44cb69b23a499f8caf91b8d3ee1636 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-2c44cb69b23a499f8caf91b8d3ee16362025-02-03T01:31:58ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/646248646248Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy NumbersS. Elizabeth0L. Sujatha1Department of Mathematics, Auxilium College (Autonomous), Tamil Nadu, Vellore 632006, IndiaDepartment of Mathematics, Auxilium College (Autonomous), Tamil Nadu, Vellore 632006, IndiaIn problems of graphs involving uncertainties, the fuzzy shortest path problem is one of the most studied topics, since it has a wide range of applications in different areas and therefore deserves special attention. In this paper, algorithms are proposed for the fuzzy shortest path problem, where the arc length of the network takes imprecise numbers, instead of real numbers, namely, level 𝜆-triangular LR fuzzy numbers. Few indices defined in this paper help to identify the shortest path in fuzzy environment.http://dx.doi.org/10.1155/2012/646248 |
| spellingShingle | S. Elizabeth L. Sujatha Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers Advances in Fuzzy Systems |
| title | Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers |
| title_full | Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers |
| title_fullStr | Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers |
| title_full_unstemmed | Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers |
| title_short | Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers |
| title_sort | fuzzy shortest path problem based on level 𝜆 triangular lr fuzzy numbers |
| url | http://dx.doi.org/10.1155/2012/646248 |
| work_keys_str_mv | AT selizabeth fuzzyshortestpathproblembasedonlevelλtriangularlrfuzzynumbers AT lsujatha fuzzyshortestpathproblembasedonlevelλtriangularlrfuzzynumbers |