Dombi interval valued neutrosophic graph and its role in traffic control management
An advantage of dealing indeterminacy is possible only with Neutrosophic Sets. Graph theory plays a vital role in the field of networking. If uncertainty exist in the set of vertices and edge then that can be dealt by fuzzy graphs in any application and using Neutrosophic Graph uncertainty of the pr...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2019
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/5076/ http://eprints.uthm.edu.my/5076/1/AJ%202020%20%2881%29.pdf |
| _version_ | 1848888457158459392 |
|---|---|
| author | D., Nagarajan M., Lathamaheswari S., Broumi J., Kavikumar |
| author_facet | D., Nagarajan M., Lathamaheswari S., Broumi J., Kavikumar |
| author_sort | D., Nagarajan |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | An advantage of dealing indeterminacy is possible only with Neutrosophic Sets. Graph theory plays a vital role in the field of networking. If uncertainty exist in the set of vertices and edge then that can be dealt by fuzzy graphs in any application and using Neutrosophic Graph uncertainty of the problems can be completely dealt with the concept of indeterminacy. In this paper, Dombi Interval Valued Neutrosophic Graph has been proposed and Cartesian product and composition of the proposed graphs have been derived. The validity of the derived results have been proved with the numerical example. This paper expose the use of Dombi triangular norms in the area of Neutrosophic graph theory. Advantages and limitations has been discussed for Crisp, Fuzzy, Type-2 Fuzzy, Neutrosophic Set, Interval Neutrosophic Set, Neutrosophic Graph and Interval Neutrosophic Graph. |
| first_indexed | 2025-11-15T20:10:35Z |
| format | Article |
| id | uthm-5076 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:10:35Z |
| publishDate | 2019 |
| publisher | University of New Mexico |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-50762022-01-05T05:05:44Z http://eprints.uthm.edu.my/5076/ Dombi interval valued neutrosophic graph and its role in traffic control management D., Nagarajan M., Lathamaheswari S., Broumi J., Kavikumar T Technology (General) T58.5-58.64 Information technology An advantage of dealing indeterminacy is possible only with Neutrosophic Sets. Graph theory plays a vital role in the field of networking. If uncertainty exist in the set of vertices and edge then that can be dealt by fuzzy graphs in any application and using Neutrosophic Graph uncertainty of the problems can be completely dealt with the concept of indeterminacy. In this paper, Dombi Interval Valued Neutrosophic Graph has been proposed and Cartesian product and composition of the proposed graphs have been derived. The validity of the derived results have been proved with the numerical example. This paper expose the use of Dombi triangular norms in the area of Neutrosophic graph theory. Advantages and limitations has been discussed for Crisp, Fuzzy, Type-2 Fuzzy, Neutrosophic Set, Interval Neutrosophic Set, Neutrosophic Graph and Interval Neutrosophic Graph. University of New Mexico 2019 Article PeerReviewed text en http://eprints.uthm.edu.my/5076/1/AJ%202020%20%2881%29.pdf D., Nagarajan and M., Lathamaheswari and S., Broumi and J., Kavikumar (2019) Dombi interval valued neutrosophic graph and its role in traffic control management. Neutrosophic Sets and Systems, 24. pp. 114-133. ISSN 23316055 |
| spellingShingle | T Technology (General) T58.5-58.64 Information technology D., Nagarajan M., Lathamaheswari S., Broumi J., Kavikumar Dombi interval valued neutrosophic graph and its role in traffic control management |
| title | Dombi interval valued neutrosophic graph and its role in traffic control management |
| title_full | Dombi interval valued neutrosophic graph and its role in traffic control management |
| title_fullStr | Dombi interval valued neutrosophic graph and its role in traffic control management |
| title_full_unstemmed | Dombi interval valued neutrosophic graph and its role in traffic control management |
| title_short | Dombi interval valued neutrosophic graph and its role in traffic control management |
| title_sort | dombi interval valued neutrosophic graph and its role in traffic control management |
| topic | T Technology (General) T58.5-58.64 Information technology |
| url | http://eprints.uthm.edu.my/5076/ http://eprints.uthm.edu.my/5076/1/AJ%202020%20%2881%29.pdf |