Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons
Fuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6281592 |
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| author | Zeeshan Saleem Mufti Eiman Fatima Rukhshanda Anjum Fairouz Tchier Qin Xin Md. Moyazzem Hossain |
| author_facet | Zeeshan Saleem Mufti Eiman Fatima Rukhshanda Anjum Fairouz Tchier Qin Xin Md. Moyazzem Hossain |
| author_sort | Zeeshan Saleem Mufti |
| collection | DOAJ |
| description | Fuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological index-related fuzzy graphs are much popular. Fuzzy graphs are being used as an application in different fields of sciences such as broadcast, communications, producing, social network, man-made reasoning, data hypothesis, and neural systems. In this paper, we have computed some fuzzy topological indices such as first and second Zagreb indices, Randic index, and harmonic index of fuzzy chemical graph named phenylene. |
| format | Article |
| id | doaj-art-990b0047aeaa4b30bd8a7508576a092a |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-990b0047aeaa4b30bd8a7508576a092a2025-08-20T02:10:16ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6281592Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic HydrocarbonsZeeshan Saleem Mufti0Eiman Fatima1Rukhshanda Anjum2Fairouz Tchier3Qin Xin4Md. Moyazzem Hossain5Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsFaculty of Science and TechnologyDepartment of StatisticsFuzzy graph theory was invented by Rosenfeld. It is the extension of the work of L.A. Zadeh on fuzzy sets. Rosenfeld extracted the fuzzy-related concepts using the graph theoretic concepts. Topological indices for crisp theory have already been discussed in the literature but these days, topological index-related fuzzy graphs are much popular. Fuzzy graphs are being used as an application in different fields of sciences such as broadcast, communications, producing, social network, man-made reasoning, data hypothesis, and neural systems. In this paper, we have computed some fuzzy topological indices such as first and second Zagreb indices, Randic index, and harmonic index of fuzzy chemical graph named phenylene.http://dx.doi.org/10.1155/2022/6281592 |
| spellingShingle | Zeeshan Saleem Mufti Eiman Fatima Rukhshanda Anjum Fairouz Tchier Qin Xin Md. Moyazzem Hossain Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons Journal of Function Spaces |
| title | Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons |
| title_full | Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons |
| title_fullStr | Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons |
| title_full_unstemmed | Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons |
| title_short | Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons |
| title_sort | computing first and second fuzzy zagreb indices of linear and multiacyclic hydrocarbons |
| url | http://dx.doi.org/10.1155/2022/6281592 |
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