A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application
The CSFS is an extension of CPFS and CPicFS. The design addresses vagueness more explicitly. It extends the real subset’s range to complex with the use of unit disc. Due to its coverage in three directions: complex membership functions, complex abstinence membership function, and complex non-members...
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500126 |
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| author | S. N. Suber Bathusha S. Angelin Kavitha Raj Mufti Mahamud Sowndharya Jayakumar |
| author_facet | S. N. Suber Bathusha S. Angelin Kavitha Raj Mufti Mahamud Sowndharya Jayakumar |
| author_sort | S. N. Suber Bathusha |
| collection | DOAJ |
| description | The CSFS is an extension of CPFS and CPicFS. The design addresses vagueness more explicitly. It extends the real subset’s range to complex with the use of unit disc. Due to its coverage in three directions: complex membership functions, complex abstinence membership function, and complex non-membership functions, CSFS has more flexibility than CFSs, CIFSs, CPFSs, and CPicFS. It can be applied in various ways through fuzzy control. The primary objective of this study is to present CSFGS, which exhibits exceptional performance in tackling challenging problem, particularly ones that involve multiple relationships. GSs and CSFSs are combined in this concept. As a result, many problems are combined with different relations. The AM of CSFGS and degree of vertex presence have been found. The lower and upper constraints on the energy of CSFGS are derived by calculating the energy of CSFGS. Furthermore, we have provided some details regarding the LE of the [Formula: see text]-dominant CSFGS. We also propose the notion of isomorphic and identical [Formula: see text]-dominating CSFGS. Finally, we have discussed a real-world example based on temperature variation and climatic data analysis in an environment with a LE of the [Formula: see text]-dominant CSFGS, to demonstrate the applicability of the generated results. Also, an algorithm has been developed to clarify the fundamental workings of our application. |
| format | Article |
| id | doaj-art-f4edb4d412d2426cbebcf87359171930 |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-f4edb4d412d2426cbebcf873591719302025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S2661335224500126A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with applicationS. N. Suber Bathusha0S. Angelin Kavitha Raj1Mufti Mahamud2Sowndharya Jayakumar3Department of Mathematics, Sadakathullah Appa College (Autonomous), Affiliated to Manonmaniam Sundaranar University, Tirunelveli, Tamil Nadu, IndiaDepartment of Mathematics, Sadakathullah Appa College (Autonomous), Affiliated to Manonmaniam Sundaranar University, Tirunelveli, Tamil Nadu, IndiaDepartment of Computer Science, Nottingham Trent University, NG11 8NS, UKDepartment of Bachelor of Computer Applications, Cauvery College for Women, Trichy, Tamil Nadu, IndiaThe CSFS is an extension of CPFS and CPicFS. The design addresses vagueness more explicitly. It extends the real subset’s range to complex with the use of unit disc. Due to its coverage in three directions: complex membership functions, complex abstinence membership function, and complex non-membership functions, CSFS has more flexibility than CFSs, CIFSs, CPFSs, and CPicFS. It can be applied in various ways through fuzzy control. The primary objective of this study is to present CSFGS, which exhibits exceptional performance in tackling challenging problem, particularly ones that involve multiple relationships. GSs and CSFSs are combined in this concept. As a result, many problems are combined with different relations. The AM of CSFGS and degree of vertex presence have been found. The lower and upper constraints on the energy of CSFGS are derived by calculating the energy of CSFGS. Furthermore, we have provided some details regarding the LE of the [Formula: see text]-dominant CSFGS. We also propose the notion of isomorphic and identical [Formula: see text]-dominating CSFGS. Finally, we have discussed a real-world example based on temperature variation and climatic data analysis in an environment with a LE of the [Formula: see text]-dominant CSFGS, to demonstrate the applicability of the generated results. Also, an algorithm has been developed to clarify the fundamental workings of our application.https://www.worldscientific.com/doi/10.1142/S2661335224500126CSFGSenergyLaplacian energy -dominatingisomorphic and identicalapplication |
| spellingShingle | S. N. Suber Bathusha S. Angelin Kavitha Raj Mufti Mahamud Sowndharya Jayakumar A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application International Journal of Mathematics for Industry CSFGS energy Laplacian energy -dominating isomorphic and identical application |
| title | A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application |
| title_full | A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application |
| title_fullStr | A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application |
| title_full_unstemmed | A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application |
| title_short | A novel approach on laplacian energy of -dominating complex spherical fuzzy graph structures and with application |
| title_sort | novel approach on laplacian energy of dominating complex spherical fuzzy graph structures and with application |
| topic | CSFGS energy Laplacian energy -dominating isomorphic and identical application |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500126 |
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