Notion of Complex Spherical Fuzzy Graph with Application
A complex spherical fuzzy set (CSFS) is a generalization of a spherical fuzzy set (CFS). CSFS handles vagueness more explicitly, and its range is expanded from the real subset to the complex with unit disc. The major goal of this research is to present the foundation of a complex spherical fuzzy gra...
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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/10.1155/2022/1795860 |
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| _version_ | 1832563457124204544 |
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| author | Muhammad Shoaib Waqas Mahmood Weded Albalawi Faria Ahmad Shami |
| author_facet | Muhammad Shoaib Waqas Mahmood Weded Albalawi Faria Ahmad Shami |
| author_sort | Muhammad Shoaib |
| collection | DOAJ |
| description | A complex spherical fuzzy set (CSFS) is a generalization of a spherical fuzzy set (CFS). CSFS handles vagueness more explicitly, and its range is expanded from the real subset to the complex with unit disc. The major goal of this research is to present the foundation of a complex spherical fuzzy graph (CSFG) due to the limitation of the complex neutral membership function in a complex Pythagorean fuzzy graph (CPFG). Complex spherical fuzzy models have more flexibility as compared to complex fuzzy models, complex intuitionistic fuzzy models, and complex Pythagorean fuzzy models due to their coverage in three directions: complex membership functions, neutral membership functions, and complex non-membership functions. Firstly, we present the motivation for CSFG. Furthermore, we define the order, degree of a vertex, size, and total degree of a vertex of CSFG. We elaborate on primary operations, including complement, join, and the union of CSFG. This research study introduces some operations, namely, strong product, composition, Cartesian product, and semi-strong product, on CSFG. Moreover, we present the application of CSFG, which ensures the ability to deal with problems in three directions. |
| format | Article |
| id | doaj-art-d20b56c75f8a4be998dc842265f56612 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d20b56c75f8a4be998dc842265f566122025-02-03T01:20:16ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1795860Notion of Complex Spherical Fuzzy Graph with ApplicationMuhammad Shoaib0Waqas Mahmood1Weded Albalawi2Faria Ahmad Shami3Department of MathematicsDepartment of MathematicsDepartment of Mathematical SciencesDepartment of MathematicsA complex spherical fuzzy set (CSFS) is a generalization of a spherical fuzzy set (CFS). CSFS handles vagueness more explicitly, and its range is expanded from the real subset to the complex with unit disc. The major goal of this research is to present the foundation of a complex spherical fuzzy graph (CSFG) due to the limitation of the complex neutral membership function in a complex Pythagorean fuzzy graph (CPFG). Complex spherical fuzzy models have more flexibility as compared to complex fuzzy models, complex intuitionistic fuzzy models, and complex Pythagorean fuzzy models due to their coverage in three directions: complex membership functions, neutral membership functions, and complex non-membership functions. Firstly, we present the motivation for CSFG. Furthermore, we define the order, degree of a vertex, size, and total degree of a vertex of CSFG. We elaborate on primary operations, including complement, join, and the union of CSFG. This research study introduces some operations, namely, strong product, composition, Cartesian product, and semi-strong product, on CSFG. Moreover, we present the application of CSFG, which ensures the ability to deal with problems in three directions.http://dx.doi.org/10.1155/2022/1795860 |
| spellingShingle | Muhammad Shoaib Waqas Mahmood Weded Albalawi Faria Ahmad Shami Notion of Complex Spherical Fuzzy Graph with Application Journal of Function Spaces |
| title | Notion of Complex Spherical Fuzzy Graph with Application |
| title_full | Notion of Complex Spherical Fuzzy Graph with Application |
| title_fullStr | Notion of Complex Spherical Fuzzy Graph with Application |
| title_full_unstemmed | Notion of Complex Spherical Fuzzy Graph with Application |
| title_short | Notion of Complex Spherical Fuzzy Graph with Application |
| title_sort | notion of complex spherical fuzzy graph with application |
| url | http://dx.doi.org/10.1155/2022/1795860 |
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