Rejection and symmetric difference of bipolar picture fuzzy graph
Due to the absence of a negative of three membership functions, there are drawbacks to the existing definition of a picture fuzzy graph (PFG). In that definition of bipolar picture fuzzy graph (BPFG), membership function, neutral membership function, nonmembership function, negative of membership fu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-12-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2023-0107 |
| _version_ | 1797387356269969408 |
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| author | Almousa Maha Mohammed Tchier Fairouz |
| author_facet | Almousa Maha Mohammed Tchier Fairouz |
| author_sort | Almousa Maha Mohammed |
| collection | DOAJ |
| description | Due to the absence of a negative of three membership functions, there are drawbacks to the existing definition of a picture fuzzy graph (PFG). In that definition of bipolar picture fuzzy graph (BPFG), membership function, neutral membership function, nonmembership function, negative of membership function, negative of neutral membership function, and negative of nonmembership function are involved. A BPFG is the extension of PFG. In this manuscript, we present some properties of symmetric difference, and rejection of BPFG. |
| first_indexed | 2024-03-08T22:22:59Z |
| format | Article |
| id | doaj.art-dbe2f240a58a4316b7c7e161602561d6 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-03-08T22:22:59Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-dbe2f240a58a4316b7c7e161602561d62023-12-18T12:43:01ZengDe GruyterDemonstratio Mathematica2391-46612023-12-0156133835310.1515/dema-2023-0107Rejection and symmetric difference of bipolar picture fuzzy graphAlmousa Maha Mohammed0Tchier Fairouz1Department of Mathematics, College of Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi ArabiaDue to the absence of a negative of three membership functions, there are drawbacks to the existing definition of a picture fuzzy graph (PFG). In that definition of bipolar picture fuzzy graph (BPFG), membership function, neutral membership function, nonmembership function, negative of membership function, negative of neutral membership function, and negative of nonmembership function are involved. A BPFG is the extension of PFG. In this manuscript, we present some properties of symmetric difference, and rejection of BPFG.https://doi.org/10.1515/dema-2023-0107bipolar picture fuzzy graphsymmetric differencerejectiondegree of vertextotal degree of vertex05cxx05c72 |
| spellingShingle | Almousa Maha Mohammed Tchier Fairouz Rejection and symmetric difference of bipolar picture fuzzy graph Demonstratio Mathematica bipolar picture fuzzy graph symmetric difference rejection degree of vertex total degree of vertex 05cxx 05c72 |
| title | Rejection and symmetric difference of bipolar picture fuzzy graph |
| title_full | Rejection and symmetric difference of bipolar picture fuzzy graph |
| title_fullStr | Rejection and symmetric difference of bipolar picture fuzzy graph |
| title_full_unstemmed | Rejection and symmetric difference of bipolar picture fuzzy graph |
| title_short | Rejection and symmetric difference of bipolar picture fuzzy graph |
| title_sort | rejection and symmetric difference of bipolar picture fuzzy graph |
| topic | bipolar picture fuzzy graph symmetric difference rejection degree of vertex total degree of vertex 05cxx 05c72 |
| url | https://doi.org/10.1515/dema-2023-0107 |
| work_keys_str_mv | AT almousamahamohammed rejectionandsymmetricdifferenceofbipolarpicturefuzzygraph AT tchierfairouz rejectionandsymmetricdifferenceofbipolarpicturefuzzygraph |