Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras
In real-life structures, indeterminacy is always present. Neuosophic sets theory is a well known mathematical tool for dealing with indeterminacy. Smarandache proposed the neutrosophic set approach. Neutrosophic sets deal with vague data. In this study, we introduced and investigated several types o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-05-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicRHOAlgebras18.pdf |
| _version_ | 1797825284188143616 |
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| author | Arkan Ajil Atshan Shuker Mahmood Khalil |
| author_facet | Arkan Ajil Atshan Shuker Mahmood Khalil |
| author_sort | Arkan Ajil Atshan |
| collection | DOAJ |
| description | In real-life structures, indeterminacy is always present. Neuosophic sets theory is a well known mathematical tool for dealing with indeterminacy. Smarandache proposed the neutrosophic set approach. Neutrosophic sets deal with vague data. In this study, we introduced and investigated several types of 𝜌 −algebra ideals, which we called neutrosophic 𝜌 −subalgebra, complete neutrosophic 𝜌 −subalgebra, neutrosophic 𝜌 −ideal, complete neutrosophic 𝜌 −ideal, neutrosophic 𝜌̅−ideal, and complete neutrosophic 𝜌̅−ideal, respectively. We also proposed some hypotheses to explain some of the relationships between these ideal types. |
| first_indexed | 2024-03-13T10:51:45Z |
| format | Article |
| id | doaj.art-f08db3c255e946baa6ae6b5451ba796d |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-13T10:51:45Z |
| publishDate | 2023-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-f08db3c255e946baa6ae6b5451ba796d2023-05-17T13:44:48ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-05-015530031510.5281/zenodo.7832755Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–AlgebrasArkan Ajil AtshanShuker Mahmood KhalilIn real-life structures, indeterminacy is always present. Neuosophic sets theory is a well known mathematical tool for dealing with indeterminacy. Smarandache proposed the neutrosophic set approach. Neutrosophic sets deal with vague data. In this study, we introduced and investigated several types of 𝜌 −algebra ideals, which we called neutrosophic 𝜌 −subalgebra, complete neutrosophic 𝜌 −subalgebra, neutrosophic 𝜌 −ideal, complete neutrosophic 𝜌 −ideal, neutrosophic 𝜌̅−ideal, and complete neutrosophic 𝜌̅−ideal, respectively. We also proposed some hypotheses to explain some of the relationships between these ideal types.http://fs.unm.edu/NSS/NeutrosophicRHOAlgebras18.pdfneutrosophic 𝜌−subalgebraneutrosophic 𝜌−ideal; neutrosophic 𝜌̅−ideal |
| spellingShingle | Arkan Ajil Atshan Shuker Mahmood Khalil Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras Neutrosophic Sets and Systems neutrosophic 𝜌−subalgebra neutrosophic 𝜌−ideal; neutrosophic 𝜌̅−ideal |
| title | Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras |
| title_full | Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras |
| title_fullStr | Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras |
| title_full_unstemmed | Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras |
| title_short | Neutrosophic RHO–Ideal with Complete Neutrosophic RHO–Ideal in RHO–Algebras |
| title_sort | neutrosophic rho ideal with complete neutrosophic rho ideal in rho algebras |
| topic | neutrosophic 𝜌−subalgebra neutrosophic 𝜌−ideal; neutrosophic 𝜌̅−ideal |
| url | http://fs.unm.edu/NSS/NeutrosophicRHOAlgebras18.pdf |
| work_keys_str_mv | AT arkanajilatshan neutrosophicrhoidealwithcompleteneutrosophicrhoidealinrhoalgebras AT shukermahmoodkhalil neutrosophicrhoidealwithcompleteneutrosophicrhoidealinrhoalgebras |