Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras
The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strong UP-ideals were introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Neutrosophic set theory applied to UP-algebras, Eur. J. Pure Appl. Math., 12...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-12-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicImplicativeFilters39.pdf |
| _version_ | 1811344501137997824 |
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| author | Metawee Songsaeng Kar Ping Shum Ronnason Chinram Aiyared Iampan |
| author_facet | Metawee Songsaeng Kar Ping Shum Ronnason Chinram Aiyared Iampan |
| author_sort | Metawee Songsaeng |
| collection | DOAJ |
| description | The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strong UP-ideals were introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Neutrosophic set theory applied to UP-algebras, Eur. J. Pure Appl. Math., 12 (2019), 1382-1409]. In this paper, we introduce the notions of neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras by applying the notions of implicative UP-filters, comparative UP-filters, and shift UP-filters of UP-algebras to neutrosophic set and investigate some of their important properties. Relations between neutrosophic implicative UP-filters (resp., neutrosophic comparative UP-filters, neutrosophic shift UP-filters) and their level subsets are considered. |
| first_indexed | 2024-04-13T19:48:18Z |
| format | Article |
| id | doaj.art-78200d984339490bbcf7e43d2d011616 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-13T19:48:18Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-78200d984339490bbcf7e43d2d0116162022-12-22T02:32:38ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014762064310.5281/zenodo.5787618Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebrasMetawee SongsaengKar Ping ShumRonnason ChinramAiyared IampanThe notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strong UP-ideals were introduced by Songsaeng and Iampan [M. Songsaeng, A. Iampan, Neutrosophic set theory applied to UP-algebras, Eur. J. Pure Appl. Math., 12 (2019), 1382-1409]. In this paper, we introduce the notions of neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras by applying the notions of implicative UP-filters, comparative UP-filters, and shift UP-filters of UP-algebras to neutrosophic set and investigate some of their important properties. Relations between neutrosophic implicative UP-filters (resp., neutrosophic comparative UP-filters, neutrosophic shift UP-filters) and their level subsets are considered.http://fs.unm.edu/NSS/NeutrosophicImplicativeFilters39.pdfup-algebraneutrosophic implicative up-filterneutrosophic comparative up-filterneutrosophic shift up-filter |
| spellingShingle | Metawee Songsaeng Kar Ping Shum Ronnason Chinram Aiyared Iampan Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras Neutrosophic Sets and Systems up-algebra neutrosophic implicative up-filter neutrosophic comparative up-filter neutrosophic shift up-filter |
| title | Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras |
| title_full | Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras |
| title_fullStr | Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras |
| title_full_unstemmed | Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras |
| title_short | Neutrosophic implicative UP-filters, neutrosophic comparative UP-filters, and neutrosophic shift UP-filters of UP-algebras |
| title_sort | neutrosophic implicative up filters neutrosophic comparative up filters and neutrosophic shift up filters of up algebras |
| topic | up-algebra neutrosophic implicative up-filter neutrosophic comparative up-filter neutrosophic shift up-filter |
| url | http://fs.unm.edu/NSS/NeutrosophicImplicativeFilters39.pdf |
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