Prefilters on Neutrosophic Sets
This paper introduces the concept of a prefilter on the collection of neutrosophic sets. The characteristic set and characteristic value of prefilters are introduced and their fundamental properties are explored. The relationships between filters and prefilters are examined, with particular emphasis...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/29Keerthana-Visalakshi.pdf |
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| _version_ | 1849228898915581952 |
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| author | D. Keerthana V. Visalakshi C. Rajapandiyan Saeid Jafari |
| author_facet | D. Keerthana V. Visalakshi C. Rajapandiyan Saeid Jafari |
| author_sort | D. Keerthana |
| collection | DOAJ |
| description | This paper introduces the concept of a prefilter on the collection of neutrosophic sets. The characteristic set and characteristic value of prefilters are introduced and their fundamental properties are explored. The relationships between filters and prefilters are examined, with particular emphasis on how ultrafilters correspond to maximal filters via specific mappings such as iK and wK Additionally, the concept of prime prefilters are defined and their basic properties are studied. The compatibility between filters and prefilters is also discussed. |
| format | Article |
| id | doaj-art-c5d1b8cbc8a04ed1ab28e7cc5c78f12c |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-c5d1b8cbc8a04ed1ab28e7cc5c78f12c2025-08-22T12:40:38ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017334134910.5281/zenodo.13989248Prefilters on Neutrosophic SetsD. KeerthanaV. VisalakshiC. RajapandiyanSaeid JafariThis paper introduces the concept of a prefilter on the collection of neutrosophic sets. The characteristic set and characteristic value of prefilters are introduced and their fundamental properties are explored. The relationships between filters and prefilters are examined, with particular emphasis on how ultrafilters correspond to maximal filters via specific mappings such as iK and wK Additionally, the concept of prime prefilters are defined and their basic properties are studied. The compatibility between filters and prefilters is also discussed.https://fs.unm.edu/NSS/29Keerthana-Visalakshi.pdfneutrosophic setprefiltercharacteristic setcharacteristic valueprime prefilter |
| spellingShingle | D. Keerthana V. Visalakshi C. Rajapandiyan Saeid Jafari Prefilters on Neutrosophic Sets Neutrosophic Sets and Systems neutrosophic set prefilter characteristic set characteristic value prime prefilter |
| title | Prefilters on Neutrosophic Sets |
| title_full | Prefilters on Neutrosophic Sets |
| title_fullStr | Prefilters on Neutrosophic Sets |
| title_full_unstemmed | Prefilters on Neutrosophic Sets |
| title_short | Prefilters on Neutrosophic Sets |
| title_sort | prefilters on neutrosophic sets |
| topic | neutrosophic set prefilter characteristic set characteristic value prime prefilter |
| url | https://fs.unm.edu/NSS/29Keerthana-Visalakshi.pdf |
| work_keys_str_mv | AT dkeerthana prefiltersonneutrosophicsets AT vvisalakshi prefiltersonneutrosophicsets AT crajapandiyan prefiltersonneutrosophicsets AT saeidjafari prefiltersonneutrosophicsets |