Fuzzy Initial and Final Segments in ADL’s
In this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set of fuzzy final segments of an ADL A forms a c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2832 |
| _version_ | 1797404896600784896 |
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| author | G. Srikanya G. Prakasam Babu K. Ramanuja Rao Ch. Santhi Sundar Raj |
| author_facet | G. Srikanya G. Prakasam Babu K. Ramanuja Rao Ch. Santhi Sundar Raj |
| author_sort | G. Srikanya |
| collection | DOAJ |
| description | In this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set of fuzzy final segments of an ADL A forms a complete lattice if and only if A is a bounded distributive lattice. |
| first_indexed | 2024-03-09T03:01:43Z |
| format | Article |
| id | doaj.art-2b59faaa0e034ecd973138871d772aae |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-09T03:01:43Z |
| publishDate | 2023-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-2b59faaa0e034ecd973138871d772aae2023-12-04T12:13:05ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-07-0121676710.28924/2291-8639-21-2023-672217Fuzzy Initial and Final Segments in ADL’sG. SrikanyaG. Prakasam BabuK. Ramanuja RaoCh. Santhi Sundar RajIn this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set of fuzzy final segments of an ADL A forms a complete lattice if and only if A is a bounded distributive lattice.http://etamaths.com/index.php/ijaa/article/view/2832 |
| spellingShingle | G. Srikanya G. Prakasam Babu K. Ramanuja Rao Ch. Santhi Sundar Raj Fuzzy Initial and Final Segments in ADL’s International Journal of Analysis and Applications |
| title | Fuzzy Initial and Final Segments in ADL’s |
| title_full | Fuzzy Initial and Final Segments in ADL’s |
| title_fullStr | Fuzzy Initial and Final Segments in ADL’s |
| title_full_unstemmed | Fuzzy Initial and Final Segments in ADL’s |
| title_short | Fuzzy Initial and Final Segments in ADL’s |
| title_sort | fuzzy initial and final segments in adl s |
| url | http://etamaths.com/index.php/ijaa/article/view/2832 |
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