Lattice Valued Fuzzy Sets in UP (BCC)-Algebras
The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, w...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-06-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2655 |
| _version_ | 1797795985241407488 |
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| author | Aiyared Iampan Akarachai Satirad Ronnason Chinram Rukchart Prasertpong Pongpun Julatha |
| author_facet | Aiyared Iampan Akarachai Satirad Ronnason Chinram Rukchart Prasertpong Pongpun Julatha |
| author_sort | Aiyared Iampan |
| collection | DOAJ |
| description | The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras. |
| first_indexed | 2024-03-13T03:26:18Z |
| format | Article |
| id | doaj.art-721a54ffcdba47c39e8120c9a9da4341 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-13T03:26:18Z |
| publishDate | 2023-06-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-721a54ffcdba47c39e8120c9a9da43412023-06-25T06:29:46ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-06-0121595910.28924/2291-8639-21-2023-592040Lattice Valued Fuzzy Sets in UP (BCC)-AlgebrasAiyared Iampan0Akarachai SatiradRonnason ChinramRukchart PrasertpongPongpun JulathaUniversity of PhayaoThe aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.http://etamaths.com/index.php/ijaa/article/view/2655 |
| spellingShingle | Aiyared Iampan Akarachai Satirad Ronnason Chinram Rukchart Prasertpong Pongpun Julatha Lattice Valued Fuzzy Sets in UP (BCC)-Algebras International Journal of Analysis and Applications |
| title | Lattice Valued Fuzzy Sets in UP (BCC)-Algebras |
| title_full | Lattice Valued Fuzzy Sets in UP (BCC)-Algebras |
| title_fullStr | Lattice Valued Fuzzy Sets in UP (BCC)-Algebras |
| title_full_unstemmed | Lattice Valued Fuzzy Sets in UP (BCC)-Algebras |
| title_short | Lattice Valued Fuzzy Sets in UP (BCC)-Algebras |
| title_sort | lattice valued fuzzy sets in up bcc algebras |
| url | http://etamaths.com/index.php/ijaa/article/view/2655 |
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