Pythagorean fuzzy sublattices and ideals
This research delves into the exploration of Pythagorean fuzzy sublattices and Pythagorean fuzzy ideals within the context of lattice theory. Through a rigorous analysis of structural theorems concerning these concepts derived from Pythagorean fuzzy sets, we uncover significant parallels with classi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education,
2024-07-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_201544_4e74da914b29f2a2f3e629f2752bfa11.pdf |
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| _version_ | 1832577845971386368 |
|---|---|
| author | Idris Bakhadach Meryem Fakhraoui Sofyane Achik Said Melliani |
| author_facet | Idris Bakhadach Meryem Fakhraoui Sofyane Achik Said Melliani |
| author_sort | Idris Bakhadach |
| collection | DOAJ |
| description | This research delves into the exploration of Pythagorean fuzzy sublattices and Pythagorean fuzzy ideals within the context of lattice theory. Through a rigorous analysis of structural theorems concerning these concepts derived from Pythagorean fuzzy sets, we uncover significant parallels with classical theory. Additionally, we investigate the behavior of Pythagorean fuzzy ideals under lattice homomorphisms. Our findings shed light on the applicability and utility of Pythagorean fuzzy theory in lattice-based structures, offering insights into their properties and relationships. |
| format | Article |
| id | doaj-art-e26a390edd7b470ba579a04815957f63 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-e26a390edd7b470ba579a04815957f632025-01-30T15:07:12ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-07-015336537310.22105/jfea.2024.446476.1398201544Pythagorean fuzzy sublattices and idealsIdris Bakhadach0Meryem Fakhraoui1Sofyane Achik2Said Melliani3LMACS, National School of Applied Sciences, Beni Mellal Sultan Moulay Slimane University, Morocco.LMACS, National School of Applied Sciences, Beni Mellal Sultan Moulay Slimane University, Morocco.LMACS, National School of Applied Sciences, Beni Mellal Sultan Moulay Slimane University, Morocco.LMACS, National School of Applied Sciences, Beni Mellal Sultan Moulay Slimane University, Morocco.This research delves into the exploration of Pythagorean fuzzy sublattices and Pythagorean fuzzy ideals within the context of lattice theory. Through a rigorous analysis of structural theorems concerning these concepts derived from Pythagorean fuzzy sets, we uncover significant parallels with classical theory. Additionally, we investigate the behavior of Pythagorean fuzzy ideals under lattice homomorphisms. Our findings shed light on the applicability and utility of Pythagorean fuzzy theory in lattice-based structures, offering insights into their properties and relationships.https://www.journal-fea.com/article_201544_4e74da914b29f2a2f3e629f2752bfa11.pdffuzzy latticepythagorean fuzzy setpythagorean fuzzy sublatticepythagorean fuzzy prime idealpythagorean fuzzy homomorphism |
| spellingShingle | Idris Bakhadach Meryem Fakhraoui Sofyane Achik Said Melliani Pythagorean fuzzy sublattices and ideals Journal of Fuzzy Extension and Applications fuzzy lattice pythagorean fuzzy set pythagorean fuzzy sublattice pythagorean fuzzy prime ideal pythagorean fuzzy homomorphism |
| title | Pythagorean fuzzy sublattices and ideals |
| title_full | Pythagorean fuzzy sublattices and ideals |
| title_fullStr | Pythagorean fuzzy sublattices and ideals |
| title_full_unstemmed | Pythagorean fuzzy sublattices and ideals |
| title_short | Pythagorean fuzzy sublattices and ideals |
| title_sort | pythagorean fuzzy sublattices and ideals |
| topic | fuzzy lattice pythagorean fuzzy set pythagorean fuzzy sublattice pythagorean fuzzy prime ideal pythagorean fuzzy homomorphism |
| url | https://www.journal-fea.com/article_201544_4e74da914b29f2a2f3e629f2752bfa11.pdf |
| work_keys_str_mv | AT idrisbakhadach pythagoreanfuzzysublatticesandideals AT meryemfakhraoui pythagoreanfuzzysublatticesandideals AT sofyaneachik pythagoreanfuzzysublatticesandideals AT saidmelliani pythagoreanfuzzysublatticesandideals |