ℒ-Fuzzy Ideals of Residuated Lattices
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion of prime fuzzy ideal, fuzzy prime ideal and f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2019-12-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1313 |
| _version_ | 1827882426512179200 |
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| author | Kengne Pierre Carole Koguep Blaise Blériot Akume Daniel Lele Celestin |
| author_facet | Kengne Pierre Carole Koguep Blaise Blériot Akume Daniel Lele Celestin |
| author_sort | Kengne Pierre Carole |
| collection | DOAJ |
| description | This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion of prime fuzzy ideal, fuzzy prime ideal and fuzzy prime ideal of the second kind of a residuated lattice and establish existing relationships between these types of fuzzy ideals. Finally, we investigate the notions of fuzzy maximal ideal and maximal fuzzy ideal of a residuated lattice and present some characterizations. |
| first_indexed | 2024-03-12T18:56:36Z |
| format | Article |
| id | doaj.art-9519caabe9e64077b4aa4f3861c13372 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T18:56:36Z |
| publishDate | 2019-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-9519caabe9e64077b4aa4f3861c133722023-08-02T06:52:26ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732019-12-0139218120110.7151/dmgaa.1313dmgaa.1313ℒ-Fuzzy Ideals of Residuated LatticesKengne Pierre Carole0Koguep Blaise Blériot1Akume Daniel2Lele Celestin3Department of Mathematics and Computer Science, University of Dschang, CameroonDepartment of Mathematics and Computer Science, University of Dschang, CameroonComputer Science Department, HTTTC Kumba, University of Buea, CameroonDepartment of Mathematics and Computer Science, University of Dschang, CameroonThis paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion of prime fuzzy ideal, fuzzy prime ideal and fuzzy prime ideal of the second kind of a residuated lattice and establish existing relationships between these types of fuzzy ideals. Finally, we investigate the notions of fuzzy maximal ideal and maximal fuzzy ideal of a residuated lattice and present some characterizations.https://doi.org/10.7151/dmgaa.1313fuzzy idealfuzzy prime idealprime fuzzy idealfuzzy maximal ideal and maximal fuzzy idealno numbers |
| spellingShingle | Kengne Pierre Carole Koguep Blaise Blériot Akume Daniel Lele Celestin ℒ-Fuzzy Ideals of Residuated Lattices Discussiones Mathematicae - General Algebra and Applications fuzzy ideal fuzzy prime ideal prime fuzzy ideal fuzzy maximal ideal and maximal fuzzy ideal no numbers |
| title | ℒ-Fuzzy Ideals of Residuated Lattices |
| title_full | ℒ-Fuzzy Ideals of Residuated Lattices |
| title_fullStr | ℒ-Fuzzy Ideals of Residuated Lattices |
| title_full_unstemmed | ℒ-Fuzzy Ideals of Residuated Lattices |
| title_short | ℒ-Fuzzy Ideals of Residuated Lattices |
| title_sort | l fuzzy ideals of residuated lattices |
| topic | fuzzy ideal fuzzy prime ideal prime fuzzy ideal fuzzy maximal ideal and maximal fuzzy ideal no numbers |
| url | https://doi.org/10.7151/dmgaa.1313 |
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