Congruence relation in fuzzy partial hyperalgebras
In this paper, we begin by introducing the concept of fuzzy partial hyperalgebra and exploring the relationships between congruence relations and strong congruence relations within this framework. We then construct an embedding of any fuzzy partial hyperalgebra into a fuzzy hyperalgebra, ensuring th...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2025-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_3842_176c9434e06fbfbe06b2df05a0c5d887.pdf |
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| author | Tahere Nozari Elham Sadat Hoseini Reza Ameri Naimeh Onagh |
| author_facet | Tahere Nozari Elham Sadat Hoseini Reza Ameri Naimeh Onagh |
| author_sort | Tahere Nozari |
| collection | DOAJ |
| description | In this paper, we begin by introducing the concept of fuzzy partial hyperalgebra and exploring the relationships between congruence relations and strong congruence relations within this framework. We then construct an embedding of any fuzzy partial hyperalgebra into a fuzzy hyperalgebra, ensuring that all congruence relations on the embedded fuzzy partialhyperalgebra can be simultaneously extended to the corresponding fuzzy hyperalgebra. |
| format | Article |
| id | doaj-art-2e9687c723b04a54a85837a7ca1004fb |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-2e9687c723b04a54a85837a7ca1004fb2025-08-20T03:50:05ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662025-06-01141162410.22098/jhs.2025.16534.10703842Congruence relation in fuzzy partial hyperalgebrasTahere Nozari0Elham Sadat Hoseini1Reza Ameri2Naimeh Onagh3Department of mathematics. Faculty of sciences. Golestan university. Gorgan. IranDepartment of Mathematics, Faculty of Sciences, Golestan University, Gorgan, IranSchool of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, IranDepartment of Mathematics, Faculty of Sciences, Golestan University, Gorgan, IranIn this paper, we begin by introducing the concept of fuzzy partial hyperalgebra and exploring the relationships between congruence relations and strong congruence relations within this framework. We then construct an embedding of any fuzzy partial hyperalgebra into a fuzzy hyperalgebra, ensuring that all congruence relations on the embedded fuzzy partialhyperalgebra can be simultaneously extended to the corresponding fuzzy hyperalgebra.https://jhs.uma.ac.ir/article_3842_176c9434e06fbfbe06b2df05a0c5d887.pdfcompatible relationfuzzy hyperalgebrafuzzy partial hyperalgebra |
| spellingShingle | Tahere Nozari Elham Sadat Hoseini Reza Ameri Naimeh Onagh Congruence relation in fuzzy partial hyperalgebras Journal of Hyperstructures compatible relation fuzzy hyperalgebra fuzzy partial hyperalgebra |
| title | Congruence relation in fuzzy partial hyperalgebras |
| title_full | Congruence relation in fuzzy partial hyperalgebras |
| title_fullStr | Congruence relation in fuzzy partial hyperalgebras |
| title_full_unstemmed | Congruence relation in fuzzy partial hyperalgebras |
| title_short | Congruence relation in fuzzy partial hyperalgebras |
| title_sort | congruence relation in fuzzy partial hyperalgebras |
| topic | compatible relation fuzzy hyperalgebra fuzzy partial hyperalgebra |
| url | https://jhs.uma.ac.ir/article_3842_176c9434e06fbfbe06b2df05a0c5d887.pdf |
| work_keys_str_mv | AT taherenozari congruencerelationinfuzzypartialhyperalgebras AT elhamsadathoseini congruencerelationinfuzzypartialhyperalgebras AT rezaameri congruencerelationinfuzzypartialhyperalgebras AT naimehonagh congruencerelationinfuzzypartialhyperalgebras |