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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Bibliographic Details
Main Authors: Tahere Nozari, Elham Sadat Hoseini, Reza Ameri, Naimeh Onagh
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2025-06-01
Series:Journal of Hyperstructures
Subjects:
Online Access:https://jhs.uma.ac.ir/article_3842_176c9434e06fbfbe06b2df05a0c5d887.pdf
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Summary: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.
ISSN:2251-8436
2322-1666