Congruence relation in fuzzy partial hyperalgebras

Document Type : Research Paper

Authors

1 Department of mathematics. Faculty of sciences. Golestan university. Gorgan. Iran

2 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran

3 School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran

Abstract

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 partial
hyperalgebra can be simultaneously extended to the corresponding fuzzy hyperalgebra.

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Main Subjects

References

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Journal of Hyperstructures
Volume 14, Issue 1
June 2025
Pages 16-24

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