Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

The lattice of fuzzy congruence on hyperalgebras and Congruence on fuzzy hyperalgebras

Document Type : Original Article

Authors
1 Department of Mathematics, Faculty of sciences, Golestan University, Gorgan, Iran
2 University of Tehran. Tehran. Iran
3 Department of Mathematics, Faculty of sciences.Golestan University, Gorgan, Iran
10.22034/jfsa.2025.524419.1274
Abstract
This paper analyzes compatibility and (fuzzy) congruence relations in (fuzzy) hyperalgebras and aims to provide a better understanding of these relations within fuzzy algebraic structures. Our goal is to perform a detailed analysis of compatibility and (fuzzy) congruence relations in (fuzzy) hyperalgebras under homomorphism and examine the properties of these relations in various dimensions. Additionally, (fuzzy) quotient hyperalgebras and the related isomorphism theorems are introduced and analyzed in this study. The results of this research indicate that the connection between (fuzzy) hyperalgebras and classical algebras can contribute to the development of new concepts in fuzzy hyperalgebra.
Keywords
Subjects

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Volume 8, Issue 1 - Serial Number 16
Open Access Statement
June 2025
Pages 265-289

  • Receive Date 18 May 2025
  • Revise Date 15 July 2025
  • Accept Date 15 August 2025