Fuzzy Equivalence Relation and Fundamental Relation on Hyperalgebras

Authors

  • Mahsa Davodian
  • Mohsen Asghari-Larimi
  • Reza Ameri

Keywords:

Hyperalgebra; Fuzzy equivalence relation; Fuzzy hypercongruence relation; Fuzzy factor hypercongruence; fundamental relation.

Abstract

We introduce and study fuzzy hypercongruence relation on hyperalgebras as an extension of fuzzy congruence relation of algebras and present some important properties and isomorphism theorems. Then by applying the product concept for two fuzzy hypercongruence relations, it is determined that their product also constitutes a fuzzy hypercongruence relation. Finally, fundamental relation on the product of fuzzy subhyperalgebras are investigated.

Keywords: Hyperalgebra; Fuzzy equivalence relation; Fuzzy hypercongruence relation; Fuzzy factor hypercongruence; fundamental relation.

2010 Mathematics Subject Classification. 14L17; 08A72

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Published

2025-10-13

How to Cite

Mahsa Davodian, Mohsen Asghari-Larimi, & Reza Ameri. (2025). Fuzzy Equivalence Relation and Fundamental Relation on Hyperalgebras. Jordan Journal of Mathematics and Statistics, 18(3), 433–442. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1422

Issue

Vol. 18 No. 3 (2025)

Section

Articles

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