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Fuzzy congruence relation on pseudo-UP algebra.
- Source :
-
Research in Mathematics . Jan2023, Vol. 10 Issue 1, p1-9. 9p. - Publication Year :
- 2023
-
Abstract
- In this paper, we investigated some related properties and applied the concept of fuzzy congruence relation to a pseudo-UP algebra X. Additionally, we used their level set to define the fuzzy congruence relation on X. The Cartesian product of two fuzzy congruences and the intersection of two fuzzy congruences are discussed. We also provided the connection between the collection of fuzzy pseudo-UP ideals and the collection of fuzzy congruence relations in pseudo-UP algebras. We then demonstrated that there exists an associated algebra X that is a pseudo-UP algebra for each fuzzy ideal ζ and fuzzy congruence ϕζ generated by ζ. Additionally, we created a congruence relation on a pseudo-UP algebra using the fuzzy pseudo-UP ideal and fuzzy congruence relation ϕζ produced by ζ. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RELATION algebras
*FUZZY sets
*CONGRUENCE lattices
*GEOMETRIC congruences
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 27684830
- Volume :
- 10
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Research in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 174583222
- Full Text :
- https://doi.org/10.1080/27684830.2023.2235843