On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
Author(s): Beza Lamesgin Derseh, Berhanu Assaye Alaba, Yohannes Gedamu WondifrawSubject(s): Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: PMS-algebra; intuitionistic fuzzy PMS-subalgebra; homomorphism; cartesian product and strongest intuitionistic fuzzy relation
Summary/Abstract: In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
Journal: Bulletin of the Section of Logic
- Issue Year: 52/2023
- Issue No: 1
- Page Range: 19-38
- Page Count: 20
- Language: English
