Geodesic
On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
Bulletin of the Section of Logic, Tome 52 (2023) no. 1, pp. 19-38.

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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.
Keywords: PMS-algebra, intuitionistic fuzzy PMS-subalgebra, homomorphism, cartesian product and strongest intuitionistic fuzzy relation 
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Derseh, Beza Lamesgin; Alaba, Berhanu Assaye; Wondifraw, Yohannes Gedamu. On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra. Bulletin of the Section of Logic, Tome 52 (2023) no. 1, pp. 19-38. http://geodesic.mathdoc.fr/item/BSL_2023_52_1_a1/

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