Having introduced fuzzy H-ideals in Z-algebras and explore some of their properties, we considered Z-homomorphic image and pre-image of a fuzzy H-ideal in a Z-algebra. We have also proved that the Cartesian product of fuzzy H-ideals in Z-algebras is a fuzzy H-ideal.

Z-algebra, H-ideal, Z-homomorphism, fuzzy H-ideals, Cartesian product of Z-algebras.

Received: July 26, 2022; Accepted: October 13, 2022; Published: October 15, 2022

How to cite this article: S. Sowmiya and P. Jeyalakshmi, On fuzzy H-ideals in Z-algebras, Advances in Fuzzy Sets and Systems 27(2) (2022), 243-251. http://dx.doi.org/10.17654/0973421X22011

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