Abstract
In this paper, the notions of SVN hyper UP-algebra and SVNS hyper UP-algebra are introduced, and some of their structural properties are investigated. Moreover, the Cartesian product of SVNS hyper UP-algebra is discussed and proved to be a SVNS hyper UP- algebra. Finally, the homomorphic image and preimage of SVNS hyper UP-algebra under SVNS functions are studied and showed also to be SVNS hyper UP-algebra.
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