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The concept of a neutrosophic cubic set in a UP-algebra was introduced by Songsaeng and Iampan [Neu-trosophic cubic set theory applied to UP-algebras, 2019]. In this paper, we define the image and inverse image of a neutrosophic cubic set in a non-empty set under any function and study the image and inverse image of a neutrosophic cubic UP-subalgebra (resp., neutrosophic cubic near UP-filter, neutrosophic cubic UP-filter, neutrosophic cubic UP-ideal, neutrosophic cubic strong UP-ideal) of a UP-algebra under some UP-homomorphisms.
UP-algebra, neutrosophic cubic set
UP-algebra, neutrosophic cubic set
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