International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/326 2020 2020 Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand Metawee Songsaeng Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand Aiyared Iampan 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. 2020 2020 89 107 10.54216/IJNS.030201 https://www.americaspg.com/articleinfo/21/show/326