aspg-21-357-1791468636 20261008141036 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 4 2 Ahmed Hatip Department of Mathematics, Gaziantep University, Turkey In this study, we introduce the notion of special neutrosophic functions as new kinds of neutrosophic function defined in a neutrosophic logic. As particular cases, we present the notions of neutrosophic Floor (greatest integer), neutrosophic Absolute Function and neutrosophic Signum Function. Moreover, we draw its neutrosophic graph representation and discuss similarities and differences for these special neutrosophic functions between the classic case and neutrosophic case. We investigate some properties and prove them. However, we often need the definition of absolute value function, especially in the metric space. Therefore, we introduce its initial definition in this study. 2020 104 116 357 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.040204 https://www.americaspg.com/journal/21/article/357 https://www.americaspg.com/storage/2855.pdf