International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/588 2020 2020 Department of Mathematics, Lebanese International University, Bekaa, Lebanon admin admin Department of Mathematics, Yazd University, Yazd, Iran B. Davvaz Department of Mathematics, Bannari Amman Institute of Technology, India M. Parimala   The aim of this paper is to combine the notions of ordered algebraic structures and neutrosophy. In this regard, we define for the first time single valued neutrosophic sets in ordered groupoids. More precisely, we study single valued neutrosophic subgroupoids of ordered groupoids, single valued neutrosophic ideals of ordered groupoids, and single valued neutrosophic filters of ordered groupoids. Finally, we present some remarks on single valued neutrosophic subgroups (ideals) of ordered groups.   2020 2020 73 83 10.54216/IJNS.0100201 https://www.americaspg.com/articleinfo/21/show/588