aspg-21-588-1791472108 20261008150828 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 10 2 M. Al-Tahan Department of Mathematics, Lebanese International University, Bekaa, Lebanon B. Davvaz Department of Mathematics, Yazd University, Yazd, Iran M. Parimala Department of Mathematics, Bannari Amman Institute of Technology, India 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. 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