International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2356 2020 2020 Department of Mathematics, Sri Ramakrishna Mission Vidhyalaya College of Arts and Science,Coimbatore-641002, India Panimalar. A. Department of Mathematics,Nirmala College for WomenCoimbatore-641018,Tamilnadu,, India Mohana. K. Department of Mathematics ,Vellalar College for Women(Autonomous),Erode-638012,Tamilnadu, India Parvathi. R. Department of Mathematics, Sri Ramakrishna Mission Vidhyalaya College of Arts and Science,Coimbatore-641002, India Santhosh Kumar. S. This research aims to introduce a novel notion in mathematical morphological operations on a quadri-partitioned neutrosophic set, which is a particular case of the neutrosophic refined set. In neutrosophic theory, the set is divided into three parts: the true set, the false set, and the indeterminancy set. The indeterminacy is studied in depth in quadri neutrosophic. The primary intention is to reduce uncertainty. The suggested study extracts the core concepts of morphological operations and explains their algebraic properties. Some features of morphological operators linked to quadri-partitioned neutrosophic sets are also derived. 2024 2024 77 90 10.54216/IJNS.230207 https://www.americaspg.com/articleinfo/21/show/2356