{"references": ["M. Abdel-Basset, A. Gamal, L. H. Son and F. Smarandache, A bipolar neutrosophic multi criteria decision Making frame work for professional selection. Appl. Sci.(2020), 10, 1202.", "M. Abdel-Basset, R. Mohamed, A. E. N. H. Zaied, A. Gamal, A and F. Smarandache, Solving the supply chain problem using the best-worst method based on a novel plithogenic model. In Optimization Theory Based on Neutrosophic and Plithogenic Sets,(2020), (pp. 1-19). Academic Press.", "I. Arokiarani, R. Dhavaseelan, S. Jafari and M. Parimala1, On some new notions and functions in neutrosophic topological spaces. Neutrosophic Sets and Systems, (2017), 16, 16-19.", "K. T. Atanassov, Intuitionstic fuzzy sets. Fuzzy sets and systems, (1986), 20, 87-96.", "T. Bera and N. K. Mahapatra, Study of the group theory in neutrosophic soft sense, Asia Mathematika, (2019), 3(2), 1-18.", "V. Christianto and F. Smarandache, Remark on vacuum fluctuation as the cause of Universe creation: Or How Neutrosophic Logic and Material Point Method may Resolve Dispute on the Origin of the Universe through re-reading Gen. 1:1-2, Asia Mathematika, (2019), 3(1), 10-20", "S. Ganesan, C. Alexander, M. Sugapriya and A. N. Aishwarya, Decomposition of n alpha-continuity & n*mu_alpha-continuity, Asia Mathematika, (2020), 4(2), 109-116.", "S Ganesan, P Hema, S. Jeyashri and C. Alexander, Contra nI_*mu-continuity Asia Mathematika, (2020), 4(2), 127-133.", "M. Karthika, M. Parimala and F. Smarandache, An introduction to neutrosophic minimal structure spaces. Neutrosophic Sets and Systems, (2020), 36, 378-388.", "V. Popa and T. Noiri, On M-continuous functions. Anal. Univ. Dunarea de Jos Galati. Ser. Mat. Fiz. Mec. Teor. Fasc, II, (2000), 18(23), 31-41.", "A. A. Salama and S. A. Alblowi, Neutrosophic Set and Neutrosophic Topological Spaces. IOSR J. Math, (2012), 3, 31-35.", "A.A. Salama, I.M.Hanafy and M. S. Dabash, Semi-Compact and Semi-Lindelof Spaces via Neutrosophic Crisp Set Theory, Asia Mathematika, (2018), 2(2), 41-48.", "F. Smarandache, Neutrosophy and Neutrosophic Logic. First International Conference on Neutrosophy, Neutrosophic Logic Set, Probability and Statistics, University of New Mexico, Gallup, NM, USA, (2002).", "F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press: Rehoboth, NM, USA, (1999).", "L. A. Zadeh, Fuzzy Sets. Information and Control, (1965), 18, 338-353."]}

This article focuses on \(N_m- \beta\)-open, \(\beta\)-interior and \(\beta\)-closure operators using neutrosophic minimal structures. We investigate the properties of such concepts and we introduced the concepts of \(N_m- \beta\)-continuous, \(N_m- \beta\)-closed graph, \(N_m- \beta\)-compact and almost \(N_m- \beta\)-compact. Finally, we introduced the concepts of \(N_m-\)regular-open sets and \(N_m-\pi\)-open sets and investigate some properties.