TY - JOUR T1 - NEUTROSOPHICATION β-COMPACTNESS AU - Esenbel, Ferhat AU - Açıkgöz, Ahu AU - Mucuk, Osman PY - 2024 DA - November Y2 - 2024 DO - 10.47087/mjm.1515500 JF - Maltepe Journal of Mathematics PB - Hüseyin ÇAKALLI WT - DergiPark SN - 2667-7660 SP - 90 EP - 102 VL - 6 IS - 2 LA - en AB - In this study, we first define the concept of neutrosophic beta-open set. Then, using this new set definition, we present neutrosophic beta-compact and neutrosophic beta-closed spaces and examine their properties. Also, we classify these spaces using the concept of neutrosophic filterbase, which is introduced for the first time in this study. And, relationships between these different types and forms of compactness are investigated. KW - Neutrosophic Beta-open set KW - KW - Neutrosophic Beta-Compactness KW - Neutrosophic Beta-closed Space KW - Neutrosophic Filterbases CR - M.E. Abd El-Monsef, S.N. El-Deeb, and R.A. Mahmoud, β-open sets and β-continuous Mappings, Bull. Fac. Sci. Assiut Univ. 12 (1983) 77-90. CR - A. Acikgoz, H. Cakalli, F. Esenbel, and Lj.D.R. Kočinac, A quest of G-continuity in neutrosophic spaces, Math. Meth. Appl. Sci. 44 (9) (2021) 7834-7844. CR - A. Acikgoz, and F. Esenbel, Neutrosophic Connected topological spaces, Fasc. Math. 66 (2023) 5-22. CR - A. Acikgoz, F. Esenbel and O. Mucuk, Neutrosophication β-Compactness, Seventh International Conference of Mathematical Sciences (ICMS 2023) Abstract Book page 17 Maltepe University Istanbul Turkey. CR - A. Acikgoz, and F. Esenbel F. Neutrosophic seperation axioms, Maltepe J Math. 5(2), (2023) 32–40. CR - B. Ganesan, On fuzzy β-compact spaces and fuzzy β-extremally disconnected spaces, Kybernetika [cybernetics] 33(3) (1997) 271-277. CR - R. Dhavaseelan, S. Jafari, C. Ozel, and C.M. A Al-Shumrani, Generalized neutrosophic contra-continuity, In: F Smarandache, S Pramanik, eds. New Trends in Neutrosophic Theory and Applications Vol. II (2018) 365-380. CR - I.M. Hanafy, Fuzzy β-Compactness and Fuzzy β-Closed Spaces, Turk J Math. 28 (2004) 281–293. CR - A.A. Salama, and S.A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J. Math. 3 (2012) 31-35. CR - F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math. 24 (2005) 287-297. UR - https://doi.org/10.47087/mjm.1515500 L1 - https://dergipark.org.tr/en/download/article-file/4067546 ER -