Neutrosophic Seperation Axioms

Year 2023, , 32 - 40, 30.11.2023

Ahu Açıkgöz , Ferhat Esenbel

https://doi.org/10.47087/mjm.1363767

Abstract

This study is dedicated to make an attempt to define different types of separation
axioms in neutrosophic topological spaces. The relationships among them are shown with a diagram and counterexamples. We also introduce some new terms such as introduced neutrosophic
topology, neutrosophic regular space, neutrosophic normal space, neutrosophic subspace.

Keywords

neutrosophic separation axioms, neutrosophic regular space, neutrosophic normal space, neutrosophic subspace

References

• A. Acikgoz, and F. Esenbel, An Approach to Pre-Separation Axioms in Neutrosophic Soft Topological Spaces, Commun Fac Sci Univ Ank Ser A1 Math Stat. 69 (2) (2020) 1389- 1404.
• A. Acikgoz, and F. Esenbel, Neutrosophic Soft Semi-Regularization and Neutrosophic SoftSub-Maximality, Filomat. 36 (2) (2022) 651-668.
• A. Acikgoz, and F. Esenbel, Neutrosophic Soft δ-Topology and Neutrosophic Soft δ- Compactness, Filomat. 34 (10) (2020) 3441–3458.
• 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. Doi: 10.1002/mma.7113.
• T. Bera, and N.K. Mahapatra, Assignment problem with neutrosophic costs and its solution methodology, Asia Mathematica. 3 (1) (2019) 21-32.
• T. Bera, and N.K. Mahapatra, To solve assignment problem by centroid method in neutrosophic environment. Book chapter for ’Quadruple Neutrosophic Theory and Applications-Volume I’, Neutrosophic Science International Association, Bruselss, Belgium. Chapter 7 (2020) 84-93.
• T. Bera, and N.K. Mahapatra, Optimisation by dual simplex approach in neutrosophic environment, Int J Fuzzy Comput and Modelling. 2 (4) (2019) 334-352.
• T. Bera, and N.K. Mahapatra, Generalised single valued neutrosophic number and its application to neutrosophic linear programming, Neutrosophic Sets in Decision Analysis and Operations Research IGI Global Pennsylvania. (2019) Chapter 9.
• T. Bera, and N.K. Mahapatra, Neutrosophic linear programming problem and its application to real life, Africa Matematika. 31 (3) (2020) 709-726. https://doi.org/10.1007/s13370-019-00754-4.
• T. Bera, and N.K. Mahapatra, On solving Neutrosophic linear programming problem by duality approach in neutrosophic environment, Int J Math Operation Res Inderscience Enterprises Ltd, vol. 18 (3) (2021) 310-335.
• A. Chakraborty, S. Broumi, and P.K. Singh, Some properties of pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment, Neutrosophic Sets and Systems. 28 (2019) 200-215.
• A. Chakraborty, S. Mondal, and S. Broumi, De-Neutrosophication technique of pentagonal neutrosophic number and application in minimal spanning tree, Neutrosophic Sets and Systems. 29 (2019) 1-18.
• R. Dhavaseelan, S. Jafari, C.Ozel, and M. A. Al Shumran, Generalized neutrosophic contracontinuity. New Trends in Neutrosophic Theory and Application Volume II, (2017) 1-17 .
• M. Parimala, M. Karthika, F. Smarandache, and S. Broumi, On αω-closed sets and its connectedness in terms of neutrosophic topological spaces, Int J Neu Sci. 2 (2) (2020) 82-88.
• A.A. Salma, and S.A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J Math. 3 (31) (2012).
• M. Saqlain, M.N. Jafar, S. Moin, M. Saeed, and S. Broumi, Single and Multi-valued Neutrosophic Hypersoft set and Tangent Similarity Measure of Single valued Neutrosophic Hypersoft Sets, Neutrosophic Sets and Sytems. 32 (2020) 317-329.
• F. Smarandache, Neutrosophic set, A generalisation of the intuitionistic fuzzy sets, Int J Pure Appl Math. 24 (2005) 287-297.