Research Article
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Year 2023, , 32 - 40, 30.11.2023
https://doi.org/10.47087/mjm.1363767

Abstract

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.

Neutrosophic Seperation Axioms

Year 2023, , 32 - 40, 30.11.2023
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.

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.
There are 17 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Articles
Authors

Ahu Açıkgöz 0000-0003-1468-8240

Ferhat Esenbel

Early Pub Date November 13, 2023
Publication Date November 30, 2023
Acceptance Date November 3, 2023
Published in Issue Year 2023

Cite

APA Açıkgöz, A., & Esenbel, F. (2023). Neutrosophic Seperation Axioms. Maltepe Journal of Mathematics, 5(2), 32-40. https://doi.org/10.47087/mjm.1363767
AMA Açıkgöz A, Esenbel F. Neutrosophic Seperation Axioms. Maltepe Journal of Mathematics. November 2023;5(2):32-40. doi:10.47087/mjm.1363767
Chicago Açıkgöz, Ahu, and Ferhat Esenbel. “Neutrosophic Seperation Axioms”. Maltepe Journal of Mathematics 5, no. 2 (November 2023): 32-40. https://doi.org/10.47087/mjm.1363767.
EndNote Açıkgöz A, Esenbel F (November 1, 2023) Neutrosophic Seperation Axioms. Maltepe Journal of Mathematics 5 2 32–40.
IEEE A. Açıkgöz and F. Esenbel, “Neutrosophic Seperation Axioms”, Maltepe Journal of Mathematics, vol. 5, no. 2, pp. 32–40, 2023, doi: 10.47087/mjm.1363767.
ISNAD Açıkgöz, Ahu - Esenbel, Ferhat. “Neutrosophic Seperation Axioms”. Maltepe Journal of Mathematics 5/2 (November 2023), 32-40. https://doi.org/10.47087/mjm.1363767.
JAMA Açıkgöz A, Esenbel F. Neutrosophic Seperation Axioms. Maltepe Journal of Mathematics. 2023;5:32–40.
MLA Açıkgöz, Ahu and Ferhat Esenbel. “Neutrosophic Seperation Axioms”. Maltepe Journal of Mathematics, vol. 5, no. 2, 2023, pp. 32-40, doi:10.47087/mjm.1363767.
Vancouver Açıkgöz A, Esenbel F. Neutrosophic Seperation Axioms. Maltepe Journal of Mathematics. 2023;5(2):32-40.

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