Year 2023,
Volume: 5 Issue: 2, 32 - 40, 30.11.2023
Ahu Açıkgöz
,
Ferhat Esenbel
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,
Volume: 5 Issue: 2, 32 - 40, 30.11.2023
Ahu Açıkgöz
,
Ferhat Esenbel
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.