Abstract
References
- 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.
- A. Acikgoz and F. Esenbel, Neutrosophic Connected topological spaces, Fasciculi Math. 66 (2023) 5-22.
- A. Acikgoz and F. Esenbel, Neutrosophic seperation axioms, Maltepe J. Math. 5 (2) (2023) 32-40.
- M. Caldas, G. Navalagi and R. Saraf, On Fuzzy Weakly Open Functions, Proyec. 21 (1) (2002) 51-63.
- R. Dhavaseelan, S. Jafari, C. Ozel and M. A Al-Shumrani, Generalized neutrosophic contracontinuity, New Trend Neut. Theory Appl. II (2018) 365-380.
- S. Nanda, On fuzzy topological spaces, Fuzzy Sets Syst. 19 (1986) 193-197.
- J. H. Park, Y. B. Park and J. S. Park, Fuzzy weakly open mappings and fuzzy RS-compact sets, Far East J. Math. Sci. II (1997) 201-212.
- D. A. Rose, On weak openness and almost openness, Internt. J. Math. I. Math. Sci. 7 (1984) 35-40.
- A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J. Math. 3 (2012) 31–35.
- F. Smarandache, Neutrosophic set, A generalisation of the intuitionistic fuzzy sets, Int J Pure Appl Math. 24 (2005) 287-297.
Abstract
In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces. Then, some types of functions and continuity are introduced using these new open sets. In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.
Keywords
Neutrosophic semiopen set; Neutrosophic regular open set; Neutrosophic $\beta$-open set; Neutrosophic weakly open function; Neutrosophic almost open function; Neutrosophic weakly semiopen function; Neutrosophic $\theta$-closure; neutrosophic hyperconnected space
References
- 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.
- A. Acikgoz and F. Esenbel, Neutrosophic Connected topological spaces, Fasciculi Math. 66 (2023) 5-22.
- A. Acikgoz and F. Esenbel, Neutrosophic seperation axioms, Maltepe J. Math. 5 (2) (2023) 32-40.
- M. Caldas, G. Navalagi and R. Saraf, On Fuzzy Weakly Open Functions, Proyec. 21 (1) (2002) 51-63.
- R. Dhavaseelan, S. Jafari, C. Ozel and M. A Al-Shumrani, Generalized neutrosophic contracontinuity, New Trend Neut. Theory Appl. II (2018) 365-380.
- S. Nanda, On fuzzy topological spaces, Fuzzy Sets Syst. 19 (1986) 193-197.
- J. H. Park, Y. B. Park and J. S. Park, Fuzzy weakly open mappings and fuzzy RS-compact sets, Far East J. Math. Sci. II (1997) 201-212.
- D. A. Rose, On weak openness and almost openness, Internt. J. Math. I. Math. Sci. 7 (1984) 35-40.
- A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J. Math. 3 (2012) 31–35.
- F. Smarandache, Neutrosophic set, A generalisation of the intuitionistic fuzzy sets, Int J Pure Appl Math. 24 (2005) 287-297.
Details
| Primary Language | English |
|---|---|
| Subjects | Applied Mathematics (Other) |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | November 4, 2024 |
| Publication Date | November 8, 2024 |
| Submission Date | May 11, 2024 |
| Acceptance Date | October 3, 2024 |
| Published in Issue | Year 2024 |
Cite
The published articles in MJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
ISSN 2667-7660