Abstract
In this paper, we defined the neutrosophic continuous function, neutrosophic open function, neutrosophic
closed function and neutrosophic homeomorphism on neutrosophic topological spaces. Then, we give some
characteristics of these functions; neutrosophic closed function is a neutrosophic continuous function,
neutrosophic open function is a neutrosophic continuous function
Keywords
Neutrosophic set neutrosophic topological space neutrosophic continuous function neutrosophic open function neutrosophic homeomorphism
References
- 1. Atanassov, K., (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96
- 2. Karataş, S. and Kuru, C., (2016). Neutrosophic topology, Neutrosophic Sets and Systems, 13, 90–96
- 3. Lupiáñez, F. G., (2008). On neutrosophic topology, The International Journal of Systems and Cybernetics, 37(6), 797–800
- 4. Lupiáñez, F. G., (2009). Interval neutrosophic sets and topology, The International Journal of Systems and Cybernetics, 38(3-4), 621–624,
- 5. Lupiáñez, F. G., (2009). On various neutrosophic topologies, The International Journal of Systems and Cybernetics, 38(6), 1009–1013,
- 6. Lupiáñez, F. G., (2010). On neutrosophic paraconsistent topology, The International Journal of Systems and Cybernetics, 39(4), 598–601
- 7. Salama, A.A., Smarandache, F. and Valeri, K., (2014). Neutrosophic Closed Set and Neutrosophic Continuous Functıons, Neutrosophic Sets and Systems, 4, 4–8,
- 8. Smarandache, F., (2005). Neutrosophic set - a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), 287–297
- 9. Smarandache, F., (2002). Neutrosophy and neutrosophic logic, first international conference on neutrosophy, neutrosophic logic, set, probabilty, and statistics, University of New Mexico, Gallup, NM 87301. USA
Abstract
Bu çalışmada, neutrosophic topolojik uzaylarda neutrosophic sürekli fonksiyon, neutrosophic açık
fonksiyon, neutrosophic kapalı fonksiyon ve neutrosophic homeomorfizm tanımlandı. Daha sonra, bu
fonksiyonların bazı karakteristik özellikleri hakkında bilgi verildi.
Keywords
Neutrosophic küme neutrosophic topolojik uzay neutrosophic sürekli fonksiyon neutrosophic açık fonksiyon neutrosophic homeomorfizm
References
- 1. Atanassov, K., (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96
- 2. Karataş, S. and Kuru, C., (2016). Neutrosophic topology, Neutrosophic Sets and Systems, 13, 90–96
- 3. Lupiáñez, F. G., (2008). On neutrosophic topology, The International Journal of Systems and Cybernetics, 37(6), 797–800
- 4. Lupiáñez, F. G., (2009). Interval neutrosophic sets and topology, The International Journal of Systems and Cybernetics, 38(3-4), 621–624,
- 5. Lupiáñez, F. G., (2009). On various neutrosophic topologies, The International Journal of Systems and Cybernetics, 38(6), 1009–1013,
- 6. Lupiáñez, F. G., (2010). On neutrosophic paraconsistent topology, The International Journal of Systems and Cybernetics, 39(4), 598–601
- 7. Salama, A.A., Smarandache, F. and Valeri, K., (2014). Neutrosophic Closed Set and Neutrosophic Continuous Functıons, Neutrosophic Sets and Systems, 4, 4–8,
- 8. Smarandache, F., (2005). Neutrosophic set - a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), 287–297
- 9. Smarandache, F., (2002). Neutrosophy and neutrosophic logic, first international conference on neutrosophy, neutrosophic logic, set, probabilty, and statistics, University of New Mexico, Gallup, NM 87301. USA
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Review Articles |
| Authors | |
| Publication Date | December 15, 2017 |
| Submission Date | June 6, 2017 |
| Published in Issue | Year 2017 Volume: 7 Issue: 2 |
