Neutrosophic Süreklilik Üzerine

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.

Anahtar Kelimeler:

Neutrosophic küme, neutrosophic topolojik uzay, neutrosophic sürekli fonksiyon, neutrosophic açık fonksiyon, neutrosophic homeomorfizm

On Neutrosophic Continuity

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,

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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