Koray YILMAZ, Hatice TAŞBOZAN, Aydın GÜZELKOKAR

Yakın esnek ayırma aksiyomları ve kuratowski kapanış operatörü üzerine

Bu çalışmada ilk bölümde kullanacağımız temel kavramlar verilmiştir. Daha sonra yakın esnek topolojik uzay ve bu yapının bazı özellikleri verildi. Üçüncü bölümde yakın esnek topolojik uzayın ayırma aksiyomları ile ilgili bağlantısı incelenmiş olup yakın esnek topolojik uzayının ayırma aksiyomları verildi. Kuratowski kapanış operatörü ile yakın esnek topoloji olma aksiyomlarının sağlandığını gösterdik.

Anahtar Kelimeler:

Ayırma aksiyomları, Hausdorff uzayı, kuratowski kapanış operaötürü

On near soft seperation axioms and kuratowski closure-operator

In this study, the basic concepts that we will use in the first chapter are given. Next, the near soft topological space and some properties of this structure are given. In the third chapter, the connection of the near soft topological space with the separation axioms is examined, the separation axioms of the near soft topological space are shown and some examples are given. We have shown that with the Kuratowski closure operator the axioms of being a near soft topology are satisfied.

Keywords:

Hausdorff space Kuratowski closure operator, Seperation axioms, Reguler space.,

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Pawlak, Z., Rough sets, International Journal of Computer & Information Sciences, 11(5), 341–356, (1982).
Peters, J.F., Near sets, General theory about nearness of objects, Applied Mathematical Sciences, 1, 2609-2029, (2007).
Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(4-5), 19–31, (1999).
Tasbozan, H., Icen, I., Bagirmaz, N. ve Ozcan, A.F., Soft sets and soft topology on nearness approximation spaces, Filomat, 31, 4117-4125, (2017).
Çağman, N., Karataş, S. ve Enginoglu, S., Soft topology, Computers & Mathematics with Applications, 62, 351-358, (2011).
Molodtsov, D., Soft set theory—first results, Computers & Mathematics with Applications, 37, 19-31, (1999).
Tasbozan,H. ve Bagirmaz, N., Near soft continuous and near soft JP-continuous functions, Electronic Journal of Mathematical Analysis and Applications, 9(2), 166-171, (2021).
Ozkan, A., On near soft sets, Turkish Journal of Mathematics, 43(2), 1005 1017, (2019).
Tasbozan,H., Near Soft Bağlantılılık, Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi , 20, 815-818, (2020).
Tasbozan,H. ve Bagirmaz, N., Soft separation axioms on nearness approximation Spaces, Sohag Journal of Mathematics, 8(2), 57-60, (2021).
Özgür, N. Y., ve Nihal, T. A. Ş. A note on" application of fuzzy soft sets to investment decision making problem. Journal of New Theory, (7), 1-10, (2015).
Kalaichelvi, A., & Malini, P. H. Application of fuzzy soft sets to investment decision making problem, International Journal of Mathematical Sciences and Applications, 1(3), 1583-1586, (2011).
Karaca, F., & Taş, N. Decision Making Problem for Life and Non Life Insurances, Journal of Balıkesir University Institute of Science and Technology, 20(1), 572-588, (2022).
Irkin, R., Ozgur, N. Y., & Tas, N., Optimization of lactic acid bacteria viability using fuzzy soft set modelling, An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8(2), 266-275, (2018).