Please use this identifier to cite or link to this item: http://hdl.handle.net/11489/762
Title: Neutrosoph’ic Topolaj˙ik Uzaylarda Kompaktlık
Other Titles: NEUTROSOPHIC TOPOLOGICAL SPACES COMPACTNESS
Authors: Kılıç, Burak
Ordu Üniversitesi
Keywords: Bulanık kume, sezgisel bulanık k ¨ ume, neutrosophic k ¨ ume, topo- ¨ lojik uzay, neutrosophic topolojik uzay, neutrosophic fonksiyon, neutrosophic biles¸ke fonksiyon, neutrosophic kompaktlık, neutrosophic ac¸ık fonksiyon, neutrosophic kapalı fonksiyon, neutrosophic homeomorfizm, neutrosophic sayılabilir kompaktlık
Fuzzy set, intuitionistic fuzzy set, neutrosophic set, neutrosophic topological space, neutrosophic function, neutrosophic resultant function, neutrosophic continuity, neutrosophic open function, neutrosophic closed function, neutrosophic homeomerphism, neutrosophic compacness
Issue Date: 2018
Publisher: Fen Bilimleri Enstitüsü
Abstract: Bu c¸alıs¸ma dort b ¨ ol¨ umden olus¸maktadır. Giris¸ b ¨ ol¨ um¨ unde bulanık k ¨ ume, sezgisel bulanık ¨ kume ve neutrosophic k ¨ ume ¨ uzerinde yapılan c¸alıs¸malardan bahsedilmis¸tir ve c¸alıs¸malar ¨ arasındaki farklılıklar incelenmis¸tir. ˙Ikinci bol¨ umde ise bulanık k ¨ ume, sezgisel bulanık ¨ kume ve Neutrosophic k ¨ ume tanımları verilmis¸tir. Ayrıca neutrosophic k ¨ ume ¨ uzerinde ¨ kume is¸lemleri ve bazı uygulamalara yer verilmis¸tir. ¨ Uc¸ ¨ unc ¨ u b ¨ ol¨ umde ise bu c¸alıs¸manın temel amacı olan neutrosophic topolojik uzaylarda ¨ kompaktlık kavramı tanıtılmıs¸tır. Dord ¨ unc ¨ u b ¨ ol¨ umde bu kavramın ortaya c¸ıkıs¸ neden- ¨ leri ve konu uzerine yapılabilecek c¸alıs¸malar tartıs¸ılmıs¸tır. Konunun ele alınıs¸ amacı ve ¨ gelis¸im surecinden bahsedilmis¸tir.
This thesis consists of four parts. In the introduction of this thesis has been mentioned from made studies over fuzzy sets, intuitionistic fuzzy sets and neutrosophic compactness sets and examined from the differences between studies. In the second section, it have given defintions of fuzzy sets, intuitionistic fuzzy sets and neutrosophic sets. Also, in this section, we give some set operations on sets and applications. In the third section, which is main purpose of this study, we introduce concept of neutrosophic topological space and a set of interior, closure, exterior and frontier in neutrosophic topological spaces. In the fourth section, reasons for the emergence of these concepts and the studies planned to be done on these concepts have been discussed. It have been mentioned from the primary reason for this issue research and development process.
URI: http://hdl.handle.net/11489/762
Appears in Collections:Fen Bilimleri Enstitüsü

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