Please use this identifier to cite or link to this item: http://hdl.handle.net/11489/764
Title: Neutrosophic Topolojik Uzaylar
Other Titles: NEUTROSOPHIC TOPOLOGICAL SPACES
Authors: Kuru, Cemil
Ordu Üniversitesi
Keywords: Bulanık k¨ume, sezgisel bulanık k¨ume, neutrosophic k¨ume, neutrosophic topolojik uzay.
Fuzzy set, intuitionistic fuzzy set, neutrosophic set, neutrosophic topological space.
Issue Date: 2018
Publisher: Fen Bilimleri Enstitüsü
Abstract: Bu ¸calı¸sma d¨ort b¨ol¨umden olu¸smaktadır. Giri¸s b¨ol¨um¨unde bulanık k¨ume, sezgisel bulanık k¨ume ve neutrosophic k¨ume ¨uzerinde yapılan ¸calı¸smalardan bahsedilmi¸stir ve ¸calı¸smalar arasındaki farklılıklar incelenmi¸stir. ˙Ikinci b¨ol¨umde ise bulanık k¨ume, sezgisel bulanık k¨ume ve Neutrosophic k¨ume tanımları verilmi¸stir. Ayrıca neutrosophic k¨ume ¨uzerinde k¨ume i¸slemleri ve bazı uygulamalara yer verilmi¸stir. U¸c¨unc¨u b¨ol¨umde ise bu ¸calı¸smanın temel amacı olan neutrosophic topolojik uzay kavramı ¨ ve neutrosophic topolojik uzaylarda bir k¨umenin i¸ci, kapanı¸sı, dı¸sı ve sınırı tanıtılmı¸stır. D¨ord¨unc¨u b¨ol¨umde bu kavramın ortaya ¸cıkı¸s nedenleri ve konu ¨uzerine yapılabilecek ¸calı¸smalar tartı¸sılmı¸stır. Konunun ele alını¸s amacı ve geli¸sim s¨urecinden bahsedilmi¸stir.
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 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/11489/764
Appears in Collections:Fen Bilimleri Enstitüsü

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