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Soft single point space and soft metrizable
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논문 기본 정보

Type
Academic journal
Author
Orhan Gocur (Bilecik S eyh Edebali University)
Journal
원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제13권 제4호 KCI Accredited Journals
Published
2017.4
Pages
499 - 507 (9page)
DOI
10.30948/afmi.2017.13.4.499

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Soft single point space and soft metrizable
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Abstract· Keywords

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Firstly, we introduced soft metric space which is defined over an initial universe with fixed set of parameter. And we gave some basic properties about it. Then we introduced soft metrizable. Hereafter we sayed that soft discrete space is soft non-metrizable while soft single point space is soft metrizable. Finally, we indicated some properties of soft metrizable. For example we showed that every soft metrizable space is soft n-$T_{4}$.
#Soft set #Soft topology #Soft separation axioms #Soft n-T$_{4}$ space #Soft discrete space #Soft single point space #Soft metric #Soft metrizable

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References (16)

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K. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20:87~96 google schola I. Deli / 2015 / npn-soft sets theory and their applications / Ann. Fuzzy Math. Inform 10(6):847~862 google schola F. Feng / 2008 / Soft semirings / Comput. Math. Appl 56:2621~2628 google schola W. L. Gau / 1993 / Vague sets / IEEE Trans. System Man Cybernet 23(2):610~614 google schola O. Gocur / 2015 / Some new properties on soft separation axioms / Ann. Fuzzy Math. Inform 9(3):421~429 google schola

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