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Intuitionistic topological spaces

이정곤|허걸|김준희|임평기
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제15권 제1호|pp. 29-46|DOI 10.30948/afmi.2018.15.1.29

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참고문헌

키워드

Intutionistic setIntutionistic topological spaceIntutionistic baseIntutionistic neighborhoodIntutionistic closureIntutionistic interior

초록

First of all, we list some concepts and results introduced by [10, 15]. Second, we give some examples related to intuitionistic topologies and intuitionistic bases, and obtain two properties of an intuitionistic base and an intuitionistic subbase. And we define intuitionistic intervals in $\mathbb{R}$. Finally, we define some types of intuitionistic closures and interiors, and obtain their some properties.

Abstract

First of all, we list some concepts and results introduced by [10, 15]. Second, we give some examples related to intuitionistic topologies and intuitionistic bases, and obtain two properties of an intuitionistic base and an intuitionistic subbase. And we define intuitionistic intervals in $\mathbb{R}$. Finally, we define some types of intuitionistic closures and interiors, and obtain their some properties.

참고문헌 (21)

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  3. K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)[DOI]
  4. K. Atanassov, "Review and new results on intuitionistic fuzzy sets, Preprint IM-MFaIS-1-88, Soa 1-8", ~
  5. K. Atanassov, "Intuitionistic Fuzzy Sets" (2012), Springer
  6. K. Atanassov, "On Intuitionistic Fuzzy Sets Theory" (1999), Springer
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  10. D. Coker, "A note on intuitionistic sets and intuitionistic points", Tr. J. of Mathematics, 20, pp.343~351 (1996)
  11. D. Coker, "An introduction to intuitionistic topological spaces", BUSEFAL, 81, pp.51~56 (2000)
  12. E. Coskun, "On neighborhood structures in intuitionistic topological spaces", Math. Balkanica (N. S.), 12(3-4), pp.283~909 (1998)
  13. Taha H. Jassim, "Completely normal and weak completely normal in intuitionistic topological spaces", International Journal of Scientic and Engineering Research, 4(10), pp.438~442 (2013)
  14. J. C. Kelly, "Bitopological spaces", Proc. London Math. Soc., 13, pp.71~89 (1963)
  15. J. H. Kim, "The category of intutionistic sets", ~
  16. 이석종, "Categorical property of intuitionistic topological spaces", 대한수학회논문집, 24(4), pp.595~603 (2009), 대한수학회
  17. Ahmet Z. Ozcelik, "On submaximality in intuitionistic topological spaces", International Scholarly and Scientic Research and Innovation, 1(1), pp.64~66 (2007)
  18. A. A. Salama, "Some Intuitionistic Topological No- tions of Intuitionistic Region, Possible Application to GIS Topological Rules", International Journal of Enhanced Research in Management and Computer Applications, 3(5), pp.4~9 (2014)
  19. S. Selvanayaki, "IGPR-continuity and compactness intuitionistic topo- logical spaces", British Journal of Mathematics and Computer Science, 11(2), pp.1~8 (2015)
  20. S. Selvanayaki, "Homeomorphism on intuitionistic topological spaces", Ann. Fuzzy Math. Inform., 11(6), pp.957~966 (2016)
  21. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)[DOI]

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