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Intuitionistic continuous, closed and open mappings

이정곤|김준희|허걸|임평기
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제15권 제2호|pp. 101-122|DOI 10.30948/afmi.2018.15.2.101

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참고문헌

키워드

Intuitionistic continuityIntuitionistic closed mappingIntuitionistic open mappingHeredity

초록

First of all, we define an intuitionistic quotient mapping and obtain its some properties. Second, we define some types continuities, open and closed mappings. And we investigate relationships among them and give some examples. Finally, we introduce the notions of an intuitionistic subspace and the heredity, and obtain some properties of each concept.

Abstract

First of all, we define an intuitionistic quotient mapping and obtain its some properties. Second, we define some types continuities, open and closed mappings. And we investigate relationships among them and give some examples. Finally, we introduce the notions of an intuitionistic subspace and the heredity, and obtain some properties of each concept.

참고문헌 (19)

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  10. J. H. Kim, "The category of intutionistic sets", ~
  11. J. H. Kim, "Intuitionistic topological spaces", ~
  12. J. H. Kim, "Separation axioms in intuitionistic topological spaces", ~
  13. J. G. Lee, "Intuitionistic limit points and nets", ~
  14. J. G. Lee, "Intuitionistic relations", ~
  15. 이석종, "Categorical property of intuitionistic topological spaces", 대한수학회논문집, 24(4), pp.595~603 (2009), 대한수학회
  16. Ahmet Z. Ozcelik, "On submaximality in intuitionistic topological spaces", International Scholarly and Scientific Research and Innovation, 1(1), pp.64~66 (2007)
  17. A. A. Salama, "Some Intuitionistic Topological Notions 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)
  18. S. Selvanayaki, "IGPR-continuity and compactness intuitionistic topological spaces", British Journal of Mathematics and Computer Science, 11(2), pp.1~8 (2015)
  19. S. Selvanayaki, "Homeomorphism on intuitionistic topological spaces", Ann. Fuzzy Math. Inform., 11(6), pp.957~966 (2016)

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