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Continuities and neighborhood structures in intuitionistic fuzzy smooth topological spaces

김준희|허걸|임평기|김소라
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제1호|pp. 33-54|DOI 10.30948/afmi.2018.16.1.33

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참고문헌

키워드

Intuitionistic fuzzy smooth topological spaceIntuitionistic fuzzy smooth continuous mappingIntuitionistic fuzzy smooth preserving mappingIntuitionistic fuzzy smooth subspaceIntuitionistic fuzzy smooth neighborhood system

초록

First, we introduce the concepts of an intuitionistic fuzzy smooth [resp. weak, strong] continuity and an intuitionistic fuzzy smooth homeomorphism, and we obtained some their properties. Next, we define an intuitionistic fuzzy smooth subspace and study its some properties. Finally, we define an intuitionistic fuzzy smooth neighborhood system and an intuitionistic fuzzy smooth $Q$- neighborhood system and we obtain the the characterization (See Theorem 5.5).

Abstract

First, we introduce the concepts of an intuitionistic fuzzy smooth [resp. weak, strong] continuity and an intuitionistic fuzzy smooth homeomorphism, and we obtained some their properties. Next, we define an intuitionistic fuzzy smooth subspace and study its some properties. Finally, we define an intuitionistic fuzzy smooth neighborhood system and an intuitionistic fuzzy smooth $Q$- neighborhood system and we obtain the the characterization (See Theorem 5.5).

참고문헌 (38)

  1. S. E. Abbas, "On intuitionistic fuzzy compactness", Inform.Sci., 173, pp.75~91 (2005)[DOI]
  2. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)[DOI]
  3. K. T. Atanassov, "New operators dened over the intuitionistic fuzzy sets", Fuzzy Sets and Systems, 61, pp.131~142 (1993)
  4. K. T. Atanassov, "Interval-valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 31, pp.343~349 (1989)[DOI]
  5. K. T. Atanassov, "Intuitionistic fuzzy sets", Proc. of Polish Symp. on Interval and Fuzzy Mathematics, pp.23~26 (1983)
  6. P. Burillo, "Two operators on interval-valued intuitionistic fuzzy sets : Part II", C. R. Acad.Bulg.Sci., 48(1), pp.17~20 (1995)
  7. H. Bustince, "Correlation of interval-valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 74, pp.237~244 (1995)[DOI]
  8. C. L. Chang, "Fuzzy topological spaces", J.Math.Anal.Appl., 24, pp.182~190 (1968)[DOI]
  9. K. C. Chattopadhyay, "Fuzzy topology : fuzzy closure operator, fuzzy compactness and fuzzy connectedness", Fuzzy Sets and Systems, 54, pp.207~212 (1993)[DOI]
  10. K. C. Chattopadhyay, "Gradation of openness : fuzzy topology", Fuzzy Sets and Systems, 49, pp.237~242 (1992)[DOI]
  11. 정민석, "Intuitionistic Interval-Valued Fuzzy Sets", 한국지능시스템학회 논문지, 20(6), pp.864~876 (2010), 한국지능시스템학회
  12. D. Coker, "An introduction to intuitionistic fuzzy topological spaces", Fuzzy Sets and Systems, 88, pp.81~89 (1997)[DOI]
  13. D. Coker, "An introduction to intuitionistic fuzzy topological spaces in Sostak's sense", Busefal, 67, pp.67~76 (1996)
  14. M. Demirci, "Neighborhood structures of smooth topological spaces", Fuzzy Sets and Systems, 92, pp.123~128 (1997)[DOI]
  15. M. K. El Gayyar, "Almost compactness and near compactness in smooth topological spaces", Fuzzy Sets and Systems, 62, pp.193~202 (1994)[DOI]
  16. M. K. El Gayyar, "On smooth topological space II : separation axioms", Fuzzy Sets and Systems, 119, pp.495~504 (2001)[DOI]
  17. M. H. Ghanim, "Separation axioms, subspaces and sums in fuzzy topology", J.Math.Anal.Appl., 102, pp.189~202 (1984)[DOI]
  18. A. Kandil, "On separation axioms in fuzzy topological space", Tamkang J. Math., 18, pp.49~59 (1987)
  19. A. Kandil, "Regularity axioms in fuzzy topological space and FRi-proximities", Fuzzy Sets and Systems, 27, pp.217~231 (1988)[DOI]
  20. E. E. Kerre, "Characterizations of normality in fuzzy topological space", Simon Steven, 53, pp.239~248 (1979)
  21. T. Kubiak, "On fuzzy topologies", pp.1985
  22. 임평기, "Intuitionistic smooth Topological Spaces", 한국지능시스템학회 논문지, 20(6), pp.875~883 (2010), 한국지능시스템학회
  23. R. Lowen, "Fuzzy topological spaces and fuzzy compactness", J.Math.Anal.Appl., 56, pp.621~633 (1976)[DOI]
  24. R. Lowen, "A comparison of dierent compactness notions in fuzzy topological spaces", J.Math.Anal., 64, pp.446~454 (1978)[DOI]
  25. R. Lowen, "Initial and nal fuzzy topologies and the fuzzy Tychono Theorem", J.Math.Anal., 58, pp.11~21 (1977)[DOI]
  26. W. Peeters, "Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures", Fuzzy Sets and Systems, 104, pp.423~433 (1999)[DOI]
  27. W. Peeters, "The complete lattice (S(X), <TEX>${\leq}$<", TEX>) of smooth fuzzy topologies, 2002, pp.125, 145~152
  28. P. M. Pu, "Fuzzy topology I. Neighborhood structure of a fuzzy point", J.Math.Anal.Appl., 76, pp.571~599 (1982)
  29. P. M. Pu, "Fuzzy topology II. Products and quotient spaces", J.Math.Anal.Appl., 70, pp.20~37 (1980)
  30. A. A. Ramadan, "Smooth topological spaces", Fuzzy Sets and Systems, 48, pp.371~375 (1992)[DOI]
  31. S. K. Samanta, "Intuitionistic gradation of openness : intuitionistic fuzzy topology", Busefal, 73, pp.8~17 (1997)
  32. S. K. Samanta, "Topology of interval-valued fuzzy sets", Indian J. Pure Appl. Math., 30(1), pp.23~38 (1999)
  33. S. K. Samanta, "Topology of interval-valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 119, pp.483~494 (2001)[DOI]
  34. S. K. Samanta, "On intuitionistic gradation of openness", Fuzzy Sets and Systems, 131, pp.323~336 (2002)[DOI]
  35. A. Sostak, "On a fuzzy topological structure", Rend.Cird.Mat.Palermo : Suppl.Ser. II, pp.89~103 (1985)
  36. T. H. Yalvac, "Fuzzy sets and functions on fuzzy spaces", J.Math.Anal., 126, pp.409~423 (1987)[DOI]
  37. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)[DOI]
  38. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning I", Inform. Sci., 8, pp.199~249 (1975)[DOI]

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