International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Results on Fuzzy Weakly (r, s)-Continuous Mappings on the Intuitionistic Fuzzy Topological Spaces in Šostak's Sense

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • Published : 2008.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we investigate some characterizations for fuzzy weakly (r, s)-continuous mapping on an intuitionistic fuzzy topological space in ${\check{S}}ostak's$ sense.

Keywords

References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  3. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, Gradation of openness : Fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242 https://doi.org/10.1016/0165-0114(92)90329-3
  4. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  5. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76
  6. R. Erturk and M. Demirci, On the compactness in fuzzy topological spaces in Sostak's sense, Mat. Vesnik 50 (1998), no.3-4, 75-81
  7. H. Gurcay, D. Coker, and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378
  8. E. P. Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238
  9. S. O. Lee and E. P. Lee, Fuzzy (r,s)-preopensets, International J. Fuzzy Logic and Intelligent Systems 5 (2005), 136-139 https://doi.org/10.5391/IJFIS.2005.5.2.136
  10. S. J. Lee and J. T. Kim, Fuzzy (r,s)-irresolute maps , International J. Fuzzy Logic and Intelligent Systems 7 (2007), 49-57 https://doi.org/10.5391/IJFIS.2007.7.1.049
  11. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375 https://doi.org/10.1016/0165-0114(92)90352-5
  12. A. A. Ramadan, S. E. Abbas, and A. A. Abd El-latif, Compactness in intuitionistic fuzzy topological spaces, International Journal of Mathematics and Mathematical Sciences (2005), 19-32
  13. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. On Fuzzy S-weakly (r,s)-Continuous Mappings vol.19, pp.1, 2009, https://doi.org/10.5391/JKIIS.2009.19.1.128