Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

NORMALITY OF FUZZY TOPOLOGICAL SPACES IN KUBIAK-ŠOSTAK'S SENSE

  • Received : 2009.05.12
  • Published : 2011.01.31
Download PDF
⟨ Previous Next ⟩

Abstract

The aim of this paper is to study the normality of fuzzy topological spaces in Kubiak-$\check{S}$ostak's sense. Also, some characterizations and the effects of some types of functions on these types of normality are studied.

Keywords

References

  1. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  2. K. C. Chattopadhyay and S. K. Samanta, Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems 54 (1993), no. 2, 207-212. https://doi.org/10.1016/0165-0114(93)90277-O
  3. Y. C. Kim, A. A. Ramadan, and S. E. Abbas, r-fuzzy strongly preopen sets in fuzzy topological spaces, Mat. Vesnik 55 (2003), no. 1-2, 1-13.
  4. B. Krsteska and Y. C. Kim, Some types of fuzzy normal spaces in Chang's sense, Adv. Fuzzy Sets Syst. 3 (2008), no. 1, 115-129.
  5. T. Kubiak, On fuzzy topologies, Ph. D Thesis, A. Mickiewicz, poznan, 1985.
  6. A. A. Ramadan, S. E. Abbas, and Y. C. Kim, Fuzzy irresolute mappings in smooth fuzzy topological spaces, J. Fuzzy Math. 9 (2001), no. 4, 865-877.
  7. A. P.Sostak, On a fuzzy topological structure, Rend. Circ. Mat. Palermo (2) Suppl. No. 11 (1985), 89-103.
  8. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X