DOI QR코드

DOI QR Code

Semiopen sets intuitionistic fuzzy topological spaces in Sostak′s sense

  • 발행 : 2004.04.01

초록

We introduce the concepts of fuzzy (r, s)-semiopen sets and fuzzy (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

키워드

참고문헌

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-90. 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 sapces in Sostak's sense, BUSEFAL 67 (1996), 67-76.
  6. D. Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy toplogical sapces, J. Fuzzy Math. 3 (1995), 899-909.
  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 and Y. B. Im, Mated fuzzy topological spaces, J. of Fuzzy Logic and Intelligent Systems 11 (2001), 161-165.
  9. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  10. A. Sostak, On a fuzzy topological structure, Supp. Rend. Circ. Mat. Palermo (Ser. II) 11 (1985), 89-103.
  11. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. FUZZY α-WEAKLY (r, s)-CONTINUOUS MAPPINGS vol.31, pp.1, 2009, https://doi.org/10.5831/HMJ.2009.31.1.097
  2. FUZZY STRONGLY (r, s)-PREOPEN AND PRECLOSED MAPPINGS vol.26, pp.4, 2011, https://doi.org/10.4134/CKMS.2011.26.4.661
  3. Intuitionistic Smooth Bitopological Spaces and Continuity vol.14, pp.1, 2014, https://doi.org/10.5391/IJFIS.2014.14.1.49
  4. Generalized Double Fuzzy Semi-Basically Disconnected Spaces vol.14, pp.3, 2014, https://doi.org/10.5391/IJFIS.2014.14.3.216