DOI QR코드

DOI QR Code

Intuitionistic Smooth Bitopological Spaces and Continuity

  • Kim, Jin Tae (Department of Mathematics, Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics, Chungbuk National University)
  • Received : 2014.02.26
  • Accepted : 2014.03.19
  • Published : 2014.03.25

Abstract

In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.

Keywords

References

  1. C. L. Chang, "Fuzzy topological spaces," Journal of Mathematical Analysis and Applications, vol. 24, no. 1, pp. 182-190, Oct. 1968. http://dx.doi.org/10.1016/0022-247X(68)90057-7
  2. A. P. Sostak, "On a fuzzy topological structure," Rendiconti Circolo Matematico Palermo (Supplement Series II), vol. 11, pp. 89-103, 1985.
  3. A. P. Sostak, "Two decades of fuzzy topology: basic ideas, notions, and results," Russian Mathematical Surveys, vol. 44, no. 6, pp. 125-186, 1989. http://dx.doi.org/10.1070/RM1989v044n06ABEH002295
  4. A. A. Ramadan, "Smooth topological spaces," Fuzzy Sets and Systems, vol. 48, no. 3, pp. 371-375, Jun. 1992. http://dx.doi.org/10.1016/0165-0114(92)90352-5
  5. D. Coker, "An introduction to intuitionistic fuzzy topological spaces," Fuzzy Sets and Systems, vol. 88, pp. 81-89, 1997. https://doi.org/10.1016/S0165-0114(96)00076-0
  6. D. Coker and M. Demirci, "An introduction to intuitionistic fuzzy topological spaces in Sostak's sense," BUSEFAL, vol. 67, pp. 67-76, 1996
  7. K. T. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, Aug. 1986. http://dx.doi.org/10.1016/S0165-0114(86)80034-3
  8. T. K. Mondal and S. Samanta, "On intuitionistic gradation of openness," Fuzzy Sets and Systems, vol. 131, no. 3, pp. 323-336, Nov. 2002. http://dx.doi.org/10.1016/S0165-0114(01)00235-4
  9. A. Kandil, "Biproximities and fuzzy bitopological spaces," Simon Stevin, vol. 63, no. 1, pp. 45-66, 1989.
  10. E. P. Lee, "Pairwise semicontinuous mappings in smooth bitopological spaces," Journal of Korean Institute of Intelligent Systems, vol. 12, no. 3, pp. 269-274, Jun. 2002. https://doi.org/10.5391/JKIIS.2002.12.3.269
  11. E. P. Lee, Y. B. Im, and H. Han, "Semiopen sets on smooth bitopological spaces," Far East Journal of Mathematical Sciences, vol. 3, pp. 493-511, 2001.
  12. P. K. Lim, S. R. Kim, and K. Hur, "Intuitionistic smooth topological spaces," Journal of Korean Institute of Intelligent Systems, vol. 20, no. 6, pp. 875-883, Oct. 2010. http://dx.doi.org/10.5391/JKIIS.2010.20.6.875
  13. E. P. Lee, "Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense," Journal of Korean Institute of Intelligent Systems, vol. 14, no. 2, pp. 234-238, Apr. 2004. http://dx.doi.org/10.5391/JKIIS.2004.14.2.234

Cited by

  1. PAIRWISE SEMIOPEN AND SEMICLOSED MAPPINGS IN INTUITIONISTIC SMOOTH BITOPOLOGICAL SPACES vol.29, pp.2, 2016, https://doi.org/10.14403/jcms.2016.29.2.367