International Journal of Fuzzy Logic and Intelligent Systems

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

DOI QR Code

On Fuzzy r-Minimal Semicompactness on Fuzzy r-Minimal Spaces

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • Received : 2011.03.03
  • Accepted : 2011.04.25
  • Published : 2011.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

The concepts of fuzzy r-minimal semicompact, almost fuzzy r-minimal semicompact, and nearly fuzzy r-minimal semicompact on fuzzy r-minimal spaces arc introduced. We also investigate the relationships between fuzzy r-M-semicontinuous mappings and several types of fuzzy r-minimal semicompactness.

Keywords

References

  1. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl., vol. 24, pp. 182-190, 1968. https://doi.org/10.1016/0022-247X(68)90057-7
  2. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, "Gradation of openness : Fuzzy topology", Fuzzy Sets and Systems, vol. 49, pp. 237-242, 1992. https://doi.org/10.1016/0165-0114(92)90329-3
  3. W. K. Min and M. H. Kim, "Fuzzy r-minimal semiopen sets and fuzzy r-M semicontinuous functions on fuzzy r-minimal spaces", Proceedings of KIIS Sping Conference 2009, vol. 19, no. 1, 2009.
  4. A. A. Ramadan, "Smooth topological spaces", Fuzzy Sets and Systems, vol. 48, pp. 371-375, 1992. https://doi.org/10.1016/0165-0114(92)90352-5
  5. Y. H. Yoo, W. K. Min and J. L. Kim, "Fuzzy r-minimal structures and fuzzy r-minimal spaces", Far East Journal of Mathematical Sciences, vol. 33, no. 2, pp. 193-205, 2009.
  6. Y. H. Yoo, W. K. Min and J. L. Kim, "Fuzzy r-minimal compactness on fuzzy r-minimal spaces", Int. J. Fuzzy Logic and Intelligent Systems, vol. 9, no. 4, pp. 281-284, 2009. https://doi.org/10.5391/IJFIS.2009.9.4.281
  7. L. A. Zadeh, "Fuzzy sets", Inform. and Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X