Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

FUZZY WEAKLY r-M CONTINUOUS FUNCTIONS ON FUZZY r-MINIMAL STRUCTURES

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • Received : 2009.08.31
  • Accepted : 2010.02.14
  • Published : 2010.05.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concept of fuzzy weakly r-M continuous function on r-minimal structures and investigate characterizations and properties for such functions.

Keywords

References

  1. S. E. Abbas, Fuzzy $\beta$-irresolute functions, Applied Mathematics and Computation, 157 (2004), 369-380. https://doi.org/10.1016/j.amc.2003.08.040
  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. S. J. Lee and E. P. Lee, Fuzzy r-preopen and fuzzy r-precontinuous maps, Bull. Korean Math. Soc., 36 (1999), 91-108.
  5. S. J. Lee and E. P. Lee, Fuzzy r-continuous and fuzzy r-semicontinuous maps, Int. J. Math. Math. Sci., 27 (2001), 53-63. https://doi.org/10.1155/S0161171201010882
  6. S. J. Lee and E. P. Lee, Fuzzy r -reqular open sets and fuzzy almost r-continuous maps, Bull. Korean Math. Soc., 39 (2002), 91-108. https://doi.org/10.4134/JKMS.2002.39.1.091
  7. 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 Spring Conference 2009, 19(1)(2009), 49-52.
  8. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems, 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  9. Young Ho Yoo, Won Keun Min and Jung Il Kim. Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces, Far East Journal of Mathematical Sciences, 33(2)(2009), 193-205.
  10. Young Ho Yoo, Won Keun Min and Jung Il Kim, Fuzzy r-compactness on fuzzy r-minimal spaces, Int. J. Fuzzy Logic and Intelligent Systems, accepted.
  11. L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X