DOI QR코드

DOI QR Code

ON FUZZY S-WEAKLY r-M-CONTINUOUS FUNCTIONS ON FUZZY r-MINIMAL SPACES

  • 투고 : 2010.07.12
  • 심사 : 2011.03.03
  • 발행 : 2011.05.30

초록

We introduce the concept of fuzzy S-weakly r-M-continuous functions on fuzzy r-minimal spaces, and investigate some characterizations of such functions and the relations between the continuity and fuzzy r-minimal compactness on fuzzy r-minimal spaces.

키워드

참고문헌

  1. D. Chan and J.S. Pang, The generalized quasi variational inequality problems, Math. Oper. Research 7 (1982), 211-222. https://doi.org/10.1287/moor.7.2.211
  2. S. E. Abbas, Fuzzy fi-irresolute functions, Applied Mathematics and Computation, 157 (2004), 369-380. https://doi.org/10.1016/j.amc.2003.08.040
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  4. 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
  5. S. J. Lee and E. P. Lee, Fuzzy r-preopen and fuzzy r-precontinuous maps, Bull. Korean Math. Soc., 36 (1999), 91-108.
  6. 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
  7. S. J. Lee and E. P. Lee, Fuzzy r-regular 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
  8. 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.
  9. W. K. Min and M. H. Kim, On Fuzzy r-Minimal Semicompactness On Fuzzy r-Minimal Spaces, submitted. https://doi.org/10.5391/IJFIS.2011.11.2.071
  10. W. K. Min, Fuzzy Weakly r-M-Continuous Functions on Fuzzy r-Minimal Structures, J. Appl. Math. & Informaics, 28(3-4)(2010), 993-1001.
  11. W. K. Min, Fuzzy Almost r-M-Continuous Functions on Fuzzy r-Minimal Structures, J. Appl. Math. & Informaics, J. Appl. Math. & Informaics, 28(5-6)(2010), 1553-1560.
  12. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems, 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  13. Y. H. Yoo, W. K. Min and J. I. Kim. Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces, Far East Journal of Mathematical Sciences, 33(2)(2009), 193-205.
  14. Y. H. Yoo, W. K. Min and J. I. Kim., Fuzzy r-minimal compactness on fuzzy r-minimal spaces, Int. J. Fuzzy Logic and Intelligent Systems, 9(4)(2009), 281-284. https://doi.org/10.5391/IJFIS.2009.9.4.281
  15. L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X