DOI QR코드

DOI QR Code

SOMEWHAT FUZZY PRE-IRRESOLUTE CONTINUOUS MAPPINGS

  • Received : 2012.02.14
  • Accepted : 2012.06.06
  • Published : 2012.09.30

Abstract

We define and characterize a somewhat fuzzy pre-irresolute continuous mapping and a somewhat fuzzy irresolute preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

Keywords

References

  1. K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), 14-32. https://doi.org/10.1016/0022-247X(81)90222-5
  2. A. S. Bin Shahna, On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems 44 (1991), 303-308. https://doi.org/10.1016/0165-0114(91)90013-G
  3. Karl R. Gentry and Hughes B. Hoyle, III, Somewhat continuous functions, Czech. Math. Journal 21 (1971), 5-12.
  4. Y. B. Im, J. S. Lee and Y. D. Cho, Somewhat fuzzy precontinuous mappings, J. Appl. Math. & Informatics 30 (2012), 685-691.
  5. M. N. Mukherjee and S. P. Sinha, Irresolute and almost open functions between fuzzy topological spaces, Fuzzy Sets and Systems 29 (1989), 381-388. https://doi.org/10.1016/0165-0114(89)90050-X
  6. J. H. Park and B. H. Park, Fuzzy pre-irresolute mappings, Pusan Kyongnam Math. J. 10 (1994) 303-312.
  7. G. Thangaraj and G. Balasubramanian, On somewhat fuzzy TEX>${\alpha}$-continuous functions, J. Fuzzy Math. 16 (2008), 641-651.
  8. G. Thangaraj and G. Balasubramanian, On somewhat fuzzy continuous functions, J. Fuzzy Math. 11 (2003), 725-736.
  9. G. Thangaraj and G. Balasubramanian, On somewhat fuzzy semicontinuous functions, Kybernetika 137 (2001), 165-170.