DOI QR코드

DOI QR Code

On Fuzzy M-Sets and Fuzzy M-Continuity

  • Published : 2005.03.01

Abstract

In this paper, we introduce the concept of fuzzy m-sets induced by a given fuzzy supratopology and investigate general properties of the new class consisted of fuzzy m-sets. We also introduce notions of fuzzy m-continuity, fuzzy m-open(closed) maps and study some properties of them.

Keywords

References

  1. M. E. Abd El-Monsef and A. E. Ramadan, 'On fuzzy supratopology spaces,' Indian J. Pure. Appl. Math., Vol 718(4), pp 322-329, 1987
  2. 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
  3. A. S. Mashhour, A. A. Allam, F. S. Mahmoud and F. H. Khedr, 'On supratopological spaces,' Indian J. Pure. App!. Math., Vol. 14(4), pp. 502-510, 1983
  4. W. K. Min, 'A note on fuzzy s-maps,' J. Fuzzy Logic and Intelligent Sys., Vol. 8(6), pp. 48-52, 1998
  5. M. K. Singal and A. R. Singal, 'Fuzzy alpha -sets and alpha-continuous maps,' Fuzzy Sets and systems, Vol. 48, pp. 383-390, 1992 https://doi.org/10.1016/0165-0114(92)90354-7
  6. L. A. Zadeh, 'Fuzzy sets,' Inform. and Control, Vol. 8, pp. 338-353, 1965 https://doi.org/10.1016/S0019-9958(65)90241-X