Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

PREOPEN SETS IN SMOOTH BITOPOLOGICAL SPACES

  • Published : 2003.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the notions of ($T_{i},\;T_{j}$)-fuzzy (r, s)-preopen sets and fuzzy pairwise (r, s)-precontinuous mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.

Keywords

References

  1. J. Math. Anal. Appl. v.82 On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity K.K.Azad https://doi.org/10.1016/0022-247X(81)90222-5
  2. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C.L.Chang https://doi.org/10.1016/0022-247X(68)90057-7
  3. Fuzzy Sets and Systems v.54 Fuzzy topology; Fuzzy closure operator, fuzzy compactness and fuzzy connectedness K.C.Chattopadhyay;S.K.Samanta https://doi.org/10.1016/0165-0114(93)90277-O
  4. Fuzzy Sets and Systems v.49 Gradation of openness: fuzzy topology K.C.Chattopadhyay;R.N.Hazra;S.K.Samanta https://doi.org/10.1016/0165-0114(92)90329-3
  5. Fuzzy Sets and Systems v.45 Fuzzy topology redefined R.N.Hazra;S.K.Samanta;K.C.Chattopadhyay https://doi.org/10.1016/0165-0114(92)90093-J
  6. Simon Stevin v.63 Biproximities and fuzzy bitopological spaces A.Kandil
  7. Far East J. Math. Sci. v.3 Semiopen sets on smooth bitopological spaces E.P.Lee;Y.B.Im;H.Han
  8. Bull. korean Math. Soc. v.36 no.1 Fuzzy r-preopen sets and fuzzy r-precontinuous maps S.J.Lee;E.P.Lee
  9. Fuzzy Sets and Systems v.48 Smooth topological spaces A.A.Ramadan https://doi.org/10.1016/0165-0114(92)90352-5
  10. Fuzzy Sets and Systems v.64 Semi-open sets, semi-continuity and semi-open mappings in fuzzy bitopological spaces S.Sampath Kumar https://doi.org/10.1016/0165-0114(94)90166-X
  11. Fuzzy Sets and Systems v.62 On fuzzy pairwise α-continuity and fuzzy pairwise pre-continuity S.Sampath Kumar https://doi.org/10.1016/0165-0114(94)90063-9
  12. J. Math. Anal. Appl. v.132 Semi-interior and semi-closure of a fuzzy set T.H.Yalvac https://doi.org/10.1016/0022-247X(88)90067-4
  13. Inform. and Control v.8 Fuzzy sets L.A.Zadeh https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. Fuzzy Pairwise β-(r, s)-continuous Mappings vol.21, pp.2, 2011, https://doi.org/10.5391/JKIIS.2011.21.2.244
  2. Fuzzy β-(r, s)-Open Sets in Smooth Bitopological Spaces vol.10, pp.2, 2010, https://doi.org/10.5391/IJFIS.2010.10.2.119