대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권3호
  • /
  • Pages.521-532
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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PREOPEN SETS IN SMOOTH BITOPOLOGICAL SPACES

  • 발행 : 2003.07.01
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초록

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.

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참고문헌

  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

피인용 문헌

  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