Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

FUZZY STRONGLY r-SEMICONTINUOUS MAPS

  • Lee, Seok-Jong (Department of Mathematics Chungbuk National University) ;
  • Lee, Eun-Pyo (Department of Mathematics Chungbuk National University)
  • Published : 2003.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

As a generalizaton of the concepts of fuzzy strongly semiopen sets and fuzzy strongly semicontinuous maps, we introduce the concepts of fuzzy strongly r-semiopen sets and fuzzy strongly r-semicontinuous maps in fuzzy topology. Also we introduce fuzzy r-semicontinuous and fuzzy r-semiclosure. By these concept, we characterize fuzzy strongly r-semicontinuous, fuzzy strongly r-semiopen and fuzzy strongly r-semiclosed maps.

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. Proc. ICIS'92 Fuzzy pre-semiopen sets and fuzzy pre-semicontinuity S.Z.Bai
  3. J. Math. Anal. Appl. v.24 Fuzzy toplogical spaces C.L.Chang https://doi.org/10.1016/0022-247X(68)90057-7
  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. International Journal of Mathematics and Mathematical Sciences v.27 no.1 Fuzzy r-continuous and fuzzy r-semicontinuous maps S.J.Lee;E.P.Lee https://doi.org/10.1155/S0161171201010882
  7. J. Math. Anal. Appl. v.56 Fuzzy topological spaces and fuzzy compactness R.Lowen https://doi.org/10.1016/0022-247X(76)90029-9
  8. Fuzzy Sets and Systems v.48 Smooth topological spaces A.A.Ramadan https://doi.org/10.1016/0165-0114(92)90352-5
  9. Suppl. Rend. Circ. Matem. Janos Palermo, SrⅡ v.11 On a fuzzy topological structure A.P.Sostak
  10. Russian Mathematical Surveys v.44 no.6 Two decades of fuzzy topology: basic ideas, notions and results A.P.Sostak https://doi.org/10.1070/RM1989v044n06ABEH002295
  11. 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