Fuzzy Almost Continuous Mappings and Fuzzy Almost Quasi-Compact Mappings

  • Published : 1995.03.01

Abstract

In this paper we introduce the class of fuzzy almost contrinuous mappings. It contains the class of fuzzy continuous mappings and is contained in the class of fuzzy weakly continuous mappings. In section 3 we discuss various properties of such mappings. In section 4 we also introduce the notion of fuzzy almost quasi-compact mappings and give relations between fuzzy almost quasi-compact mappings and the mapping which are introduced in section 2 and 3.

Keywords

References

  1. J. Math. Anal. Appl. v.82 On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity K.K.Azad
  2. J. Math. Anal. Appl. v.82 Fuzzy Hausdorff spaces and fuzzy perfect mappings K.K.Azad
  3. J. Math. Aual. Appl. v.24 Fuzzy topological spaces C.L.Chang
  4. Topology J.Dugundji
  5. J. Math. Anal. Appl. v.56 Fuzzy topological spaces and fuzzy compactness R.Lowen
  6. J. Math. Anal. Appl. v.76 Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence Pu Pao-Ming;Liu Ying-Ming
  7. J. Math. Anal. Appl. v.77 Fuzzy topology. H. Product and quolient spaces Pu Pao-Ming;Liu Ying-Ming
  8. Fuzzy Sets and Systems v.50 Regularly open sets in fuzzy topological spaces M.K.Singal;N.Rajvanshi
  9. Yokohama Math. J. v.16 Almost-continuous mappings M.K.Singal;A.R.Singal
  10. Rocky Mountain J. Math. v.8 Neiborhoods, bases and continuity in fuzzy topological spaces R.H.Warren
  11. J. Math. Anal. Appl. v.45 Fuzzy topology:Product and quotient theorems C.K.Wong