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INTUITIONISTIC FUZZY FUNCTIONS

  • Hanafy, I.M. (Department of Mathematics, Faculty of Education, Suez Canal University)
  • Published : 2003.12.01

Abstract

In this paper, we generally introduce some of the terminology of Yalvac [10] and Azad [4] in intuitionistic fuzzy topological spaces. In addition to the fundamental concepts of intuitionistic fuzzy sets, we emphasize the usefulness of the concepts of intuitionistic fuzzy points intuitionistic fuzzy elementhood. Mainly, this paper is devoted to the study of intuitionistic fuzzy topological spaces with specific attention to the weaker forms of fuzzy continuity.

Keywords

References

  1. K.Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, (1983) (in Bulgarian)
  2. K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986),87-96 https://doi.org/10.1016/S0165-0114(86)80034-3
  3. D.Uoker , An introduction to fuzzy subspaces inintuitionistic fuzzy topological spaces, J. Fuzzy Math.4(2)(1996),749-764
  4. K.K. Azad, On fuzzy semicontinuity, fuzzy almostcontinuity and fuzzy weakly continuity, J. Math. Anal.Appl. 82(1981), 14-32 https://doi.org/10.1016/0022-247X(81)90222-5
  5. D.Uoker , An introduction to intuitionistic fuzzy topologicalspaces, Fuzzy Sets and Systems,88(1997),81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  6. D.Coker and M.Demirci, On intuitionistic fuzzypoints ,NIFS 1(1995)79-84
  7. H.Gurcay, D.Uoker and A.H.Es, On fuzzy continuity inintuitionistic fuzzy topological spaces, J. Fuzzy Math.5(2)(1997),365-378
  8. I.M.Hanafy, Fuzzy-y open sets and fuzzy 7-continuityin intuitionistic fuzzy topological spaces, J. Fuzzy Math.,Vol.lONo 1.(2002),9-19
  9. P.P.Ming and L.Y.Ming, Fuzzy topology I Neighborhood structure of a fuzzy point and Moore Smith convergence, J. Math. Anal. Appl. 76(1980),571-599 https://doi.org/10.1016/0022-247X(80)90048-7
  10. T.H.Yalvac, Fuzzy sets and functions on fuzzy spaces, J.Math. Anal. AppI. 126(1987),409-423 https://doi.org/10.1016/0022-247X(87)90050-3