East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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DECOMPOSITION OF CONTINUITY AND COMPLETE CONTINUITY IN SMOOTH FUZZY TOPOLOGICAL SPACES

  • Amudhambigai, B. (Department of Mathematics Sri Saradha College for Women) ;
  • Uma, M.K. (Department of Mathematics Sri Saradha College for Women) ;
  • Roja, E. (Department of Mathematics Sri Saradha College for Women)
  • Received : 2009.09.05
  • Accepted : 2011.04.04
  • Published : 2011.05.31
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Abstract

In this paper, fuzzy ${\alpha}^*$-set, fuzzy C-set, fuzzy AB-set, fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9]. By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

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References

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