Some Properties of Product Smooth Fuzzy Topological Spaces

  • Park, Jin-Won (Department of Mathematics Education Cheju National University)
  • Published : 1999.12.01

Abstract

We will investigate some properties of product smooth fuzzy topological spaces. We will show that a projection map in product smooth fuzzy topological spaces need not be a fuzzy open map. Furthermore a slice need not be homeomorphic to the coordinate spance which is parallel to it.

Keywords

References

  1. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C. L. Chang
  2. Fuzzy sets and Systems v.54 Fuzzy topology K. C. Chattopadhyay;S. K. Samanta
  3. Fuzzy and Systems v.45 Fuzzy topology redefined R. N. Hazra;S. K. Samanta;K. C. Chattopadhyay
  4. Fuzzy sets and Systems v.49 no.2 Gradation of openness:Fuzzy topology R. N.Hazra;S. K. Samanta;K. C. Chattopadhyay
  5. Fuzzy toplogy Liu Ying-Ming;Luo Mao-Kang
  6. J. of Fuzzy Logic and Intelligent Systems v.8 no.3 Initial smooth fuzzy topological spaces Y. C. Kim
  7. J. Math. Anal. Appl. v.56 Fuzzy topological spaces and fuzzy compactness R. Lowen
  8. Fuzzy sets and Systems v.104 Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures W. Peeters
  9. Fuzzy sets and Systems v.48 Smooth topological spaces A. A. Ramadan
  10. Rend. Circ. Mat. Palermo Set Ⅱ On a fuzzy topological structure A.P.Sostak
  11. Russian Math. Surveys v.44 no.6 Two decades of fuzzy topology: basic ideas, notions, and results A. P. Sostak