Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTERVAL-VALUED SMOOTH TOPOLOGICAL SPACES

  • Choi, Jeong-Yeol (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Kim, So-Ra (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
  • Received : 2010.06.08
  • Accepted : 2010.11.22
  • Published : 2010.12.25
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Abstract

We list two kinds of gradation of openness and we study in the sense of the followings: (i) We give the definition of IVGO of fuzzy sets and obtain some basic results. (ii) We give the definition of interval-valued gradation of clopeness and obtain some properties. (iii) We give the definition of a subspace of an interval-valued smooth topological space and obtain some properties. (iv) We investigate some properties of gradation preserving (in short, IVGP) mappings.

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