Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun (Department of Mathematics Kangwon National University) ;
  • Park, Chun-Kee (Department of Mathematics Kangwon National University)
  • Received : 2005.07.26
  • Published : 2005.09.30
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Abstract

We introduce the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and obtain some of their structural properties. We also introduce the concepts of several types of quasi-smooth ${\alpha}$- compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set and investigate some of their properties.

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