WEAK QUASI-SMOOTH α-COMPACTNESS IN SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun (Department of Mathematics Kangwon National University) ;
  • Park, Chun-Kee (Department of Mathematics Kangwon National University)
  • Received : 2006.05.07
  • Published : 2006.06.30

Abstract

In this paper, 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 weak 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.

Keywords