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Weak smooth $\alpha$-structure of smooth topological spaces

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Abstract

In [3] and [6] the concepts of smooth closure, smoothinterior, smooth alpha-closure and smooth alpha-interior ofa fuzzy set were introduced and some of their properties wereobtained. In this paper, we introduce the concepts of severaltypes of weak smooth compactness and weak smoothalpha-compactness in terms of these concepts introduced in [3]and [6] and investigate some of their properties.

참고문헌 (5)

  1. "Smooth axiomatics"
  2. "On several types of compactness in smooth topological spaces", 90, pp.83~88 (1997)
  3. "Three topological structures of smoothtopological spaces", 101, pp.185~190 (1999)
  4. "E. E. Kerre and A. A. Ramadan \paper Almost compactness and near compactness in smooth topological spaces \jour Fuzzy Sets and Systems \vol 62 \yr 1994\pages 193--202"
  5. "$\alpha$-compactness in smooth topological spaces", 2003(46), pp.2897~2906 (2003)

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