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 Weak smooth $\alpha$-structure of smooth topological spaces Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 143-153 Printed March 1, 2004 Chun-Kee Park, Won Keun Min, Myeong Hwan Kim Kangwon National University, Kangwon National University, Kangwon National University Abstract : In [3] and [6] the concepts of smooth closure, smooth interior, smooth $\alpha$-closure and smooth $\alpha$-interior of a fuzzy set were introduced and some of their properties were obtained. In this paper, we introduce the concepts of several types of weak smooth compactness and weak smooth $\alpha$-compactness in terms of these concepts introduced in [3] and [6] and investigate some of their properties. Keywords : fuzzy sets, smooth topology, $\alpha$-closure, $\alpha$-interior, weak smooth compactness, weak smooth $\alpha$-compactness MSC numbers : 54A40, 03E72 Downloads: Full-text PDF