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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 46, Pages 2897-2906
doi:10.1155/S0161171203303035

α-compactness in smooth topological spaces

Chun-Kee Park , Won Keun Min and Myeong Hwan Kim

Department of Mathematics, Kangwon National University, Chuncheon 200-701, Korea

Abstract

We introduce the concepts of smooth α-closure and smooth α-interior of a fuzzy set which are generalizations of smooth closure and smooth interior of a fuzzy set defined by Demirci (1997) and obtain some of their structural properties.