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  and  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  and  and investigate some of their properties.