MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On the compactness in fuzzy topological spaces in Sostak's sense
Riza Ertürk and Mustafa Demirci

Abstract

In this paper, we establish new definitions of smooth closure and smooth interior of a fuzzy set [3] under the name of fuzzy closure and fuzzy interior of a fuzzy set which satisfy almost all properties of the corresponding definitions in fuzzy topological spaces in Chang's sense. As a consequence of these definitions we show that the topological concepts, especially various types of compactness, can be presented in a simple way, with no additional hypotheses needed which occured in [3] and with no counterpart in [2, 4, 6].

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Keywords: Smooth closure, smooth interior, fuuzy topological space.

MSC: 54A40, 54D30

Pages:  75--81     

Volume  50 ,  Issue  3$-$4 ,  1998