We introduce the concepts of smooth <mml:math alttext="$\alpha$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&#945;</mml:mi></mml:math>-closure and smooth <mml:math alttext="$\alpha$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&#945;</mml:mi></mml:math>-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.

<mml:math alttext="$\alpha$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>-compactness in smooth topological spaces


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International Journal of Mathematics and Mathematical Sciences

α-compactness in smooth topological spaces

Abstract

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