Advances in Theoretical and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 3

Semi-compactness and S*-closedness in smooth L-fuzzy topological spaces

  • Author:
  • A. Arzu Arı, Halis Aygün
  • Total Page Count: 17
  • Page Number: 197 to 213

Department of Mathematics, Faculty of Education, Kocaeli University, Umuttepe Campus, 41380, Izmit, Turkey.

*E-mail: abural@kou.edu.tr

**E-mail: halis@kou.edu.tr

AMS Subject Classification: 54A40.

Abstract

In this work, we introduce definitions of smooth semi-compactness and S*-closedness for arbitrary L-fuzzy sets in smooth L-fuzzy topological spaces and study some of their properties. We also investigate relations between these concepts and the other definitions of compactness in smooth L-fuzzy spaces.

Keywords

Smooth fuzzy topology, smooth semi-open set, smooth semi-closed set, smooth semi compactness, S*-closedness