On fuzzy theta-convergences

Abstract

In this paper we introduce and study the notions of fuzzy theta -convergence and weakly theta -convergence on a fuzzy topological space. These notions can be considered as generalizations of the convergence defined in Georgiou and Papadopoulos (1998). Also the forementioned theta -convergence does not coincide with the one defined in Chen and Chenn (1997). The importance of these convergences relies on the fact that they behave equally well as the convergence defined in Georgiou and Papadopoulos (1998). (C) 2000 Elsevier Science B.V. All rights reserved.