Completely connected fuzzy topological spaces (Q1311837)

The concepts of connectedness and path-connectedness in fuzzy topological spaces have been discussed by \textit{Zheng Chong-you} [ibid. 14, 273-280 (1984; Zbl 0555.54005)]. The concept of complete connectedness for topological spaces has been discussed in [\textit{B. Ricceri} and \textit{A. Villani}, Openness properties for continuous real functions on connected spaces, Report, University of Catania (private communication 1986)]. The purpose of this paper is to introduce and study complete connectedness for fuzzy topological spaces and this will fill up a gap in the existing literature.