Some more results on induced fuzzy topological spaces

✍ Scribed by Anjan Mukherjee

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 297 KB
• Volume: 96
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00308-9

✦ Synopsis

The concept of induced fuzzy topological space, introduced by Weiss [J. Math. Anal. Appl. 50 (1975) 142 150], was defined with the notions of a lower semi-continuous function.

The purpose of this paper is to present some new results on induced fuzzy topological spaces with the notion of ~-open sets introduced by Njastad [Pacific J. Math. 15 (1965) 961-970]. We also study the connections between some covering properties of an ordinary topological space (X, T) and its corresponding induced fuzzy topological space (X, W(T)). In the last section we also introduce a new class of fuzzy supra topological spaces -~-induced fuzzy supra topological space (~-IFST space) and study the properties.