ON LEBESGUE PROPERTY FOR FUZZY METRIC SPACES
ON LEBESGUE PROPERTY FOR FUZZY METRIC SPACES
Sugata Adhya, A. Deb Ray
[PDF]
Abstract
We provide several characterizations of the Lebesgue property for fuzzy metric spaces. It is known that a fuzzy metric space is Lebesgue if and only if every real-valued continuous function is uniformly continuous. Here we show that it suces to examine uniform continuity of bounded real-valued continuous functions for characteriz- ing Lebesgue property in fuzzy setting.
Keywords
Fuzzy metric space, uniformly continuous function, Lebesgue property.