On the soft uniformity and its some properties

Abstract

In the present paper, we introduce the notion of a soft uniformity by using the soft set theory. The concepts of a soft uniformity, a soft uniformity base and a soft uniform continuity are presented and their related properties are studied. Also, it is obtained a soft uniformity’s relationship with a soft metric and a soft topology. Moreover, it is shown that a soft uniformly continuous mapping is a soft continuous. This research form the theoretical basis for further applications of a soft uniformity.