  In this paper, we introduce the notions of pre-uniform spaces and
pre-proximities and investigate some basic properties about them, where the
definition of pre-uniformity here is different with the pre-uniformities which
are studied in \cite{BR2016}, \cite{GM2007} and \cite{K2016} respectively.
First, we prove that each pre-uniform pre-topology is regular, and give an
example to show that there exists a pre-uniform structure on a finite set such
that the pre-uniform pre-topology is not discrete. Moreover, we give three
methods of generating (strongly) pre-uniformities, that is, the definition of a
pre-base, a family of strongly pre-uniform covers, or a family of strongly
pre-uniform pseudometrics. As an application, we show that each strongly
pre-topological group is completely regular. Finally, we pose the concept of
the pre-proximity on a set and discuss some properties of the pre-proximity.
