This paper fosters both uniform spaces and way-below relations with an innovative analysis of their mutual relationships. A new concept of uniform spaces based on a way below relation (LB-fuzzifying uniform space, or LBFU space, for short) will be introduced and investigated. With this aim, first, some fundamental concepts in L-fuzzifying topological spaces will be studied. Then, we shall explore some L-fuzzifying topological spaces induced by an LBFU space. Furthermore, new concepts of the interior, closure, bases, and subbases relative to an LBFU topology will be established. Finally, the continuity of functions between LBFU spaces will be introduced and investigated.

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