On initial and final linear fuzzifying uniformities

Abstract

The main purpose of this paper is to study initial and final Hutton type of linear fuzzifying uniformities. The detailed characterizations of initial and final linear fuzzifying uniformities are obtained. In addition, the boundedness, complete boundedness and T2 separation axiom of initial linear fuzzifying uniform spaces are investigated. Some examples with respect to initial and final linear fuzzifying uniformities are also provided.