Abstract
In this paper a new notion of fuzzy uniform structure is presented and investigated. Fuzzy uniform structures are given as special fuzzy filters. Of special interest are those fuzzy uniform structures which are sup-fuzzy filters. They can be characterized by a related notion of fuzzy syntopogenous structure. As is shown, fuzzy metrics (Gähler and Gähler, 1994) generate fuzzy uniform structures in our sense. Each fuzzy uniform structure has an associated global homogeneous fuzzy neighborhood structure and hence also an associated fuzzy topology. In case of a 0, 1-fuzzy uniform structure and even in a more general case, a fuzzy uniform structure of the first type can be associated. There are given relation to Huttons's and Katsaras' notions of fuzzy uniform structure (Hutton, 1977; Katsaras, 1979) and to the notion of fuzzy syntopogenous structure in sense of Katsaras and Petalas (1984).
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