Abstract
Uniform structure on the T-valued spaces are defined using different set of axioms and basic terms. A different approach to fuzzy uniformities, in terms of T-covers was introduced which seems the most natural one. The purpose of this paper is to present another characterization of fuzzy uniformities in the style of Weil that we call it TWeil uniformity. We formulate and investigate a definition of entourage uniformity alternative to that one of Hutton. It is expressed in terms of coproduct of fuzzy spaces. We identify this new notion with the existing ones by proving the isomorphism between the respective categories. AMS Subject Classification: 54A40, 06D20
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