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An identification theorem for the completion of the Hausdorff fuzzy metric
Elsevier (2013)We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff ... -
Fuzzy uniform structures and continuous t-norms
Elsevier (2010)We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy uniform ...
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Standard fuzzy uniform structures based on continuous t-norms
Elsevier (2012)This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011–1021]. Our approach involves a covariant functor Ψ from ...
