• closedAccess   An identification theorem for the completion of the Hausdorff fuzzy metric 

      Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel 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 ...
    • openAccess   Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity 

      Rodriguez-Lopez, J.; Romaguera, S.; Sanchis López, Manuel University of Sistan and Baluchestan (2019)
      In [25], Katsaras introduced a method for constructing a Hutton [0,1]-quasi-uniformity from a crisp uniformity. In thispaper we present other different methods for making this based mainly in the concept of a fuzzy uniform ...
    • closedAccess   Fuzzy uniform structures and continuous t-norms 

      Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel 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 ...
    • openAccess   On balancedness and D-Completeness of the space of Semi-lipschitz functions 

      Sanchis López, Manuel; Sánchez Álvarez, J. M.; Romaguera, S. Springer Verlag (2008)
      Let (X, d) be a quasi-metric space and (Y, q) be a quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from (X, d) to (Y, q) that vanish at a point x0 E X, is balanced. Moreover, it is ...
    • closedAccess   On the construction of domains of formal balls for uniform spaces 

      Romaguera, S.; Sánchez Granero, M. A.; Sanchis López, Manuel (2014-05)
      In the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, which ...
    • closedAccess   Standard fuzzy uniform structures based on continuous t-norms 

      Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel 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 ...