• closedAccess   Complete invariant fuzzy metrics on groups 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01-01)
      We study some questions related to complete fuzzy metric topological groups (in the sense of Kramosil and Michael). Invariant fuzzy metrics are characterized and we prove that if (G, M, ∗) is a fuzzy metric group such ...
    • 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 ...
    • openAccess   Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions 

      Font, Juan J.; Sanchis, Delia; Sanchis López, Manuel Elsevier (2018-05-15)
      Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis. In this paper we study completeness, ...
    • closedAccess   Fuzzy quasi-pseudometrics on algebraic structures 

      Sánchez, Iván; Sanchis López, Manuel Elsevier (2018-01)
      In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
    • openAccess   Pointwise convergence topology and function spaces in fuzzy analysis 

      Jardon, Daniel R.; Sanchis López, Manuel University of Sistan and Baluchestan (2018-03)
      We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the ...
    • openAccess   Sensitive dependence for nonautonomous discrete dynamical systems 

      Miralles Montolío, Alejandro; murillo arcila, marina; Sanchis López, Manuel Elsevier (2018-03)
      Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ...