[EN] Let (X, d) be a metric space. In this paper we provide some observations about the fuzzy metric space in the sense of Kramosil and Michalek (Y, N, ∧), where Y is the set of non-negative real numbers [0, ∞[ and N(x, ...
[EN] In 1982, the notion of indistinguishability operator was introduced by E. Trillas in order to fuzzify the crisp notion of equivalence relation (\cite{Trillas}). In the study of such a class of operators, an outstanding ...
Gálvez-Rodríguez, José; Sánchez-Granero, Miguel Ángel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this work we elaborate a theory of a cumulative distribution function on a Polish ultrametric space from a probability measure defined in this space. With that purpose, the idea is to define an order in the space ...
Font, Juan J.; Sanchis, Delia; Sanchis, Manuel(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] Let C(K, E1) be the space of continuous functions defined between a compact Hausdorff space K and the space of fuzzy numbers E1 endowed
with the supremum metric. We provide a sufficient set of conditions on a subspace ...
Alegre Gil, Maria Carmen(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this paper we prove a Banach-type fixed point theorem and a Kannan-type theorem in the setting of quasi-metric spaces using the notion of mw-distance. These theorems generalize some results that
have recently ...