We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the alpha-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper ...
Rodríguez López, Jesús(National Library of Serbia, 2017)
[EN] The concept of fuzzy uniform structure was introduced in [7] as a fuzzy counterpart of the concept of gauge associated with a uniformity. In fact, the category of fuzzy uniform structures is isomorphic to that of ...
It is well known that both weightable quasi-metrics and the Hausdorff distance provide efficient tools in several areas of Computer Science. This fact suggests, in a natural way, the problem of when the upper and lower ...
[EN] Different types of fuzzy uniformities have been introduced in the literature standing out the notions due to Hutton, Hohle and Lowen. The main purpose of this paper is to study several methods to endow a fuzzy metric ...
[EN] Usually, fuzzy metric spaces are endowed with crisp topologies or crisp uniformities. Nevertheless, some authors have shown how to construct in this context different kinds of fuzzy uniformities like a Hutton [0, ...
The Topology and its Applications Research Group from the Instituto de Matemática Pura y Aplicada (IUMPA), Universitat Politècnica de València, organizes the International Summer Workshop in Applied Topology - ISWAT 2014, ...
The Topology and its Applications Research Group from the Instituto Universitario de Matematica Pura y Aplicada (IUMPA), Universitat Politecnica de Valencia, organizes the Workshop on Applied Topological Structures - WATS ...
General Topology has become one of the fundamental parts of mathematics.Nowadays, as a consequence of an intensive research activity, this mathematical branch has been shown to be very useful in modeling several problems ...
General Topology has become one of the fundamental parts of mathematics.Nowadays, as a consequence of an intensive research activity, this mathematical branch has been shown to be very useful in modeling several problems ...
Rodríguez López, Jesús; Sanchez Granero, Miguel Angel(Elsevier, 2011-01-01)
We study some basic properties of the so-called bornological convergences in the realm of quasi-uniform spaces. In particular, we revisit the results about when these convergences are topological by means of the use of ...
Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we ...
[EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, ...
[EN] The main purpose of this paper is to identify topologies on the closed subsets C(X) of a Hausdorff space X that are sequentially equivalent to classical Kuratowski-Painleve convergence K. This reduces to a study of ...
Beer, Gerald; Rodríguez López, Jesús(Michigan State University Press, 2010)
A function gg between directed sets ⟨Σ,⪰′⟩⟨Σ,⪰′⟩ and ⟨Λ,⪰⟩⟨Λ,⪰⟩ is called \emph{ultimately increasing} if for each σ1∈Σσ1∈Σ there exists σ2⪰′σ1σ2⪰′σ1 such that σ⪰′σ2⇒g(σ)⪰g(σ1)σ⪰′σ2⇒g(σ)⪰g(σ1). A subnet of a net aa defined ...