ESTRUCTURAS ORDENADAS Y TOPOLOGIA: TOPOLOGIA SIN PUNTOS, TOPOLOGIA RETICULO-VALUADA Y NO COMMUTATIVA, Y REPRESENTACIONES NUMERICAS

MTM2015-63608-P

Nombre agencia financiadora Ministerio de Economía y Competitividad
Acrónimo agencia financiadora MINECO
Programa Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia
Subprograma Subprograma Estatal de Generación del Conocimiento
Convocatoria Proyectos de I+D dentro del Subprograma Estatal de Generación del Conocimiento (2015)
Año convocatoria 2015
Unidad de gestión Dirección General de Investigación Científica y Técnica
Centro beneficiario UNIVERSIDAD DEL PAIS VASCO EUSKAL HERRIKO UNIBERTSITATEA
Centro realización FACULTAD DE CIENCIA Y TECNOLOGÍA - DEPARTAMENTO DE MATEMÁTICA APLICADA, ESTADÍSTICA E INVESTIGACIÓN OPERATIVA
Identificador persistente http://dx.doi.org/10.13039/501100003329

Publicaciones

Found(s) 2 result(s)
Found(s) 1 page(s)

On fuzzy uniformities induced by a fuzzy metric space

RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
  • Gutierrez Garcia, Javier
  • Rodríguez López, Jesús|||0000-0001-5141-9977
  • Romaguera Bonilla, Salvador
[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 space (X, M, *), in the sense of George and Veeramani, with a probabilistic uniformity and with a Hutton [0, 1](-quasi)-uniformity. We will show the functorial behavior of these constructions as well as its relation with respect to Lowen's functors and Katsaras's functors, which establish a relationship between the categories of probabilistic uniformities and Hutton [0, 1](-quasi)-uniformities with the category of classical uniformities respectively. Furthermore, we also study the fuzzy topologies associated with these fuzzy uniformities. (C) 2017 Elsevier B.V. All rights reserved., The first named author acknowledges the support of the grants MTM2015-63608-P (MINECO/FEDER, UE) and IT974-16 (Basque Government).The second named author is supported by the grant MTM2015-64373-P (MINECO/FEDER, UE).




An axiomatic approach to finite means

Zaguán. Repositorio Digital de la Universidad de Zaragoza
  • Campión, M.J.
  • Candeal, J.C.
  • Catalán, R.G.
  • Giarlotta, A.
  • Greco, S.
  • Induráin, E.
  • Montero, J.
In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring theoretical links to some branches of Mathematics as well as to multidisciplinary applications.