Ramos Canos, Jorge(Universitat Politècnica de València, 2021-10-20)
[ES] Las funciones de agregación son un tipo especial de funciones que permiten combinar un número finito de entradas en una única salida que debe resumir de algún modo la información de todas las entradas. Como ejemplo ...
[EN] In the last years fuzzy (quasi-)metrics and indistinguishability operators have been used as a mathematical tool in order to develop appropriate models useful in applied sciences as, for instance, image processing, ...
[EN] The problem of aggregating fuzzy structures, mainly fuzzy binary relations, has deserved a lot of attention in the last years due to its application in several fields. Here, we face the problem of studying which ...
[EN] Aggregation is a mathematical process consisting in the fusion of a set of values into a unique one and representing them in some sense. Aggregation functions have demonstrated to be very important in many problems ...
Mancero Mosquera, Marcelo Isaac(Universitat Politècnica de València, 2024-02-05)
[ES] Un espacio topológico de Alexandroff es un tipo especial de espacio topológico que verifica que la intersección arbitraria de conjuntos abiertos es un conjunto abierto. Equivalentemente, cualquier punto del espacio ...
[EN] In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-uniformity from a crisp uniformity. In this
paper we present other different methods for making this based mainly in the concept of a fuzzy ...
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 ...
Pedraza Aguilera, Tatiana; Rodríguez López, Jesús(University of Sistan and Baluchestan, 2020-04)
[EN] The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi [25] and Georgescu [9], ...
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 ...
Clement, Collin(Universitat Politècnica de València, 2024-09-10)
[ES] La semántica denotacional es una rama de la Ciencia de la Computación dedicada a dotar de significado a los lenguajes de programación mediante el diseño de objectos matemáticos (denominados denotaciones o dominios ...
[EN] We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical ...
[EN] It is a natural question if a Cartesian product of objects produces an object of the same type. For example, it is well known that a countable Cartesian product of metrizable topological spaces is metrizable. Related ...
Company Rossi, Rafael; García Raffi, Luis Miguel; Pérez Peñalver, María José; Ponsoda Miralles, Enrique; Rodríguez López, Jesús; Romero Vivó, Sergio; Tirado Peláez, Pedro(Instituto de Ciencias de la Educación de la Universidad de Alicante, 2011-11-08)
[ES] En el contexto de los nuevos planes de estudio, los profesores del departamento de Matemática Aplicada de la
ETSICCP de Valencia nos planteamos cómo enfocar las prácticas de informática de las dos asignaturas de
primer ...
[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] Given a countable set of families {Dk:k¿N} of pseudometrics over the same set D, we study the power-aggregations of this class, that are defined as convex combinations of integral averages of powers of the elements ...
[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 ...