Biblioteca de la Universidad Complutense de Madrid

On fuzzy subnets.


Lupianez, Francisco Gallego (2001) On fuzzy subnets. Fuzzy Sets and Systems, 119 (3). pp. 535-538. ISSN 0165-0114

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In General Topology, there is a close paralellism between the theories of convergence of nets and of filters, in which "subnet" corresponds to "finer filter", but this relationship depends on the notion of subnet that one uses. Various authors have defined, for fuzzy topological spaces, the convergence of fuzzy filters and fuzzy nets, and have obtained connections between these theories; however these authors do not obtain a satisfactory relation between a fuzzy net and the fuzzy net based on the prefilter generated by it. In this paper we define for fuzzy nets a new notion of fuzzy subnet, that solves this question.

Tipo de documento:Artículo
Palabras clave:Topology; Convergence; Fuzzy filters; Fuzzy nets; Subnets
Materias:Ciencias > Matemáticas > Topología
Código ID:15304

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Depositado:22 May 2012 09:45
Última Modificación:06 Feb 2014 10:21

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