Standard fuzzy uniform structures based on continuous t-norms
Impacto
Scholar |
Otros documentos de la autoría: Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel
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http://dx.doi.org/10.1016/j.fss.2011.10.008 |
Metadatos
Título
Standard fuzzy uniform structures based on continuous t-normsFecha de publicación
2012Editor
ElsevierISSN
0165-0114Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://dx.doi.org/10.1016/j.fss.2011.10.008Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011–1021]. Our approach involves a covariant functor ... [+]
This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011–1021]. Our approach involves a covariant functor Ψ from the category of fuzzy uniform spaces and fuzzy uniformly continuous mappings (in our sense) to the category of uniform spaces and uniformly continuous mappings. We show that Ψ is well-behaved with respect to some significant fuzzy uniform concepts, and its behavior provides a method to introduce notions of fine fuzzy uniform structure and Stone–Čech fuzzy compactification in this context. Our method also applies to obtain fuzzy versions of some classical results on topological algebra and hyperspaces. The case of quasi-uniform structures is also analyzed. [-]
Publicado en
Fuzzy Set and Sistems, vol. 195 (2012)Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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- MAT_Articles [751]
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