Fuzzy uniform structures and continuous t-norms
Impacto
Scholar |
Otros documentos de la autoría: Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.fss.2009.09.021 |
Metadatos
Título
Fuzzy uniform structures and continuous t-normsFecha de publicación
2010Editor
ElsevierISSN
1650114Cita bibliográfica
Fuzzy Sets and Systems, 161, 7, p. 1011-1021Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy ... [+]
We introduce and discuss a notion of fuzzy uniform structure that provides a direct link with the classical theory of uniform spaces. More exactly, for each continuous t-norm we prove that the category of all fuzzy uniform spaces in our sense (and fuzzy uniformly continuous mappings) is isomorphic to the category of uniform spaces (and uniformly continuous mappings) by means of a covariant functor. Moreover, we also describe the inverse functor and, then, we discuss completeness and completion of these fuzzy uniform structures. It follows from our results that each fuzzy uniform structure in our sense induces a Hutton [0, 1]-uniformity and, conversely, each Hutton [0, 1]-uniformity induces a fuzzy uniform structure in our sense. © 2009 Elsevier B.V. All rights reserved. [-]
Derechos de acceso
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