Standard fuzzy uniform structures based on continuous t-norms
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONAquest recurs és restringit
http://dx.doi.org/10.1016/j.fss.2011.10.008 |
Metadades
Títol
Standard fuzzy uniform structures based on continuous t-normsData de publicació
2012Editor
ElsevierISSN
0165-0114Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://dx.doi.org/10.1016/j.fss.2011.10.008Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Fuzzy Set and Sistems, vol. 195 (2012)Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
Apareix a les col.leccions
- MAT_Articles [770]
Elements relacionats
Mostrant elements relacionats per títol, autoria, creador i matèria.
-
Fuzzy uniform structures and continuous t-norms
Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel Elsevier (2010)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 ... -
Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity
Rodriguez-Lopez, J.; Romaguera, S.; Sanchis López, Manuel University of Sistan and Baluchestan (2019)In [25], Katsaras introduced a method for constructing a Hutton [0,1]-quasi-uniformity from a crisp uniformity. In thispaper we present other different methods for making this based mainly in the concept of a fuzzy uniform ... -
Fuzzy sets on uniform spaces
Jardón, Daniel; Sánchez, Iván; Sanchis, Manuel University of Sistan and Baluchestan (2023-12-15)