Standard fuzzy uniform structures based on continuous t-norms
comunitat-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.2011.10.008 |
Metadata
Title
Standard fuzzy uniform structures based on continuous t-normsDate
2012Publisher
ElsevierISSN
0165-0114Type
info:eu-repo/semantics/articlePublisher version
http://dx.doi.org/10.1016/j.fss.2011.10.008Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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. [-]
Is part of
Fuzzy Set and Sistems, vol. 195 (2012)Rights
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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