Title
Regularity In Fuzzy Convergence Spaces
Keywords
Category theory; Topology
Abstract
The notions of regularity and weak regularity are introduced in the category of fuzzy convergence spaces, and each is shown to be an extension of regularity with respect to the embedding functor from the category of convergence spaces. Moreover, the category whose objects are weakly regular fuzzy spaces is topological and thus initial and final regular structures exist. The relationship between regularity and a diagonal condition is given. © 2002 Elsevier Science B.V. All rights reserved.
Publication Date
5-1-2002
Publication Title
Fuzzy Sets and Systems
Volume
127
Issue
3
Number of Pages
281-289
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/S0165-0114(01)00113-0
Copyright Status
Unknown
Socpus ID
0036568416 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0036568416
STARS Citation
Minkler, J.; Minkler, G.; and Richardson, G., "Regularity In Fuzzy Convergence Spaces" (2002). Scopus Export 2000s. 2574.
https://stars.library.ucf.edu/scopus2000/2574