Title
Regularity in fuzzy convergence spaces
Abbreviated Journal Title
Fuzzy Sets Syst.
Keywords
topology; category theory; TOPOLOGICAL-SPACES; COMPACTNESS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability
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. (C) 2002 Elsevier Science B.V. All rights reserved.
Journal Title
Fuzzy Sets and Systems
Volume
127
Issue/Number
3
Publication Date
1-1-2002
Document Type
Article
Language
English
First Page
281
Last Page
289
WOS Identifier
ISSN
0165-0114
Recommended Citation
"Regularity in fuzzy convergence spaces" (2002). Faculty Bibliography 2000s. 3367.
https://stars.library.ucf.edu/facultybib2000/3367
Comments
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