Title
Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Computer. Automation
Source (journal)
Fuzzy sets and systems: an international journal of soft computing and intelligent. - Amsterdam
Volume/pages
104(1999) :3 , p. 423-433
ISSN
0165-0114
ISI
000079910500009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Smooth fuzzy topologies are an extension of both crisp topologies and fuzzy topologies, in the sense that not only the objects are fuzzified, but also the axiomatics. In [9], Ramadan gave a description of a subspace of a smooth fuzzy topology. Although we do not doubt the results, with all due respect, some of the proofs involve interchangements of suprema and infima that are generally not allowed. We would like to give a corrected proof, and also study initial structures in the category of smooth fuzzy topological spaces in general. The main result will be that the subspaces as described below are indeed the categorically correct ones, i.e. in initial structures with respect to the canonical injection. (C) 1999 Elsevier Science B.V. All rights reserved.
E-info
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