Publication
Title
Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures
Author
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.
Language
English
Source (journal)
Fuzzy sets and systems: an international journal of soft computing and intelligent. - Amsterdam
Publication
Amsterdam : 1999
ISSN
0165-0114
Volume/pages
104:3(1999), p. 423-433
ISI
000079910500009
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
[E?say:metaLocaldata.cgzprojectinf]
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 29.02.2012
Last edited 20.10.2017
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