|
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
|
|
|
DOI
|
|
|
|
10.1016/S0165-0114(98)00318-2
|
|
|
Volume/pages
|
|
|
|
104
:3
(1999)
, p. 423-433
|
|
|
ISI
|
|
|
|
000079910500009
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|