Fuzzy division in fuzzy relational databases: an approach

Citation
J. Galindo et al., Fuzzy division in fuzzy relational databases: an approach, FUZ SET SYS, 121(3), 2001, pp. 471-490
Citations number
23
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
121
Issue
3
Year of publication
2001
Pages
471 - 490
Database
ISI
SICI code
0165-0114(20010801)121:3<471:FDIFRD>2.0.ZU;2-D
Abstract
An approach to calculate the relational division in fuzzy databases is pres ented, starting with the GEFRED model. The tuples of the division are obtai ned with a possibility degree that indicates the extent to which they compl y with the relational division requisites. The results obtained are those e xpected a priori. Furthermore, in order to formalize this method of fuzzy r elational division, two new operators are defined which may be useful in ot her operations: the qualified fuzzy intersection and the generalized fuzzy projection with group functions. Some examples are included in order to cla rify the method proposed here and the defined operators. A comparison with other fuzzy division approaches that appear in the literature is included t oo. (C) 2001 Elsevier Science B.V. All rights reserved.