Transitive fuzzy dependencies (II)

Citation
Jc. Cubero et al., Transitive fuzzy dependencies (II), FUZ SET SYS, 106(3), 1999, pp. 433-448
Citations number
4
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
106
Issue
3
Year of publication
1999
Pages
433 - 448
Database
ISI
SICI code
0165-0114(19990916)106:3<433:TFD(>2.0.ZU;2-#
Abstract
In the previous work we accomplished the problem of defining fuzzy dependen cy as well as projection and join operators which allow us to decompose a d atabase in such a way that this process is fuzzy loss less. The definition of rules-based fuzzy dependency did not satisfy the transitivity axiom, whi ch is crucial to obtaining the completeness of the counterpart of Armstrong axioms for fuzzy dependencies. In this paper we introduce an alternative d efinition of dependency called restricted dependency, satisfying the transi tivity property of inference. All the results obtained with the first defin ition of dependency are also extended to this case. The price to pay for tr ansitivity is a more restricted definition of fuzzy dependency. (C) 1999 El sevier Science B.V. All rights reserved.