Proceedings of the 9th Joint International Conference on Information Sciences (JCIS-06)

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Axiomatization of fuzzy attribute logic over complete residuated lattices

Authors
Radim Belohlavek1, Vilem Vychodil
1Palacky University
Corresponding Author
Radim Belohlavek
Available Online October 2006.
DOI
10.2991/jcis.2006.281How to use a DOI?
Keywords
completeness, residuated lattice, fuzzy logic, fuzzy attribute, graded completeness, if-then rule
Abstract

The paper deals with fuzzy attribute logic (FAL) and shows its completeness over all complete residuated lattices. FAL is a calculus for reasoning with if-then rules describing particular attribute dependencies in object-attribute data. Completeness is proved in two versions: classical-style completeness and graded-style completeness.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 9th Joint International Conference on Information Sciences (JCIS-06)
Series
Advances in Intelligent Systems Research
Publication Date
October 2006
ISBN
978-90-78677-01-7
ISSN
1951-6851
DOI
10.2991/jcis.2006.281How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Radim Belohlavek
AU  - Vilem Vychodil
PY  - 2006/10
DA  - 2006/10
TI  - Axiomatization of fuzzy attribute logic over complete residuated lattices
BT  - Proceedings of the 9th Joint International Conference on Information Sciences (JCIS-06)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/jcis.2006.281
DO  - 10.2991/jcis.2006.281
ID  - Belohlavek2006/10
ER  -