Specification and inference of fuzzy attributes
Abstract
In this work, an extension of the database relational model which incorporates vague or imprecise data is presented. Specifically, we extend the concept of functional dependency to Fuzzy Attributes Tables. This extension is based on the use of a residuated lattice as a truthfulness value set. For this goal, the domains are enriched with fuzzy similarity relations, the atomic values of the tables become fuzzy, and the functional dependencies are also fuzzy and based on the similarity relations. Moreover, we introduce a sound and complete axiomatic system to manipulate these dependencies, named Simplification Logic for fuzzy functional dependencies.
Citation
Please, cite this work as:
[Cor+11] P. Cordero, M. Enciso, Á. Mora, et al. “Specification and inference of fuzzy attributes”. In: Proceedings of the IEEE Symposium on Foundations of Computational Intelligence, FOCI 2011, part of the IEEE Symposium Series on Computational Intelligence 2011, Paris, France, 11-15 April 2011. IEEE, 2011, pp. 107-114. DOI: 10.1109/FOCI.2011.5949472. URL: https://doi.org/10.1109/FOCI.2011.5949472.
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Papers citing this work
The following is a non-exhaustive list of papers that cite this work:
[1] R. Belohlavek and V. Vychodil. “Relational algebra for multi-ranked similarity-based databases”. In: 2013 IEEE Symposium on Foundations of Computational Intelligence (FOCI). IEEE, Apr. 2013, p. 1–8. DOI: 10.1109/foci.2013.6602448. URL: http://dx.doi.org/10.1109/foci.2013.6602448.
[2] L. Ježková, P. Cordero, and M. Enciso. “Fuzzy functional dependencies: A comparative survey”. In: Fuzzy Sets and Systems 317 (Jun. 2017), p. 88–120. ISSN: 0165-0114. DOI: 10.1016/j.fss.2016.06.019. URL: http://dx.doi.org/10.1016/j.fss.2016.06.019.
[3] J. M. Rodríguez-Jiménez, P. Cordero, M. Enciso, et al. “Automated Inference with Fuzzy Functional Dependencies over Graded Data”. In: Advances in Computational Intelligence. Springer Berlin Heidelberg, 2013, p. 254–265. ISBN: 9783642386824. DOI: 10.1007/978-3-642-38682-4_29. URL: http://dx.doi.org/10.1007/978-3-642-38682-4_29.
[4] J. Rodriguez-Jimenez, E. Rodriguez-Lorenzo, P. Cordero, et al. “A Normal Form for Fuzzy Functional Dependencies”. In: 2015 IEEE Symposium Series on Computational Intelligence. IEEE, Dec. 2015, p. 984–989. DOI: 10.1109/ssci.2015.143. URL: http://dx.doi.org/10.1109/ssci.2015.143.
