Clustering and identification of core implications

Formal concept analysis
Fuzzy logic
Authors

Domingo López-Rodríguez, P. Cordero, M. Enciso, A. Mora

Published

1 July 2021

Publication details

International Conference on Formal Concept Analysis (ICFCA) 2021

Links

 



Abstract

FCA exhaustively uses the notion of cluster by grouping attributes and objects and providing a solid algebraic structure to them through the concept lattice. Our proposal explores how we can cluster implications. This work opens a research line to study the knowledge inside the clusters computed from the Duquenne-Guigues basis. Some alternative measures to induce the clusters are analysed, taking into account the information that directly appears in the appearance and the semantics of the implications. This work also allows us to show the fcaR package, which has the main methods of FCA and the Simplification Logic. The paper ends with a motivation of the potential applications of performing clustering on the implications.

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Citation

Please, cite this work as:

[Lóp+21] D. López-Rodríguez, P. Cordero, M. Enciso, et al. “Clustering and Identification of Core Implications”. In: Formal Concept Analysis - 16th International Conference, ICFCA 2021, Strasbourg, France, June 29 - July 2, 2021, Proceedings. Ed. by A. Braud, A. Buzmakov, T. Hanika and F. L. Ber. Vol. 12733. Lecture Notes in Computer Science. Springer, 2021, pp. 138-154. DOI: 10.1007/978-3-030-77867-5_9. URL: https://doi.org/10.1007/978-3-030-77867-5_9.

@inproceedings{Lopez-Rodriguez21,
     author = {Domingo López{-}Rodríguez and
     Pablo Cordero and
     Manuel Enciso and
     Angel Mora},
     editor = {Agnès Braud and
     Aleksey Buzmakov and
     Tom Hanika and
     Florence Le Ber},
     title = {Clustering and Identification of Core Implications},
     booktitle = {Formal Concept Analysis - 16th International Conference, {ICFCA} 2021,
     Strasbourg, France, June 29 - July 2, 2021, Proceedings},
     series = {Lecture Notes in Computer Science},
     volume = {12733},
     pages = {138–154},
     publisher = {Springer},
     year = {2021},
     url = {https://doi.org/10.1007/978-3-030-77867-5_9},
     doi = {10.1007/978-3-030-77867-5_9},
     timestamp = {Tue, 13 Jul 2021 13:28:00 +0200},
     biburl = {https://dblp.org/rec/conf/icfca/Lopez-Rodriguez21.bib},
     bibsource = {dblp computer science bibliography, https://dblp.org}
}