Abstract
Formal Context Analysis is a mathematical theory that enables us to find concepts from a given set of objects, a set of attributes and a relation on them. There is a hierarchy of such concepts, from which a complete lattice can be made. In this paper we present a generalization of these ideas using fuzzy subsets and fuzzy implications defined from lower semicontinuous t-norms which, under suitable conditions, also results in a complete lattice.
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Notes
- 1.
“une connaissance générale qui [...] représente une catégorie d’objets, d’événements ou de situations.” See https://www.researchgate.net/profile/Benoit_Hardy-Vallee/publication/228799196.
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Acknowledgement
This research was financially supported by CAPES (Brazil) and by processes 306546/2017-5 and 308524/2014-4 from CNPq (Brazil).
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Brito, A., Barros, L., Laureano, E., Bertato, F., Coniglio, M. (2018). Fuzzy Formal Concept Analysis. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_17
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DOI: https://doi.org/10.1007/978-3-319-95312-0_17
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