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Towards the algebraization of Formal Concept Analysis over complete dioids

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2014
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Abstract
Complete dioids are already complete residuated lattices. Formal contexts with entries in them generate Concept Lattices with the help of the polar maps. Previous work has already established the spectral nature of some formal concepts for contexts over certain kinds of dioids. This paper tries to raise the awareness that linear algebra over exotic semirings should be one place to look to understand the properties of FCA over L-lattices.
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Actas de: XVII Congreso Español sobre Tecnologías y Lógica Fuzzy (ESTYLF 2014). Zaragoza, 5-7 de febrero de 2014.
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Semiring theory, Spectral theory of matrices, FCA: Semiring-valued extensions, Philosophical foundations
Bibliographic citation
Bobillo, F., et al. (eds.) (2014). ESTYLF 2014: XVII Congreso Español sobre Tecnologías y Lógica Fuzzy: Libro de actas. (pp. 93-98).