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Functorial Properties of Formal Concept Analysis

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4604))

Abstract

The concept of Chu correspondences between formal contexts is introduced. The construction of formal concepts induces a functor \(\mathfrak{B}\) from the category of Chu correspondences ChuCors to the category \(\mathcal{S}lat\) of sup-preserving maps between complete lattices. It turns out that the category ChuCors has a *-autonomous category structure and the functor \(\mathfrak{B}\) is shown to preserve the *-autonomous category structure. Details are given in [4].

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References

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Uta Priss Simon Polovina Richard Hill

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© 2007 Springer-Verlag Berlin Heidelberg

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Mori, H. (2007). Functorial Properties of Formal Concept Analysis. In: Priss, U., Polovina, S., Hill, R. (eds) Conceptual Structures: Knowledge Architectures for Smart Applications. ICCS 2007. Lecture Notes in Computer Science(), vol 4604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73681-3_45

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  • DOI: https://doi.org/10.1007/978-3-540-73681-3_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73680-6

  • Online ISBN: 978-3-540-73681-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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