Closure spaces of isotone galois connections and their morphisms

Authors:
Radim Belohlavek;Jan Konecny
Affiliations:
Palacky University, Olomouc, Czech Republic;Palacky University, Olomouc, Czech Republic
Venue:
AI'11 Proceedings of the 24th international conference on Advances in Artificial Intelligence
Year:
2011

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Abstract

We present results on closure spaces induced by isotone fuzzy Galois connections. Such spaces play a fundamental role in the analysis of relational data such as formal concept analysis or relational factor analysis. We provide a characterization of such closure spaces and study their morphisms. The results contribute to foundations of a matrix calculus over relational data.