The Category of L-Chu Correspondences and the Structure of L-Bonds

Authors:
Ondrej Krídlo;Stanislav Krajči;Manuel Ojeda-Aciego
Affiliations:
Department of Computer Science, University P.J. Šafárik, Košice, Slovakia, o.kridlo@gmail.com;Department of Computer Science, University. P.J. Šafárik, Košice, Slovakia, stanislav.krajci@upjs.sk;(Correspd.) Department Matemática Aplicada, University Málaga, Spain, aciego@uma.es
Venue:
Fundamenta Informaticae - Concept Lattices and Their Applications
Year:
2012

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Abstract

An L-fuzzy generalization of the so-called Chu correspondences between formal contexts forms a category called L-ChuCors. In this work, we show that this category naturally embeds ChuCors and prove that it is *ast;-autonomous. We also focus on the direct product of two L-fuzzy contexts, which is defined with the help of a binary operation, essentially a disjunction, on a lattice of truth-values L.