The goal of this paper is to show a connection between FCA generalisations and the Chu construction on the category ChuCors, the category of formal contexts and Chu correspondences. All needed categorical properties like categorical product, tensor product and its bifunctor properties are presented and proved. Finally, the second order generalisation of FCA is represented by a category built up...

1Department of Pediatrics, McGill University Health Centre, Montreal, QC, Canada 2Department of Economics, Université Laval, Québec, QC, Canada 3Department of Pediatrics, CHU de Québec and Université Laval, Québec, QC, Canada *Corresponding author Bruno Piedboeuf, MD Centre de recherche du CHU de Québec Université Laval Centre Mère Enfant du CHU de Québec, 2705 Boulevard Laurier Québec, QC, Can...

1 INSERM U-987, Boulogne-Billancourt F-92100 France; CHU Ambroise Paré, GH Paris Ile de France Ouest, APHP, Boulogne-Billancourt, F-92100 France 2 Université Versailles-Saint-Quentin, Versailles F-78035, France 3 Service d’anesthésie-réanimation chirurgicale, CHU Raymond Poincaré, GH Paris Ile de France Ouest, Garches, France 4 Service de chirurgie générale, Hôpital René Huguenin-Institut Curie...

We continue our study of the general notion of L-Chu correspondence by introducing the category CRL-ChuCors incorporating residuation to the underlying complete lattice L, specifically, on the basis of a residuation-preserving isotone Galois connection λ. Then, the L-bonds are generalized within this same framework, and its structure is related to that of the extent of a suitably defined λ-dire...

We propose to use Chu categories as a general framework for uncertainty analysis, with a special attention to fuzzy theory. We emphasize the fact that by viewing fuzzy concepts as Chu spaces, we can discover new aggregation operators, and model interactions and relationship between fuzzy data; these possibilities are due, in essence, to the category structure of Chu spaces, and especially to th...

Laboratoire de Biologie et Santé, Unité de recherche Associée au CNRST-URAC 34, Faculté des Sciences Ben M'Sik, Université Hassan II Mohammedia, Casablanca, Maroc, Laboratoire d'Immunologie Clinique, Inflammation et Allergie, Faculté de Médecine et Pharmacie, Université Hassan II, Casablanca, Maroc, Département de Pédiatrie 1, Hôpital d'Enfants de Rabat, CHU Ibn Sina, Rabat, Maroc, Département ...

Pierre Toulon1; Micheline Berruyer2; Marie Brionne-François3; François Grand4; Dominique Lasne5; Caroline Telion6; Julien Arcizet2; Roberta Giacomello7; Neila De Pooter8 1Université Nice Sofia-Antipolis, CHU Pasteur, Service d’Hématologie Biologique, Nice, France; 2Laboratoire d’Hématologie, GH Est, Bron, France; 3Laboratoire d’Hématologie, CHU Côte de Nacre, Caen, France; 4Laboratoire d’Hémato...