Generalization of One-Sided Concept Lattices
Peter Butka; Technical University of Košice, Faculty of Electrical Engineering and Informatics, Košice ; Jpzef Pócs; Mathematical Institute, Slovak Academy of Sciences,Košice
Computing and Informatics, Tome 31 (2013) no. 6, / Harvested from Computing and Informatics
Text on Computing and Informatics
We provide a generalization of one-sided (crisp-fuzzy) concept lattices, based on Galois connections. Our approach allows analysis of object-attribute models with different structures for truth values of attributes. Moreover, we prove that this method of creating one-sided concept lattices is the most general one, i.e., with respect to the set of admissible formal contexts, it produces all Galois connections between power sets and the products of complete lattices. Some possible applications of this approach are also included.
Publié le : 2013-05-23
Classification:  One-sided concept lattices, Galois connection, closure operator, concept data analysis,  06A15, 06B99, 68T30 
@article{cai1625,
     author = {Peter Butka; Technical University of Ko\v sice, Faculty of Electrical Engineering and Informatics, Ko\v sice and Jpzef P\'ocs; Mathematical Institute, Slovak Academy of Sciences,Ko\v sice},
     title = {Generalization of One-Sided Concept Lattices},
     journal = {Computing and Informatics},
     volume = {31},
     number = {6},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/cai1625}
}

Peter Butka; Technical University of Košice, Faculty of Electrical Engineering and Informatics, Košice; Jpzef Pócs; Mathematical Institute, Slovak Academy of Sciences,Košice. Generalization of One-Sided Concept Lattices. Computing and Informatics, Tome 31 (2013) no. 6, . http://gdmltest.u-ga.fr/item/cai1625/