Based on these operators, two types of generalized three-way concept lattices are constructed. The generalized three-way concept lattices provide a more general model than Wille's concept lattices and Qi-Wei-Yao's three-way concept lattices....
the RD-Tree, to better support both specific use with Formal Concept Analysis as well as generic multidimensional applications. Our experiments are motivated by the application of Formal Concept Analysis to a virtual
We build a GNaP-preference D on a set X of size 3, which is the tensor product of three NaP-preferences on X, but cannot be obtained as the tensor product of two NaP-preferences on X. Set X≔{x,y,z}, H≔{1,2,3}, and K≔{1,2}. Let ⩾hk be the six linear orders...
Since concept lattices are ordered sets, they can be naturally displayed in terms of Hasse diagrams [35]. An example of a concept lattice, displayed in terms of a Hasse diagram, and its related formal context, can be seen in Fig. 3.1 Hasse diagrams have to follow a set of rules: Fig....
Maille, Generalized Formal Concept Analysis, in Proc. 8th Int. Conf. on Conceptual Structures, ICCS’2000 , G. Mineau and B. Ganter, Eds., Lecture Notes in Artificial Intelligence, 1867 , 2000, pp. 357–370.Chaudron, L., Maille, N.: Generalized formal concept analysis. In: International...
Chu constructionWe continue studying the connections between the Chu construction on the category ChuCors of formal contexts and Chu correspondences, and generalizations of Formal Concept Analysis (FCA). All the required constructions like categorical product, tensor product, together with its bifunctor ...
Hybrid Artificial Intelligent Systems: 5th International Conference, HASI 2010, San Sebastian, Spain, June 23-25, 2010, Proceedings, p.IIPelaez-Moreno, C., Valverde-Albacete, F.J.: Detecting features from confusion matrices using generalized formal concept analysis. In: Hybrid Artificial ...
CONCEPT LATTICESATTRIBUTE REDUCTIONSIZEUsually, datasets contain imprecise data (noise), which can produce unspected results on the considered mappings. For instance, this can happen with the infimum and supremum operators, since both operators are straightforwardly associated with the universal and ...
If the doubling of intervals starts from the two- element lattice, then the lattices become semi-distributive.doi:10.1007/BF01235175W. GeyerBirkhäuser-VerlagAlgebra UniversalisW. Geyer, The generalized doubling construction and formal concept analysis, Algebra Universalis 32 (1994), 341-367....
In this paper, in order to realize a representation of continuous domains, the notions of relationally consistent F-augmented contexts and relationally approximable concepts are introduced, which provides a generalized framework of formal concept analysis. We also introduce the notion of F-approxim...