6 research outputs found
The use of two relations in L-fuzzy contexts
In the analysis of relations among the elements of two sets it is usual to obtain different values depending on the point of view from which these relations are measured. The main goal of the paper is the modelization of these situations by means of a generalization of the L-fuzzy concept analysis called L-fuzzy bicontext. We study the L-fuzzy concepts of these L-fuzzy bicontexts obtaining some interesting results. Specifically, we will be able to classify the biconcepts of the L-fuzzy bicontext. Finally, a practical case is developed using this new tool.This work has been partially supported by the Research Group “Intelligent
Systems and Energy (SI+E)” of the Basque Government, under
Grant IT677-13, by the Research Groups “Artificial Intelligence and Approximate
Reasoning” and “AdquisiciĂłn de conocimiento y minerĂa de datos,
funciones especiales y métodos numéricos avanzados” of the Public University
of Navarra and by project TIN2013-40765-P
Using the Chu construction for generalizing formal concept analysis
Abstract. 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 in terms of the Chu construction