November 2023
Conference papers accepted: FSTA
30/11/23/13:48 Filed in: Conference papers
O. Krídlo, D. López-Rodríguez, M. Ojeda-Aciego, M. Reformat. An FCA-based approach to RDF graphs. Fuzzy Sets Theory and Applications, FSTA, 2024.
ABSTRACT We investigate building a connection between RDF and FCA. The proposed approach transforms an RDF graph, where vertices represent objects of different types and edges represent relationships between these objects, into a series of bipartite graphs. It is achieved by separating edges representing specific relationships, resulting in a clear representation of the relationship of interest without clutter. To address this issue, we propose a bond-based construction of rigorous and benevolent compositions of bipartite graphs. These bipartite graphs are extracted from RDF graphs and combined—using the proposed construction—with external information related to the graphs' entities.
D. López-Rodríguez, M. Ojeda-Hernández, Á. Mora. Close-by-One strategy for computing the fuzzy concept lattice. Fuzzy Sets Theory and Applications, FSTA, 2024.
ABSTRACT We present the extension of CbO-like algorithms to a native fuzzy environment, without scaling, and combining the advantages of the different algorithms to obtain faster results with less computational load. The soundness of these algorithms is presented together with a comparison with existing strategies to show the improvement in both time, number of intents computed and number of tests performed.
Journal paper accepted: Fuzzy Sets and Systems
02/11/23/10:36 Filed in: Journal paper
M. Ojeda-Aciego, N. Madrid. Approaching the square of opposition in terms of the f-indexes of inclusion and contradiction. Fuzzy Sets and Systems.
ABSTRACT We continue our research line on the analysis of the properties of the f-indexes of inclusion and contradiction; in this paper, specifically, we show that both notions can be related by means of the, conveniently reformulated, Aristotelian square of opposition. We firstly show that the extreme cases of the f-indexes of inclusion and contradiction coincide with the vertexes of the Aristotelian square of opposition in the crisp case; then, we allocate the rest of f-indexes in the diagonals of the extreme cases and we prove that the Contradiction, Contrariety, Subcontrariety, Subalternation and Superalternation relations also hold between the f-indexes of inclusion and contradiction.