May 2025
Conference papers accepted EUSFLAT
27/05/25/13:02 Filed in: Conference paper
N. Madrid, M. Ojeda-Aciego. Studying the structure generated by subsets of ƒ-indexes of inclusion.14th Conference of the European Society for Fuzzy Logic and Technology, Riga, 2025.
Key-Work Abstract The ƒ-index of inclusion has proven to be a suitable generalization of the inclusion in the fuzzy setting. In this paper, the properties of the ƒ-index of inclusion, when its definition is restricted to a subset of indexes, are analyzed. The theoretical results obtained in this work are necessary in order to develop fuzzy inference systems based on the ƒ-index of inclusion.
M. Ojeda-Hernández, D. López Rodríguez. On direct systems of implications with graded attributes. 14th Conference of the European Society for Fuzzy Logic and Technology, Riga, 2025.
Contributed Paper Abstract In this paper the problem of defining direct systems of implications in the fuzzy setting is studied. The directness of systems allows a quick computation of the closure operator in cases such as Fuzzy Formal Concept Analysis. Characterizing these properties in algebraic terms is deeply linked to Simplification Logic. After the theoretical results, some thoughts on algorithms to provide direct systems are also considered.
Key-Work Abstract The ƒ-index of inclusion has proven to be a suitable generalization of the inclusion in the fuzzy setting. In this paper, the properties of the ƒ-index of inclusion, when its definition is restricted to a subset of indexes, are analyzed. The theoretical results obtained in this work are necessary in order to develop fuzzy inference systems based on the ƒ-index of inclusion.
M. Ojeda-Hernández, D. López Rodríguez. On direct systems of implications with graded attributes. 14th Conference of the European Society for Fuzzy Logic and Technology, Riga, 2025.
Contributed Paper Abstract In this paper the problem of defining direct systems of implications in the fuzzy setting is studied. The directness of systems allows a quick computation of the closure operator in cases such as Fuzzy Formal Concept Analysis. Characterizing these properties in algebraic terms is deeply linked to Simplification Logic. After the theoretical results, some thoughts on algorithms to provide direct systems are also considered.
ESCIM'25
26/05/25/11:21 Filed in: Conference participation
European Symposium on Computational Intelligence and Mathematics, ESCIM, Coruña, Spain, May 18-21, 2025
A well-attended conference in which our team presented two keyworks and one position paper. The titles of the talks were "Composition as a fuzzy conjunction between indexes of inclusion", "New simplification rules for databases with positive and negative attributes" and "Unfiltered Large Language Models: Forensic and Legal Challenges of their Criminal Use on the Dark Web: a preliminary study".
We had the opportunity to meet again a number of colleagues, Vilém Novák, Vladik Kreinovich, László Koczy, Francesc Esteva, Juan Moreno, and Jesús Medina among others, in order to discuss prospects of future work or continue the existing ones. In the picture, our team members and after de gala dinner with Irina Perfilieva (external member) and Vilém Novák.

