October 2023
PhD thesis
24/10/23/10:01 Filed in: PhD thesis
M. Ojeda-Hernández. Fuzzy closure structures and quasi-closed elements on fuzzy complete lattices. PhD thesis, 2023.
A very good dissertation (Summa Cum Laude) by Manuel on an important topic of our work package on Foundations.
HARMONIC'23
22/10/23/10:14 Filed in: Workshop participation
Fuzzy Formal Tools for Non Canonical Reasoning (HARMONIC), Osuna, October 19-22, 2023
Herramientas Difusas Para el Razonamiento No Canónico (HARMONIC) was the original name of the workshop, which is now turn into international.
It was held in the very nice village of Osuna (Seville).
Our group presented the findings in the three different research lines below:
* Manuel Ojeda-Aciego: Formal context-based approach to expand RDF data.
* Carlos Bejines: Aggregation Functions on Fuzzy Vector Spaces..
* Manuel Ojeda-Hernández: Quasi closed elements via closure systems.
Journal paper accepted: Fuzzy Sets and Systems
04/10/23/12:41 Filed in: Journal paper
M. Ojeda-Hernández, P. Cordero, I.P. Cabrera, E. Muñoz-Velasco. Fuzzy Closure Structures as Formal Concepts II. Fuzzy Sets and Systems.
ABSTRACT This paper is the natural extension of Fuzzy Closure Structures as Formal Concepts. In this paper we take into consideration the concept of closure system which is not dealt with in the previous one. Hence, a connection must be found between fuzzy ordered sets and a crisp ordered set. This problem is two-fold, the core of the fuzzy orders can be considered in order to complete the ensemble, or the crisp order can be fuzzified. Both ways are studied in the paper. The most interesting result is, similarly to the previous paper, that closure systems are formal concepts of these Galois connections as well.