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.
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.