Graph theory is afundamental branch of mathematicsthat studiesnetworksconsisting of
nodes (vertices) and their connections (edges). Extensive research has been conducted on …

Galois connections seem to be ubiquitous in mathematics. They have been used to model
solutions for both pure and application-oriented problems. Throughout the paper, the …

The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy
properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion …

We present a fuzzy version of the notion of relational Galois connection between fuzzy
transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying …

The concept of closure operator is key in several branches of mathematics. In this paper,
closure operators are extended to relational structures, more specifically to fuzzy relations in …

Fuzzy logic has shown to be a suitable framework to handle contradictions in which,
unsurprisingly, the notion of inconsistency can be defined in different ways. This paper starts …

An extension of the notion of closure system is studied adapting the idea of meet-
subsemilattice to a complete fuzzy lattice. Results relating closure operators and closure …

Closure systems play a major role in both pure and applied mathematics. This
paperpresents an extension of the notion of closure system, which is done adapting theidea …

We continue the study of different generalizations of the notion of Galois connection.
Previously, we had focused on the cases in which both the domain and codomain had the …

Closure is a key concept in several branches of mathematics. This work presents a definition
of fuzzy closure relation and relational closure system on fuzzy transitive digraphs. The core …