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Closure Structures as fixed points of some Galois connections.
Ojeda Hernández, Manuel; De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José (2023)The starting point of this work is a published paper where the fuzzy powerset of a fuzzy lattice A, the set of isotone mappings on A and the set of isotone total relations on A were proved to be related by three fuzzy ... -
Fuzzy closure relations
Ojeda Hernández, Manuel; Cabrera, Inma P.; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José (Elsevier, 2022-05-25)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 the framework of complete fuzzy ... -
Fuzzy closure structures as formal concepts
Ojeda Hernández, Manuel; De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José (Elsevier, 2022-12-28)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 general framework is a complete fuzzy lattice over ... -
Fuzzy Closure Structures as Formal Concepts II
Ojeda Hernández, Manuel; De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José (Elsevier, 2023-09-24)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 ... -
Fuzzy relational Galois connections between fuzzy transitive digraphs
De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José; Ojeda-Aciego, Manuel; De Baets, Bernard (Elsevier, 2022-12-28)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 algebra of truth values is a complete ...