Listar por autor "Muñoz-Velasco, Emilio José"
Mostrando ítems 1-11 de 11
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A flexible logic-based approach to closeness using order of magnitude qualitative reasoning.
Burrieza-Muñiz, Alfredo
; Muñoz-Velasco, Emilio José; Ojeda-Aciego, Manuel (Oxford Academic, 2020)
In this paper, we focus on a logical approach to the important notion of closeness, which has not received much attention in the literature. Our notion of closeness is based on the so-called proximity intervals, which will ... -
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 closure systems: Motivation, definition and properties
Ojeda Hernández, Manuel; De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José (Elsevier, 2022-09)
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 on the different alternatives that ... -
Fuzzy Halpern and Shoham's interval temporal logics
Conradie, Willem; Della Monica, Dario; Muñoz-Velasco, Emilio José; Sciavicco, Guido; Stan, Ionel Eduard (Elsevier, 2023)
The most representative interval temporal logic, called HS, was introduced by Halpern and Shoham in the nineties. Recently, HS has been proposed as a suitable formalism for modern artificial intelligence applications; ... -
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 ... -
On Coarser Interval Temporal Logics
Muñoz-Velasco, Emilio José; Pelegrín, Mercedes; Sala, Pletro; Sciavicco, Guido; Stan, Ionel Eduard (Elsevier, 2019)
The primary characteristic of interval temporal logic is that intervals, rather than points, are taken as the primitive ontological entities. Given their generally bad computational behavior of interval temporal logics, ... -
Relational Galois connections between transitive digraphs: Characterization and construction.
De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José; Ojeda-Aciego, Manuel; De Baets, Bernard (Elsevier, 2020)
This paper focuses on a twofold relational generalization of the notion of Galois connection. It is twofold because it is defined between sets endowed with arbitrary transitive relations and, moreover, both components of ... -
Relational Galois connections between transitive fuzzy digraphs.
De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio José; Ojeda-Aciego, Manuel; De Baets, Bernard (Wiley, 2020)
Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical ...