Vicisitudes de un señorío de frontera. Espejo (1304-1382)

Espejo, situada en la Campiña de Córdoba, en la cercanía de la frontera con el reino musulmán de Granada, se convirtió en señorío en el reinado de Fernando IV, que la entregó a Pay Arias de Castro, un miembro de la nobleza bien relacionado con la familia real. El presente trabajo estudia la evolución que experimentó Espejo en los años centrales del siglo XIV en los que pasó por distintas vicisitudes que, como la Peste Negra o la guerra civil en Castilla, dieron lugar a varios cambios en la titularidad del señorío hasta que terminó perteneciendo a una de las principales ramas de la familia Fernández de Córdoba.Espejo, situated to the south of Córdoba, close to the border of the Muslim Kingdom of Granada, became a lordship during the reign of Fernando IV. This lordship was bestowed on Pay Arias de Castro, a nobleman who was well connected with the royal family. The present paper studies the evolution of the town of Espejo during the central years of the 14th century, when it suffered disasters like the Plague and the civil war in Castile. As a result of these adversities, the lordship changed ownership several times and eventually came into the hands of one of the main branches of the Fernández de Córdoba family

En torno a la fundación del monasterio de Sacramenia.

Sin resume

Fuzzy closure relations

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 lattices. The core of the work is the search for a suitable definition of (strong) fuzzy closure relation, that is, a fuzzy relation whose relation with fuzzy closure systems is one-to-one. The study of the properties of fuzzy closure systems and fuzzy relations helps narrow down this exploration until an appropriate definition is settled.This research is partially supported by the State Agency of Research (AEI), the Spanish Ministry of Science, Innovation and Universities (MCIU), the European Social Fund (FEDER), the Junta de Andalucía (JA), and the Universidad de Málaga (UMA) through the FPU19/01467 (MCIU) internship and the research projects with reference PGC2018-095869-B-I00, TIN2017-89023-P (MCIU/AEI/FEDER, UE) and UMA2018-FEDERJA-001 (JA/UMA/FEDER, UE). Funding for open access charge: Universidad de Málaga

Una mesta local en tierras de señorío: el ejemplo de Belalcázar e Hinojosa.

Sin resume

Closure Structures as fixed points of some Galois connections.

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 Galois connections such that fuzzy closure systems, fuzzy closure operators and the so called strong fuzzy closure relations are fixed points. The final part of that paper studied the commutativity of the diagrams formed by these mappings.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tec

Fuzzy closure structures as formal concepts

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 a complete residuated lattice. The existence of three fuzzy Galois connections (two antitone and one isotone) between three specific ordered sets is proved in this paper. The most interesting part is that fuzzy closure systems, fuzzy closure operators and strong fuzzy closure relations are formal concepts of these fuzzy Galois connections.This research is partially supported by the State Agency of Research (AEI), the Spanish Ministry of Science, Innovation and Universities (MCIU), the European Social Fund (FEDER), the Junta de Andalucía (JA), and the Universidad de Málaga (UMA) through the FPU19/01467 (MCIU) internship and the research projects with reference PGC2018-095869-B-I00, TIN2017-89023-P, PID2021-127870OB-I00 (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE). Funding for open access charge: Universidad de Málaga / CBU

Fuzzy Closure Structures as Formal Concepts II

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.Funding for open access charge: Universidad de Málaga / CBUA This research is partially supported by the State Agency of Research (AEI), the Spanish Ministry of Science, Innovation, and Universities (MCIU), the European Social Fund (FEDER), the Junta de Andalucía (JA), and the Universidad de Málaga (UMA) through the FPU19/01467 (MCIU) internship, the project VALID (PID2022-140630NB-I00 funded by MCIN/ AEI/10.13039/501100011033) and the research projects with reference PGC2018-095869-B-I00, PID2021-127870OB-I00, (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE)

Fuzzy relational Galois connections between fuzzy transitive digraphs

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 Heyting algebra. The components of such fuzzy Galois connection are fuzzy relations satisfying certain reasonable properties expressed in terms of the so-called full powering. Moreover, we provide a necessary and sufficient condition under which it is possible to construct a right adjoint for a given fuzzy relation between a fuzzy T-digraph and an unstructured set.This research is partially supported by the State Agency of Research (AEI), the Spanish Ministry of Science, Innovation and Universities (MCIU), the European Social Fund (FEDER), the Junta de Andalucía (JA), and the Universidad de Málaga (UMA) through the research projects with reference PGC2018-095869-B-I00, PID2021-127870OB-I00, (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE). B. De Baets was supported by the Flemish Government under the “Onderzoeksprogramma Artificiële Intelligentie (AI) Vlaanderen” programme. Funding for open access charge: Universidad de Málaga / CBU

Expanding the Clinical and Molecular Heterogeneity of Nonsyndromic Inherited Retinal Dystrophies

A cohort of 172 patients diagnosed clinically with nonsyndromic retinal dystrophies, from 110 families underwent full ophthalmologic examination, including retinal imaging, electrophysiology, and optical coherence tomography, when feasible. Molecular analysis was performed using targeted next-generation sequencing (NGS). Variants were filtered and prioritized according to the minimum allele frequency, and finally classified according to the American College of Medical Genetics and Genomics guidelines. Multiplex ligation-dependent probe amplification and array comparative genomic hybridization were performed to validate copy number variations identified by NGS. The diagnostic yield of this study was 62% of studied families. Thirty novel mutations were identified. The study found phenotypic intra- and interfamilial variability in families with mutations in C1QTNF5, CERKL, and PROM1; biallelic mutations in PDE6B in a unilateral retinitis pigmentosa patient; interocular asymmetry RP in 50% of the symptomatic RPGR-mutated females; the first case with possible digenism between CNGA1 and CNGB1; and a ROM1 duplication in two unrelated retinitis pigmentosa families. Ten unrelated cases were reclassified. This study highlights the clinical utility of targeted NGS for nonsyndromic inherited retinal dystrophy cases and the importance of full ophthalmologic examination, which allows new genotypeephenotype associations and expands the knowledge of this group of disorders. Identifying the cause of disease is essential to improve patient management, provide accurate genetic counseling, and take advantage of gene therapyebased treatments. (J Mol Diagn 2020, 22: 532e543; https:// doi.org/10.1016/j.jmoldx.2020.01.003)Supported by grants from the Instituto de Salud Carlos III (ISCIII) of the Spanish Ministry of Health, including the Center for Biomedical Research Network on Rare Diseases (CIBERER), Fondo de Investigacion Sanitaria grant PI16/00539; the Spanish National Organization for the Blind (Fundación ONCE); and Fundación Mutua Madrileña. G.G.-G. is sponsored by the CIBERER, and A.R.-M. is supported by the Río Hortega program from ISCIII.Medicin