Listar por autor "Cordero-Ortega, Pablo"
Mostrando ítems 1-19 de 19
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A generalized framework to consider positive and negative attributes in formal concept analysis
Rodríguez Jiménez, Jose Manuel; Cordero-Ortega, Pablo
; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel (2014-10-23)
In Formal Concept Analysis the classical formal context is analized taking into account only the positive information, i.e. the presence of a property in an object. Nevertheless, the no presence of a property in an object ... -
A logic-based approach to compute a direct basis from implications
Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel; Ojeda-Aciego, Manuel; Rodríguez-Lorenzo, Estrella (2014-09-19)
Formal Concept Analysis is an emergent area in the topic of data analysis based on lattice theory. In this framework, a context is defined as the relation between a set of objects and a set of attributes and from here it ... -
CAISL: Simplification Logic for Conditional Attribute Implications
Mora-Bonilla, Angel; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Rodríguez-Lorenzo, Estrella; Missaoui, Nokia (2016-07-25)
In this work, we present a sound and complete axiomatic system for conditional attribute implications (CAIs) in Triadic Concept Analysis (TCA). Our approach is strongly based on the Simplification paradigm which offers a ... -
Extending FuzAtAnalyzer to approach the management of classical negation
Rodríguez-Jiménez, J.M.; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel (2015-09-16)
FuzAtAnalyzer was conceived as a Java framework which goes beyond of classical tools in formal concept analysis. Specifically, it successfully incorporated the management of uncertainty by means of methods and tools from ... -
Extracción de conocimiento usando atributos negativos en el Análisis de Conceptos Formales. Aplicaciones en la Ingeniería.
(UMA Editorial, 2017-06-19)El objetivo principal de esta tesis es desarrollar un marco general que permita, de una forma uniforme y eficiente, extraer, tratar y representar conocimiento a partir de información positiva y negativa de un conjunto de ... -
From an implicational system to its corresponding D-basis
Rodríguez-Lorenzo, Estrella; Adaricheva, Kira; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel (2015-10-30)
Closure system is a fundamental concept appearing in several areas such as databases, formal concept analysis, artificial intelligence, etc. It is well-known that there exists a connection between a closure operator on a ... -
Fuzzy Adjunctions revisited
Cabrera, Inma P.; Cordero-Ortega, Pablo; De Baets, Bernard; García-Pardo, Francisca; Ojeda-Aciego, Manuel (2016-05-30)
En este trabajo se intenta obtener la noción de adjunción más débil entre estructuras difusas. Este trabajo continúa la línea de investigación en el estudio y construcción d adjunciones que han realizado los autores en ... -
Fuzzy closure relations
Ojeda Hernández, Manuel; Cabrera, Inma P.; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio Jose (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 Jose (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 relational Galois connections between fuzzy transitive digraphs
De-las-Peñas-Cabrera, Inmaculada; Cordero-Ortega, Pablo; Muñoz-Velasco, Emilio Jose; 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 ... -
Inference of mixed information in Formal Concept Analysis
Mora-Bonilla, Angel; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Rodríguez, Jose Manuel (2017-10-10)
Negative information can be considered twofold: by means of a negation operator or by capturing the absence of information. In this second approach, a new framework have to be developed: from the syntax to the semantics, ... -
On the existence of right adjoints for surjective mappings between fuzzy structures.
Cabrera, Inma P.; Cordero-Ortega, Pablo; García-Pardo, Francisca; Ojeda-Aciego, Manuel; De Baets, Bernard (National Research University Higher School of Economics, Russia, 2016)
En este trabajo los autores continúan su estudio de la caracterización de la existencia de adjunciones (conexiones de Galois isótonas) cuyo codominio no está dotado de estructura en principio. En este artículo se considera ... -
On the notion of fuzzy adjunctions between fuzzy orders
Las adjunciones (también denominadas conexiones de Galois isótonas) entre dos estructuras matemáticas proporcionan una manera de conectar ambas teorías que permite compartir las ventajas de ambas. Hay varios resultados en ... -
Quasi-closed elements in fuzzy posets
Ojeda Hernández, Manuel; Cabrera, Inma P.; Cordero-Ortega, Pablo (ELSEVIER, 2022-04)
We generalize the notion of quasi-closed element to fuzzy posets in two stages: First, in the crisp style in which each element in a given universe either is quasi-closed or not. Second, in the graded style by defining ... -
Relation-based Galois connections: towards the residual of a relation
Cabrera, Inma P.; Cordero-Ortega, Pablo; Ojeda-Aciego, Manuel (2017-09-29)
We explore a suitable generalization of the notion of Galois connection in which their components are binary relations. Many different approaches are possible depending both on the (pre-)order relation between subsets in ... -
Removing redundancy for attribute implications in data with grades
Mora-Bonilla, Angel; Rodriguez-Lorenzo, Estrella; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel (Cristina Alcalde, Humberto Bustince, Francisco Javier Fernández, 2016)
Reasoning with if-then rules –in particular, with those taking from of implications between conjunctions of attributes– is crucial in many disciplines ranging from theoretical computer science to applications. One of the ... -
Simplification logic for the management of unknown information
Pérez-Gámez, Francisco; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel (Elsevier, 2023)
This paper aims to contribute to the extension of classical Formal Concept Analysis (FCA), allowing the management of unknown information. In a preliminary paper, we define a new kind of attribute implications to represent ... -
The direct-optimal basis via reductions
Rodríguez-Lorenzo, Estrella; Bertet, Karell; Cordero-Ortega, Pablo; Enciso-García-Oliveros, Manuel; Mora-Bonilla, Angel (2014-10-23)
Formal Concept Analysis has become a real approach in the trend Information-Knowledge-Wisdom. It turns around the mining of a data set to built a concept lattice which provides an strong structure of the knowledge. ... -
Un enfoque lógico a los sistemas de implicaciones y las bases directas
(UMA Editorial, 2017-06-20)El tratamiento de la información y el conocimiento es uno de los muchos campos en los que confluyen los métodos matemáticos y computacionales. Una de las áreas donde encontramos de forma clara esta concurrencia es en el ...