Activating Generalized Fuzzy Implications from Galois Connections

This paper deals with the relation between fuzzy implications and Galois connections, trying to raise the awareness that the fuzzy implications are indispensable to generalise Formal Concept Analysis. The concrete goal of the paper is to make evident that Galois connections, which are at the heart o...

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Detalles Bibliográficos
Autores: Valverde-Albacete, Francisco J., Peláez-Moreno, Carmen, Del Campo Campos, Cristina
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/23814
Acceso en línea:https://hdl.handle.net/20.500.14352/23814
Access Level:acceso abierto
Palabra clave:Semiring theory
Semiring-valued extensions of FCA
Fuzzy implications
Residuation
Philosophical foundations
Econometría (Economía)
5302 Econometría
Descripción
Sumario:This paper deals with the relation between fuzzy implications and Galois connections, trying to raise the awareness that the fuzzy implications are indispensable to generalise Formal Concept Analysis. The concrete goal of the paper is to make evident that Galois connections, which are at the heart of some of the generalizations of Formal Concept Analysis, can be interpreted as fuzzy incidents. Thus knowledge processing, discovery, exploration and visualization as well as data mining are new research areas for fuzzy implications as they are areas where Formal Concept Analysis has a niche.