The embedding if the formal concept analysis inte the L-fuzzy concept theory

In this work, we study the relation between the concept lattice of Wille ([5], [6]) and the $L-Fuzzy$ concept lattice ([2]) developed by us. To do it, we have defined an application $g$ that associates to each concept of Wille an $L-Fuzzy$ concept. The main point of this work is to prove that if we...

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Detalles Bibliográficos
Autores: Burusco Juandeaburre, Ana, Fuentes-González, Ramón
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3500
Acceso en línea:https://hdl.handle.net/2099/3500
Access Level:acceso abierto
Palabra clave:Concepts
L-fuzzy concept analysis
Hierarquies of concepts
L-fuzzy sets
Conceptual knowledge
Conjunts, Teoria de
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
Descripción
Sumario:In this work, we study the relation between the concept lattice of Wille ([5], [6]) and the $L-Fuzzy$ concept lattice ([2]) developed by us. To do it, we have defined an application $g$ that associates to each concept of Wille an $L-Fuzzy$ concept. The main point of this work is to prove that if we are working with a crisp relation between an object set and an attribute set, the concept lattice of Wille is a sublattice of the $L-Fuzzy$ concept lattice. At the end, we show a typical example in the formal concept theory where we have constructed the $L-Fuzzy$ concept lattice.