Generalized version of the compatibility theorem: two examples

In a previous work ([3]) we proved that the Nguyen's condition for $[f(\w A)]_\alpha$ to be equal to $~f(A_\alpha)~$ also holds for the most general class of the $L$-fuzzy subsets, where $~L~$ is an arbitrary lattice. Here we recall the main points of the proof ad present some examples related...

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Detalles Bibliográficos
Autores: Bertoluzza, Carlo, Bodini, Antonella
Tipo de recurso: artículo
Fecha de publicación:1996
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:2099/2626
Acceso en línea:https://hdl.handle.net/2099/2626
Access Level:acceso abierto
Palabra clave:Extension principle
Compatibility
α-cuts
Conjunts borrosos
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
Descripción
Sumario:In a previous work ([3]) we proved that the Nguyen's condition for $[f(\w A)]_\alpha$ to be equal to $~f(A_\alpha)~$ also holds for the most general class of the $L$-fuzzy subsets, where $~L~$ is an arbitrary lattice. Here we recall the main points of the proof ad present some examples related to non-linear lattices.