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  • Chilean Journal of Agricultural Research
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A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH

Author
BARROS,LAECIO C.

OLIVEIRA,SUZANA A.

TONELLI,PEDRO A.

Full text
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003
Abstract
The concept of asymptotic smooth transformation was introduced by J. Hale [10]. It is a very important property for a transformation between complete metric spaces to have a global attractor. This property has also consequences on asymptotic stability of attractors. In our work we study the conditions under which the Zadeh s extension of a continuous map f : Rn ! Rn is asymptotically smooth in the complete metric space F (Rn ) of normal fuzzy sets with the induced Hausdorff metric d 1 (see Kloeden and Diamond [8] )
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Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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