A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH

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 conditio...

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Autores principales:	BARROS,LAECIO C., OLIVEIRA,SUZANA A., TONELLI,PEDRO A.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2002
Materias:	Fuzzy Dynamical Systems Global Attractors
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003
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spelling	oai:scielo:S0716-091720020002000032002-10-31A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEHBARROS,LAECIO C.OLIVEIRA,SUZANA A.TONELLI,PEDRO A. Fuzzy Dynamical Systems Global Attractors 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 Zadehs 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] )info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.21 n.2 20022002-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003en10.4067/S0716-09172002000200003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fuzzy Dynamical Systems Global Attractors
spellingShingle	Fuzzy Dynamical Systems Global Attractors BARROS,LAECIO C. OLIVEIRA,SUZANA A. TONELLI,PEDRO A. A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
description	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 Zadehs 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] )
author	BARROS,LAECIO C. OLIVEIRA,SUZANA A. TONELLI,PEDRO A.
author_facet	BARROS,LAECIO C. OLIVEIRA,SUZANA A. TONELLI,PEDRO A.
author_sort	BARROS,LAECIO C.
title	A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
title_short	A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
title_full	A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
title_fullStr	A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
title_full_unstemmed	A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH
title_sort	note on asymptotic smoothness of the extensions of zadeh
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2002
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003
work_keys_str_mv	AT barroslaecioc anoteonasymptoticsmoothnessoftheextensionsofzadeh AT oliveirasuzanaa anoteonasymptoticsmoothnessoftheextensionsofzadeh AT tonellipedroa anoteonasymptoticsmoothnessoftheextensionsofzadeh AT barroslaecioc noteonasymptoticsmoothnessoftheextensionsofzadeh AT oliveirasuzanaa noteonasymptoticsmoothnessoftheextensionsofzadeh AT tonellipedroa noteonasymptoticsmoothnessoftheextensionsofzadeh
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A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH

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