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: | , , |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2002
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003 |
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| Sumario: | 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] ) |
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