Una aproximación a los conjuntos alcanzables
de una inclusión diferencial difusa

WILLIAN GONZÁLEZ-CALDERÓN^*

Universidad Autónoma de Bucaramanga, Departamento de Matemáticas y Ciencias
Naturales, A.A. 1642, Bucaramanga, Colombia.

Un agradecimiento especial al profesor Rafael Isaacs, quien con su testimonio
de vida nos ha enseñado la magia y la belleza de las matemáticas.

Resumen. Se estudian los sistemas dinámicos difusos a partir de la noción de inclusión diferencial difusa introducida en [24]. Se analizan algunas técnicas utilizadas para resolver inclusiones diferenciales difusas asociadas a problemas de valor inicial, y se introduce una nueva forma de aproximación a los conjuntos alcanzables difusos, la cual permite resolver de manera más natural una inclusión diferencial difusa.

Palabras Claves: inclusiones diferenciales difusas, técnicas de aproximación, conjuntos alcanzables difusos.
MSC2010: 34A07, 34A60, 26E50, 03E72.

An approximation to attainable sets of
fuzzy differential inclusions

Abstract. From the notion of fuzzy differential inclusion introduced in [24], fuzzy dynamical systems are studied. Some techniques used to solve fuzzy differential inclusions associated to initial value problems are discussed. A new approximation technique for fuzzy attainable sets which allows to solve in a more natural way a fuzzy differential inclusion is introduced.

Keywords: fuzzy differential inclusions, approximation techniques, fuzzy attainable sets.

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^*E-mail : wgonzalez178@unab.edu.co
Recibido: 30 de marzo de 2012, Aceptado: 12 de junio de 2012.