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El objetivo de este artículo es proponer una medida de incertidumbre asociada a un conjunto difuso, de un referencial finito, que generalice la entropía de Shannon; es decir, que además de considerar la distribución de probabilidades definida en el referencial considere también la función de pertenencia del conjunto difuso.
Posteriormente se estudian algunas propiedades de la medida propuesta.
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