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Tema 5 - GIAA

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Funciones de Negación<br />

• Propiedades<br />

d<br />

– Límite clásico: f ¬ (1) = 0; f ¬ (0) = 1<br />

– Involución: f ¬ (f ¬ (a)) = a<br />

– Monotonía: a≤ b ⇒ f ¬ (a) ≥ f ¬ (b)<br />

• Funciones<br />

– Lukasiewicz : f ¬ (a) = 1 – a<br />

– Sugeno:<br />

– Yager:<br />

f ¬<br />

f<br />

¬<br />

(a)<br />

1- a<br />

=<br />

1-<br />

βa<br />

( a)<br />

= (1 − a<br />

β<br />

)<br />

1<br />

β

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