From 441746f928457910ccbcad919ec8492dd1112a9b Mon Sep 17 00:00:00 2001
From: Juan Marin Noguera <juan@mnpi.eu>
Date: Mon, 12 Dec 2022 18:14:20 +0100
Subject: DSI tema 8 (sistemas de inferencia borrosa)

---
 dsi/n6.lyx | 37 +++++++++++++++++++++++++++++++++++++
 1 file changed, 37 insertions(+)

(limited to 'dsi/n6.lyx')

diff --git a/dsi/n6.lyx b/dsi/n6.lyx
index d3db2e8..9787605 100644
--- a/dsi/n6.lyx
+++ b/dsi/n6.lyx
@@ -250,6 +250,43 @@ normalizado
 \begin_inset Formula $\text{Height}_{F}=1$
 \end_inset
 
+.
+ Si 
+\begin_inset Formula $U$
+\end_inset
+
+ es un subconjunto de un espacio vectorial 
+\begin_inset Formula $E$
+\end_inset
+
+ y se considera 
+\begin_inset Formula $F$
+\end_inset
+
+ definido sobre 
+\begin_inset Formula $E$
+\end_inset
+
+ con 
+\begin_inset Formula $F(x)=0$
+\end_inset
+
+ para 
+\begin_inset Formula $x\in E\setminus U$
+\end_inset
+
+, 
+\begin_inset Formula $F$
+\end_inset
+
+ es 
+\series bold
+convexo
+\series default
+ si 
+\begin_inset Formula $\forall x,y\in E,\forall\alpha\in[0,1],A(\alpha x+(1-\alpha)y)\geq\min\{A(x),A(y)\}$
+\end_inset
+
 .
 \end_layout
 
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