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Artificial Intelligence and Soft Computing: Behavioral ... - Arteimi.info

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j ↓<br />

i→<br />

round oval-shaped<br />

<strong>and</strong> MBD = high-CP 0.3 0.7<br />

low-CP 0.4 0.6<br />

Suppose, we are interested to compute:<br />

Bel ( BT ≤ 98° F )<br />

<strong>and</strong> Bel ( BT ≥100° F ).<br />

= P (D /B)<br />

Now, with reference to Pearl’s nomenclature, we thus assume the following<br />

items in fig. 9.8:<br />

ΠBT (high-GM) = 0.6<br />

ΠBT (low-GM) = 0.1<br />

ΠBT (high-CP) = 0.25 <strong>and</strong><br />

ΠBT (low-CP) = 0.05<br />

Here, λY (body-temp) =1.0 <strong>and</strong><br />

λZ (body-temp) = 1.0<br />

Since body-temp (C) is a terminal node in fig, 9.8. the λ values incoming to<br />

it should be unity. Thus by expression (9.19), we find<br />

Unnormalized Bel ( BT ≤ 98° F)<br />

= ΠBT (high-GM) x ΠBT (high-CP) x P (BT ≤ 98° F/ high-GM, high-CP)<br />

+ ΠBT (high-GM) x ΠBT (low-CP) x P (BT ≤98° F / high-GM, low-CP)<br />

+ ΠBT (low-GM) x ΠBT (high-CP) x P (BT ≤ 98° F / low-GM, high-CP)<br />

+ΠBT (low-GM) x ΠBT (low-CP) x P (BT ≤ 98° F / low-GM, low-CP)

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