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AI - a Guide to Intelligent Systems.pdf - Member of EEPIS

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FORECAST: BAYESIAN ACCUMULATION OF EVIDENCE<br />

71<br />

pð<strong>to</strong>morrow is dry j <strong>to</strong>day is rain \ rainfall is lowÞ ¼ 4:1<br />

1 þ 4:1 ¼ 0:80<br />

<strong>to</strong>morrow is dry {0.80}<br />

rain {0.71}<br />

What is the temperature <strong>to</strong>day?<br />

) cold<br />

Rule: 4<br />

if <strong>to</strong>day is rain<br />

and rainfall is low<br />

and temperature is cold {LS 1.5 LN 1}<br />

then <strong>to</strong>morrow is dry {prior .5}<br />

Oð<strong>to</strong>morrow is dryÞ ¼ 0:80<br />

1 0:80 ¼ 4<br />

Oð<strong>to</strong>morrow is dry j <strong>to</strong>day is rain \ rainfall is low \ temperature is coldÞ<br />

¼ 1:50 4 ¼ 6<br />

pð<strong>to</strong>morrow is dry j <strong>to</strong>day is rain \ rainfall is low \ temperature is coldÞ<br />

¼ 6<br />

1 þ 6 ¼ 0:86<br />

<strong>to</strong>morrow is dry {0.86}<br />

rain {0.71}<br />

Rule: 5<br />

if <strong>to</strong>day is dry<br />

and temperature is warm {LS 2 LN .9}<br />

then <strong>to</strong>morrow is rain {prior .5}<br />

Oð<strong>to</strong>morrow is rainÞ ¼ 0:71<br />

1 0:71 ¼ 2:45<br />

Oð<strong>to</strong>morrow is rainj<strong>to</strong>day is not dry \ temperature is not warmÞ¼0:9 2:45 ¼ 2:21<br />

pð<strong>to</strong>morrow is rainj<strong>to</strong>day is not dry \ temperature is not warmÞ¼ 2:21<br />

1 þ 2:21 ¼ 0:69<br />

<strong>to</strong>morrow is dry {0.86}<br />

rain {0.69}<br />

What is the cloud cover <strong>to</strong>day?<br />

) overcast<br />

Rule: 6<br />

if <strong>to</strong>day is dry<br />

and temperature is warm<br />

and sky is overcast {LS 5 LN 1}<br />

then <strong>to</strong>morrow is rain {prior .5}

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