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Previous Year Question (PYQs)
2
n a database, a rule is defined as $((P_1 \text{ and } P_2) \text{ or } P_3) \to R_1(0.8)$ and $R_2(0.3)$, where $P_1, P_2, P_3$ are premises and $R_1, R_2$ are conclusions of rules with certainty factors $(CF)$ $0.8$ and $0.3$ respectively. If any running program has produced $P_1, P_2, P_3$ with $CF$ as $0.5, 0.8, 0.2$ respectively, find the $CF$ of results on the basis of premises.
Solution
Given,
$CF(P_1)=0.5,\ CF(P_2)=0.8,\ CF(P_3)=0.2$
For AND operation,
$CF(P_1 \text{ and } P_2)=\min(0.5,0.8)=0.5$
For OR operation,
$CF((P_1 \text{ and } P_2) \text{ or } P_3)=\max(0.5,0.2)=0.5$
Now,
$CF(R_1)=0.5 \times 0.8=0.40$
$CF(R_2)=0.5 \times 0.3=0.15$
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