Computational Intelligence - Problems for Chapter 10 -- Solution to part (b)

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Solution to part (b)

Suppose we were to eliminate D. What factor(s) are removed and which factor is created. Give the table for the created factor.

We remove the factors containing D, these are f₁(D) and P(C|B,D). We create a new factor f₂(B,C) on the remaining factors.

B C Value

true true 0.93 * 0.112 + 0.33 * 0.888 = 0.3972

true false 0.07 * 0.112 + 0.67 * 0.888 = 0.6028

false true 0.53 * 0.112 + 0.83 * 0.888 = 0.7964

false false 0.47 * 0.112 + 0.17 * 0.888 = 0.2036

B	C	Value
true	true	0.93 * 0.112 + 0.33 * 0.888 = 0.3972
true	false	0.07 * 0.112 + 0.67 * 0.888 = 0.6028
false	true	0.53 * 0.112 + 0.83 * 0.888 = 0.7964
false	false	0.47 * 0.112 + 0.17 * 0.888 = 0.2036