Table 2 CPT of FPBN.
From: Reliability analysis of subsea pipeline system based on fuzzy polymorphic bayesian network
\(X1\) | \(X2\) | \(\:\cdots\:\) | \(Xn\) | \(P(Y = Y^{{b_{1} }} \left| {X1, \cdot \cdot \cdot ,Xn)} \right.\) | \(P(Y = Y^{{b_{2} }} \left| {X1, \cdot \cdot \cdot ,Xn)} \right.\) | \(\:\cdots\:\) | \(P(Y = Y^{{b_{j} }} \left| {X1, \cdot \cdot \cdot ,Xn)} \right.\) |
|---|---|---|---|---|---|---|---|
0 | 0 | \(\:\cdots\:\) | 0 | \({\alpha _{1,1}}\) | \({\alpha _{1,2}}\) | \(\:\cdots\:\) | \({\alpha _{1,j}}\) |
0 | 0 | \(\:\cdots\:\) | 0.5 | \({\alpha _{2,1}}\) | \({\alpha _{2,2}}\) | \(\:\cdots\:\) | \({\alpha _{2,j}}\) |
0 | 0 | \(\:\cdots\:\) | 1 | \({\alpha _{3,1}}\) | \({\alpha _{3,2}}\) | \(\:\cdots\:\) | \({\alpha _{3,j}}\) |
â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® |
1 | 1 | \(\:\cdots\:\) | 0 | \({\alpha _{n - 2,1}}\) | \({\alpha _{n - 2,2}}\) | \(\:\cdots\:\) | \({\alpha _{n - 2,j}}\) |
1 | 1 | \(\:\cdots\:\) | 0.5 | \({\alpha _{n - 1,1}}\) | \({\alpha _{n - 1,2}}\) | \(\:\cdots\:\) | \({\alpha _{n - 1,j}}\) |
1 | 1 | \(\:\cdots\:\) | 1 | \({\alpha _{n,1}}\) | \({\alpha _{n,2}}\) | \(\:\cdots\:\) | \({\alpha _{n,j}}\) |
