From: LogicNet: probabilistic continuous logics in reconstructing gene regulatory networks
Logic | Probabilistic Logic Def. | Fuzzy Logic Def. |
---|---|---|
\( NOT\left({\mathrm{G}}_1\right)=\overline{{\mathrm{G}}_1} \) | \( 1-{\mathit{\exp}}_{{\mathrm{G}}_1} \) | \( 1-{\mathit{\exp}}_{{\mathrm{G}}_1} \) |
AND(G1, G2) = G1 ⋀ G2 | \( {\mathit{\exp}}_{{\mathrm{G}}_1}\ast {\mathit{\exp}}_{{\mathrm{G}}_2} \) | \( \mathit{\min}\left({\mathit{\exp}}_{{\mathrm{G}}_1},{\mathit{\exp}}_{{\mathrm{G}}_2}\right) \) |
OR(G1, G2) = G1 ⋁ G2 | \( {\mathit{\exp}}_{G_1}+{\mathit{\exp}}_{G_2}-{\mathit{\exp}}_{G_1}\ast {\mathit{\exp}}_{{\mathrm{G}}_2} \) | \( \mathit{\min}\left(1,{\mathit{\exp}}_{{\mathrm{G}}_1}+{\mathit{\exp}}_{{\mathrm{G}}_2}\right) \) |