Table 8.

The PC logic and the fuzzy logic for the regulatory effects of genes G₁ and G₂ on the target, utilizing continuous gene expression data. exp_A and exp_B denote the expression levels of genes G₁ and G₂, respectively

Logic	Probabilistic Logic Def.	Fuzzy Logic Def.
$\mathit{\text{NOT}}\left({\mathrm{G}}_1\right)=\overline{{\mathrm{G}}_1}$	$1-{\mathit{exp}}_{{\mathrm{G}}_1}$	$1-{\mathit{exp}}_{{\mathrm{G}}_1}$
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	${\mathit{exp}}_{G_1}+{\mathit{exp}}_{G_2}-{\mathit{exp}}_{G_1}\ast {\mathit{exp}}_{{\mathrm{G}}_2}$	$\mathit{min}\left(1,{\mathit{exp}}_{{\mathrm{G}}_1}+{\mathit{exp}}_{{\mathrm{G}}_2}\right)$