The Dalal distance $d_{\text{dalal}}$ is a distance function for interpretations in $\mathsf{Int}(\mathsf{At})$ and is defined as $d(\omega,\omega')=|\{a \in\mathsf{At}\mid \omega(a)\neq \omega'(a)\}|$ for all $\omega,\omega'\in\mathsf{Int}(\mathsf{At})$. Then the Dalal-sum inconsistency measure $\mathcal{I}^{\Sigma}_{\text{dalal}}$ is defined as (let $\mathcal{K}=\{\alpha_1\,\ldots,\alpha_n\}$)
\[
\mathcal{I}^{\Sigma}_{\text{dalal}}(\mathcal{K}) = \min\{x_1+\ldots+x_n\mid \exists\omega\in\mathsf{Int}(\mathsf{At}):\forall i=1,\ldots,n:\exists\omega_i\in\mathsf{Mod}(\alpha_i):d_{\text{dalal}}(\omega,\omega_i)=x_i\}
\]
The Dalal-sum inconsistency measure has been proposed in [Grant:2013].