Correction to: Bulletin of Engineering Geology and the Environment (2021)

https://doi.org/10.1007/s10064-021-02225-2

Originally, the Eqs. 9, 10, 12 and 13 were wrongly published in the online version. This has been correctly presented here.

The original article has been corrected.

Equation 9

$$ {m}_{1,2,\dots, s}(X)=\sum \limits_{\begin{array}{c}{X}_1,\dots, {X}_s\in {2}^{\varTheta}\\ {}{X}_1\cap \dots \cap {X}_s=X\end{array}}\ \prod \limits_{j=1}^s{m}_j\left({X}_j\right) $$
(9)

Equation 10

$$ {m}_{1,2,\dots, s}\left(\varnothing \right)=\sum \limits_{\begin{array}{c}{X}_1,\dots, {X}_s\in {2}^{\varTheta}\\ {}{X}_1\cap \dots \cap {X}_s=\varnothing \end{array}}\ \prod \limits_{j=1}^s{m}_j\left({X}_j\right) $$
(10)

Equation 12

$$ {m}_{1,2,\dots, s}^{DS}(X)=\frac{1}{1-{m}_{1,2,\dots, s}\left(\varnothing \right)}\ \sum \limits_{\begin{array}{c}{X}_1,\dots, {X}_s\in {2}^{\varTheta}\\ {}{X}_1\cap \dots \cap {X}_s=X\end{array}}\ \prod \limits_{j=1}^s{m}_j\left({X}_j\right) $$
(12)

Equation 13

$$ {m}_{1,2,\dots, s}^{PCR6}(X)={m}_{1,2,\dots, s}(X)+\sum \limits_{k=1}^{s-1}\kern1em \sum \limits_{\begin{array}{c}{X}_{i_1,}{X}_{i_2},\dots, {X}_{i_k}\in {2}^{\varTheta}\setminus X\\ {}\left({\bigcap}_{j=1}^k{X}_{i_j}\right)\bigcap X=\varnothing \end{array}}\kern1em \sum \limits_{\left({i}_1,{i}_2,\dots, {i}_k\right)\in {P}^s\left(\left\{1,\dots, s\right\}\right)}\left[{m}_{i_1}(X)+{m}_{i_2}(X)+\dots +{m}_{i_k}(X)\right]\cdotp \frac{m_{i_1}(X)\dots {m}_{i_k}(X){m}_{i_{k+1}}\left({X}_{i_{k+1}}\right)\dots {m}_{i_1}\left({X}_{i_s}\right)}{m_{i_1}(X)+\dots +{m}_{i_k}(X)+{m}_{i_{k+1}}\left({X}_{i_{k+1}}\right)+\dots +{m}_{i_s}\left({X}_{i_s}\right)} $$
(13)