. 2022 Mar 4;12:3600. doi: 10.1038/s41598-022-07493-w

Table 1.

Gray emergency decision matrix of each rule attribute.

Rule property	Status	Probability	Probability
Rule property	Status	Probability	$A_{1}$	$A_{2}$	…	$A_{n}$
$U_{1}$	$\begin{matrix} S_{1} \\ S_{2} \\ . . . \\ S_{l_{1}} \end{matrix}$	$\begin{matrix} p_{1}^{1} \\ p_{1}^{2} \\ . . . \\ p_{1}^{l_{1}} \end{matrix}$	$\begin{matrix} x_{11}^{1} (\otimes) \\ x_{21}^{1} (\otimes) \\ . . . \\ x_{l_{1} 1}^{1} (\otimes) \end{matrix}$	$\begin{matrix} x_{12}^{1} (\otimes) \\ x_{22}^{1} (\otimes) \\ . . . \\ x_{l_{1} 2}^{1} (\otimes) \end{matrix}$	…	$\begin{matrix} x_{1 n}^{1} (\otimes) \\ x_{2 n}^{1} (\otimes) \\ . . . \\ x_{l_{1} n}^{1} (\otimes) \end{matrix}$
$U_{2}$	$\begin{matrix} S_{1} \\ S_{2} \\ . . . \\ S_{l_{2}} \end{matrix}$	$\begin{matrix} p_{2}^{1} \\ p_{2}^{2} \\ . . . \\ p_{2}^{l_{2}} \end{matrix}$	$\begin{matrix} x_{11}^{2} (\otimes) \\ x_{21}^{2} (\otimes) \\ . . . \\ x_{l_{2} 1}^{2} (\otimes) \end{matrix}$	$\begin{matrix} x_{22}^{2} (\otimes) \\ x_{22}^{2} (\otimes) \\ . . . \\ x_{l_{2} 2}^{2} (\otimes) \end{matrix}$	…	$\begin{matrix} x_{1 n}^{2} (\otimes) \\ x_{2 n}^{2} (\otimes) \\ . . . \\ x_{l_{2} n}^{2} (\otimes) \end{matrix}$
…	…	…	…	…	…	…
$U_{n}$	$\begin{matrix} S_{1} \\ S_{2} \\ . . . \\ S_{l_{n}} \end{matrix}$	$\begin{matrix} p_{n}^{1} \\ p_{n}^{2} \\ . . . \\ p_{n}^{l_{n}} \end{matrix}$	$\begin{matrix} x_{11}^{n} (\otimes) \\ x_{21}^{n} (\otimes) \\ . . . \\ x_{l_{n} 1}^{n} (\otimes) \end{matrix}$	$\begin{matrix} x_{1 n}^{n} (\otimes) \\ x_{2 n}^{n} (\otimes) \\ . . . \\ x_{l_{n} n}^{n} (\otimes) \end{matrix}$	…	$\begin{matrix} x_{1 m}^{n} (\otimes) \\ x_{2 m}^{n} (\otimes) \\ . . . \\ x_{l_{n} m}^{n} (\otimes) \end{matrix}$