Table 2 FAHP-CRITIC weighting calculation results.

From: Risks of mineral resources in the supply of renewable energy batteries

Indicator

Subjective weight

Objective weight

Combined weight

\({{\text{W}}_{{\text{sub}}}}\)

\({{\text{W}}_{{\text{Li}}}}\)

\({{\text{W}}_{{\text{Mn}}}}\)

\({{\text{W}}_{{\text{Ni}}}}\)

\({{\text{W}}_{{\text{Co}}}}\)

\({\text{W}}_{{{\text{Li}}}}^{*}\)

\({\text{W}}_{{{\text{Mn}}}}^{*}\)

\({\text{W}}_{{{\text{Ni}}}}^{*}\)

\({\text{W}}_{{{\text{Co}}}}^{*}\)

C11

0.054

0.048

0.053

0.055

0.049

0.052

0.054

0.054

0.052

C12

0.056

0.061

0.062

0.059

0.032

0.057

0.058

0.056

0.047

C13

0.079

0.058

0.054

0.065

0.056

0.071

0.072

0.076

0.070

C14

0.053

0.055

0.078

0.066

0.074

0.054

0.059

0.055

0.061

C21

0.123

0.118

0.079

0.093

0.059

0.121

0.112

0.118

0.099

C22

0.089

0.121

0.125

0.111

0.101

0.100

0.098

0.093

0.094

C31

0.099

0.077

0.071

0.074

0.083

0.092

0.092

0.095

0.093

C32

0.116

0.067

0.067

0.058

0.077

0.099

0.103

0.107

0.101

C33

0.066

0.066

0.071

0.083

0.082

0.066

0.067

0.069

0.072

C41

0.051

0.071

0.070

0.070

0.068

0.058

0.056

0.054

0.057

C42

0.053

0.067

0.067

0.062

0.103

0.057

0.057

0.054

0.072

C43

0.058

0.059

0.060

0.085

0.051

0.059

0.059

0.063

0.056

C44

0.052

0.081

0.076

0.064

0.081

0.062

0.058

0.054

0.063

C45

0.051

0.052

0.067

0.057

0.083

0.052

0.055

0.052

0.063

Notes: Weight Combination (\({{\text{W}}^*}=\beta _{1}^{*}{\text{W}}_{1}^{T}+\beta _{2}^{*}{\text{W}}_{2}^{T}\))

\(\begin{gathered} {\text{W}}_{{{\text{Li}}}}^{*} = \beta _{1}^{{{\text{Li}}}} {\text{W}}_{{{\text{Li}}}}^{T} + \beta _{2}^{{{\text{Li}}}} {\text{W}}_{{{\text{Li}}}}^{T} \hfill \\ \beta _{1}^{{{\text{Li}}}} = 0.6577 \hfill \\ \beta _{2}^{{{\text{Li}}}} = 0.3423 \hfill \\ \end{gathered}\)

\(\begin{gathered} {\text{W}}_{{{\text{Mn}}}}^{*} = \beta _{1}^{{{\text{Mn}}}} {\text{W}}_{{{\text{Mn}}}}^{T} + \beta _{2}^{{{\text{Mn}}}} {\text{W}}_{{{\text{Mn}}}}^{T} \hfill \\ \beta _{1}^{{{\text{Mn}}}} = 0.7403 \hfill \\ \beta _{2}^{{{\text{Mn}}}} = 0.2597 \hfill \\ \end{gathered}\)

\(\begin{gathered} {\text{W}}_{{{\text{Ni}}}}^{*} = \beta _{1}^{{{\text{Ni}}}} {\text{W}}_{{{\text{Ni}}}}^{T} + \beta _{2}^{{{\text{Ni}}}} {\text{W}}_{{{\text{Ni}}}}^{T} \hfill \\ \beta _{1}^{{{\text{Ni}}}} = 0.8376 \hfill \\ \beta _{2}^{{{\text{Ni}}}} = 0.1624 \hfill \\ \end{gathered}\)

\(\begin{gathered} {\text{W}}_{{{\text{Co}}}}^{*} = \beta _{1}^{{{\text{Co}}}} {\text{W}}_{{{\text{Co}}}}^{T} + \beta _{2}^{{{\text{Co}}}} {\text{W}}_{{{\text{Co}}}}^{T} \hfill \\ \beta _{1}^{{{\text{Co}}}} = 0.6197 \hfill \\ \beta _{2}^{{{\text{Co}}}} = 0.3803 \hfill \\ \end{gathered}\)

Experts in the FAHP method:

Expert 1: Professor of the second rank, long-term engagement in research on the strategy of mineral resources.

Expert 2: Professor of the second rank, mainly engaged in the research of international trade and economic cooperation.

Expert 3: Professor of the second rank, primarily engaged in research on resource and environmental economics.