Critical Mineral Security in China: An Evaluation Based on Hybrid MCDM Methods
Abstract
:1. Introduction
- (1)
- How should mineral security be defined under the background of sustainable development?
- (2)
- How should national mineral security be measured and tracked?
- (3)
- How did the energy security performance change during the past years?
- (4)
- How can China enhance its national mineral security and minimize the related risks?
2. Materials and Methods
2.1. Dimensions and Metrics
2.1.1. Availability
2.1.2. Accessibility
2.1.3. Technology Efficiency
2.1.4. Sociability and Governance
2.1.5. Environmental Sustainability
2.2. Methods
2.2.1. Fuzzy AHP
- Step 1: Pairwise comparisons of the criteria are made according to their relative importance with respect to the overall goal, and the importance of the alternatives with respect to each criterion using fuzzy numbers. In this study, we relied on the linguistic term and corresponding fuzzy numbers (as presented in Table 2) to make pairwise comparisons.
- Step 2: The comparison matrix is established based on the pairwise comparison in Step 1. Let us assume that a total of n criteria are included in the decision unit, with the criteria represented by . Then, the fuzzy comparison matrix can be obtained as shown below.
- Step 3: The value of fuzzy synthetic extent is computed with respect to the criterion, which is defined as
- Step 4: The degree of possibility of ≥ is calculated, which is defined as follows:
- Step 5: The possibility matrix is determined, which is used to describe the relative significance of each pair of criteria using the corresponding value of the fuzzy synthetic extent as shown in Equation (6).
- Step 6: The degree of possibility for the fuzzy synthetic extent is obtained with respect to each criterion to be greater than that for all the other criteria. For instance, the degree of possibility for the fuzzy synthetic extent with respect the criterion is greater than that with respect to all the other criteria, and can be defined as follows:
- Step 7: The weight vectors are normalized, which are written as
2.2.2. PROMETHEE
- Step 1: The decision matrix is established and normalized. Let us assume that there are a total of alternatives and criteria in the decision problem, and donates the attribute value of the alternative with respect to the criterion; then, the decision matrix can be represented by . In order to eliminate the dimensional effect of the metrics, the benefit and cost type criteria are normalized by Equations (11) and (12), respectively; then, the normalized decision matrix can be donated by , where is the normalized value of the alternative with respect to the criterion.
- Step 2: The deviations are computed based on pairwise comparisons according to Equation (13), which donates the preference for alternative a over b for the criterion.
- Step 3: The preference function for each criterion is selected. According to Equation (14), the preference function can transform the difference between two alternatives into a preference degree that ranges from zero to one. Usually, six types of generalized preference functions can be used: (1) usual criterion, (2) U-shaped criterion, (3) V-shaped criterion, (4) level criterion, (5) V-shaped with indifference criterion, and (6) Gaussian criterion, as shown in Equations (15)–(20). Among them, the V-shaped criterion is more widely used in practice.
- Step 4: The global preference index for all alternatives is determined by Equation (21); then, their positive and negative outranking flows and are calculated by Equations (22) and (23), respectively.
- Step 5: The net outranking flow, which represents the final rank of the alternatives, can be determined by Equation (24), where a greater value is better.
3. Results
4. Policy Implications
5. Conclusions and Discussion
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
Availability (A1) | Accessibility (A2) | Technology and Efficiency (A3) | Sociability and Governance (A4) | Environmental Sustainability (A5) | |
---|---|---|---|---|---|
A1 | E | M | W | V | F |
A2 | RM | E | RW | W | M |
A3 | RW | W | E | F | W |
A4 | RV | RW | RF | E | RM |
A5 | RF | RM | RW | M | E |
I1: Reserve to Production Ratio | I2: Per Capita Mineral Reserves | I3: Ratio of Domestic Mineral Reserves to World Total | I4: Self-Sufficiency | I5: Production Centralization | I6: Ratio of Domestic Mineral Production to World Total | |
---|---|---|---|---|---|---|
I1 | E | M | W | W | A | V |
I2 | RM | E | RM | RW | M | M |
I3 | RW | M | E | W | V | F |
I4 | RW | W | RW | E | F | F |
I5 | RA | RM | RV | RF | E | W |
I6 | RV | RM | RF | RF | RW | E |
I7: Concentration of Importing Sources | I8: Mineral Price in International Market | I9: Safety of Transport Routes | |
---|---|---|---|
I7 | E | F | W |
I8 | RF | E | RM |
I9 | RW | M | E |
I10: Mining Technology Innovations | I11: Newly Discovered Reserves | I12: Mineral Intensity | I13: Comprehensive Utilization of Minerals | |
---|---|---|---|---|
I10 | E | M | RW | M |
I11 | RM | E | RV | RW |
I12 | W | V | E | M |
I13 | RM | W | RM | E |
I14: Proportion of Mining Industry in Total Employment | I15: Wage Level of Mining Industry | I16: Investment on Exploration | I17: Investment on Mining Environment Restoration | I18: Cases of Illegal Mining Activities | |
---|---|---|---|---|---|
I14 | E | RW | RV | RA | RW |
I15 | W | E | RM | RV | M |
I16 | V | M | E | E | V |
I17 | A | V | E | E | V |
I18 | W | RM | RV | RV | E |
I19: Intensity of Industrial Solid Waste Emissions | I20: Ratio of Industrial Solid Waste Utilized | I21: Intensity of Industrial Waste Water Emissions | I22: Intensity of Industrial COD Emissions | I23: Intensity of Industrial NH3–N Emissions | I24: Intensity of Industrial SO2 Emissions | I25: Intensity of Industrial Soot and Dust Emissions | I26: Intensity of NOx Emissions | |
---|---|---|---|---|---|---|---|---|
I19 | E | A | E | F | F | M | W | F |
I20 | RA | E | RV | RM | RM | RF | RV | RM |
I21 | E | V | E | F | M | M | W | M |
I22 | RF | M | RF | E | W | RW | RM | W |
I23 | RF | M | RM | RW | E | RM | RM | E |
I24 | RM | F | RM | W | M | E | RW | W |
I25 | RW | V | RW | M | M | W | E | W |
I26 | RF | M | RM | RW | E | RW | RW | E |
Availability (A1) | Accessibility (A2) | Technology and Efficiency (A3) | Sociability and Governance (A4) | Environmental Sustainability (A5) | |
---|---|---|---|---|---|
A1 | (1,1,1) | (1,3/2,2) (1,3/2,2) (3/2,2,5/2) | (1/2,1,3/2) (1,3/2,2) (1,3/2,2) | (2,5/2,3) (3/2,2,5/2) (5/2,3,7/2) | (3/2,2,5/2) (1,3/2,2) (3/2,2,5/2) |
A2 | (1/2,2/3,1) (1/2,2/3,1) (2/5,1/2,2/3) | (1,1,1) | (2/3,1,2) (2/5,1/2,2/3) (1/2,2/3,1) | (1/2,1,3/2) (2/3,1,2) (1,3/2,2) | (1,3/2,2) (1/2,1,3/2) (1/2,1,3/2) |
A3 | (2/3,1,2) (1/2,2/3,1) (1/2,2/3,1) | (1/2,1,3/2) (3/2,2,5/2) (1,3/2,2) | (1,1,1) | (3/2,2,5/2) (1/2,1,3/2) (3/2,2,5/2) | (1/2,1,3/2) (1,1,1) (1,3/2,2) |
A4 | (1/3,2/5,1/2) (2/5,1/2,2/3) (2/7,1/3,2/5) | (2/3,1,2) (1/2,1,3/2) (1/2,2/3,1) | (2/5,1/2,2/3) (2/3,1,2) (2/5,1/2,2/3) | (1,1,1) | (1/2,2/3,1) (2/3,1,2) (2/3,1,2) |
A5 | (2/5,1/2,2/3) (1/2,2/3,1) (2/5,1/2,2/3) | (1/2,2/3,1) (2/3,1,2) (2/3,1,2) | (2/3,1,2) (1,1,1) (1/2,2/3,1) | (1,3/2,2) (1/2,1,3/2) (1/2,1,3/2) | (1,1,1) |
A1 | A2 | A3 | A4 | A5 | |
---|---|---|---|---|---|
A1 | (1.000,1.000,1.000) | (1.167,1.667,2.167) | (0.833,1.333,1.833) | (2.000,2.500,3.000) | (1.333,1.833,2.333) |
A2 | (0.467,0.611,0.889) | (1.000,1.000,1.000) | (0.522,0.722,1.222) | (0.722,1.167,1.833) | (0.667,1.167,1.667), |
A3 | (0.556,0.778,1.333) | (1.000,1.500,2.000) | (1.000,1.000,1.000) | (1.167,1.67,2.167) | (0.833,1.167,1.500) |
A4 | (0.340,0.411,0.522) | (0.556,0.889,1.500) | (0.489,0.667,1.111) | (1.000,1.000,1.000) | (0.611,0.889,1.667) |
A5 | (0.433,0.556,0.778) | (0.611,0.889,1.667) | (0.722,0.889,1.333) | (0.667,1.167,1.667) | (1.000,1.000,1.000) |
S1 | S2 | S3 | S4 | S5 | |
---|---|---|---|---|---|
S1 | - | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
S2 | 0.5277 | - | 0.7893 | 1.0000 | 1.0000 |
S3 | 0.7277 | 1.0000 | - | 1.0000 | 1.0000 |
S4 | 0.4028 | 0.8651 | 0.6577 | - | 0.8890 |
S5 | 0.5027 | 0.9732 | 0.7631 | 1.0000 | - |
Weight of Dimensions | Metrics | Local Weight of Metrics | Global Weight of Metrics | |
---|---|---|---|---|
A1 | 0.3164 | I1 | 0.2527 | 0.0799 |
I2 | 0.1865 | 0.0590 | ||
I3 | 0.2108 | 0.0667 | ||
I4 | 0.2199 | 0.0696 | ||
I5 | 0.0587 | 0.0186 | ||
I6 | 0.0714 | 0.0226 | ||
A2 | 0.1669 | I7 | 0.4629 | 0.0773 |
I8 | 0.1925 | 0.0321 | ||
I9 | 0.3446 | 0.0575 | ||
A3 | 0.2302 | I10 | 0.2652 | 0.0611 |
I11 | 0.1492 | 0.0344 | ||
I12 | 0.3488 | 0.0803 | ||
I13 | 0.2368 | 0.0545 | ||
A4 | 0.1274 | I14 | 0.0409 | 0.0052 |
I15 | 0.1213 | 0.0155 | ||
I16 | 0.3687 | 0.0470 | ||
I17 | 0.3687 | 0.0470 | ||
I18 | 0.1004 | 0.0128 | ||
A5 | 0.1591 | I19 | 0.2027 | 0.0322 |
I20 | 0.0070 | 0.0011 | ||
I21 | 0.2027 | 0.0322 | ||
I22 | 0.1211 | 0.0193 | ||
I23 | 0.0959 | 0.0153 | ||
I24 | 0.1248 | 0.0198 | ||
I25 | 0.1351 | 0.0215 | ||
I26 | 0.1107 | 0.0176 |
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Dimensions | Components | Metrics | Explanation | Data source |
---|---|---|---|---|
A1: Availability | A11: Mineral potential | I1: Reserve to production ratio | Mineral reserves/mineral production | China Mining Yearbook |
I2: Per capita mineral reserves | Mineral reserves/total population | China Mining Yearbook | ||
I3: Ratio of domestic mineral reserves to world total | Domestic mineral reserves/world total mineral reserves | Mineral Commodity Summary | ||
A12: Mineral production | I4: Self-sufficiency | Total mineral production/total mineral consumption | China Mineral Resources | |
I5: Production centralization | Number of middle–large mineral companies/number of total mineral companies | China Mining Yearbook | ||
I6: Ratio of domestic mineral production to world total | Domestic mineral production/world total mineral production | Mineral Commodity Summary | ||
A2: Accessibility | A21: Import security | I7: Concentration of importing sources | China Mining Yearbook | |
I8: Mineral prices | Mineral prices in the international mineral market | London Metal Exchange | ||
A22: Transport security | I9: Safety of transport routes | Actual and attempted piracy attacks around the world | International Maritime Organization | |
A3: Technology and efficiency | A31: Mining technologies | I10: Mining technology innovations | Scientific and technological achievements registered in Ministry of Land and Resources | China Gazette of Land and Resources |
I11: Newly discovered reserves | Newly discovered reserves/yearly mineral production | China Gazette of Land and Resources | ||
A32: Mineral utilization | I12: Mineral intensity | Volume of mineral consumption/Gross Domestic Product | China Mining Yearbook | |
I13: Comprehensive utilization of minerals | Output from comprehensive utilization of minerals/total mining output | China Mining Yearbook | ||
A4: Sociability and governance | A41: Employment | I14: Ratio of mining workers in total employment | Number of mining workers/total social employment | China National Bureau of Statistics |
I15: Wage level of mining workers | Average wages of mining workers/average wages of total social employment | China National Bureau of Statistics | ||
A42: Investment and expenditure | I16: Government investment on mining exploration | Government investment on mining exploration/Gross Domestic Product | China Mining Yearbook | |
I17: Expenditure on mining environment restoration | Expenditure on mining environment restoration/total government expenditure | China Mineral Resources Report | ||
A43: Governance efficiency | I18: Cases of illegal mining activities | Illegal cases of mining investigation and exploitation | China Mining Yearbook | |
A5: Environmental sustainability | A51: Land environment | I19: Intensity of industrial solid waste emissions | Volume of industrial solid waste emissions/Gross Domestic Product | China National Bureau of Statistics |
I20: Ratio of industrial solid waste utilized | Volume of utilized industrial solid waste/volume of industrial solid waste emissions | China National Bureau of Statistics | ||
A52: Water environment | I21: Intensity of industrial waste water emissions | Volume of industrial waste water emissions/Gross Domestic Product | China National Bureau of Statistics | |
I22: Intensity of industrial COD emissions | Volume of industrial COD emissions/Gross Domestic Product | China National Bureau of Statistics | ||
I23: Intensity of industrial NH3–N emissions | Volume of industrial ammonia nitrogen emissions/Gross Domestic Product | China National Bureau of Statistics | ||
A53: Air environment | I24: Intensity of industrial SO2 emissions | Volume of industrial SO2 emissions/Gross Domestic Product | China National Bureau of Statistics | |
I25: Intensity of industrial soot and dust emissions | Volume of industrial soot and dust emissions/Gross Domestic Product | China National Bureau of Statistics | ||
I26: Intensity of NOx emissions | Volume of industrial solid wastes emissions/Gross Domestic Product | China National Bureau of Statistics |
Linguistic Scales | Triangular Fuzzy Scales |
---|---|
Equally important (E) | (1,1,1) |
Weakly important (W) | (1/2,1,3/2) |
Moderately important (M) | (1,3/2,2) |
Fairly strongly important (F) | (3/2,2,5/2) |
Very strongly important (V) | (2,5/2,3) |
Absolutely important (A) | (5/2,3,7/2) |
Reciprocals of these | Reciprocals of the fuzzy numbers |
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Zhang, L.; Bai, W.; Yu, J.; Ma, L.; Ren, J.; Zhang, W.; Cui, Y. Critical Mineral Security in China: An Evaluation Based on Hybrid MCDM Methods. Sustainability 2018, 10, 4114. https://doi.org/10.3390/su10114114
Zhang L, Bai W, Yu J, Ma L, Ren J, Zhang W, Cui Y. Critical Mineral Security in China: An Evaluation Based on Hybrid MCDM Methods. Sustainability. 2018; 10(11):4114. https://doi.org/10.3390/su10114114
Chicago/Turabian StyleZhang, Long, Wuliyasu Bai, Jing Yu, Linmao Ma, Jingzheng Ren, Weishi Zhang, and Yuanzheng Cui. 2018. "Critical Mineral Security in China: An Evaluation Based on Hybrid MCDM Methods" Sustainability 10, no. 11: 4114. https://doi.org/10.3390/su10114114
APA StyleZhang, L., Bai, W., Yu, J., Ma, L., Ren, J., Zhang, W., & Cui, Y. (2018). Critical Mineral Security in China: An Evaluation Based on Hybrid MCDM Methods. Sustainability, 10(11), 4114. https://doi.org/10.3390/su10114114