1. Introduction
It is a necessary way to realize the rational and efficient utilization of natural resources and the healthy and orderly progress of the sustainable development and production of mineral resources, and the construction of “
green mines” can accelerate the sustainable development of the mining industry [
1,
2]. The expression green mines has more meanings than just “
greenified mines”, which has such further meanings as mining, production, management, environmental protection, resource utilization, scientific and technological innovation, community harmony, and corporate culture, etc. It can be said that green mine construction runs through the whole process of mine development, such as mine planning, design, construction, operation, and pit closure etc., so it is of great significance to balance resource and ecological environment protection [
3,
4].
As a complex system, the green mine and its construction and improvement are still in the exploration stage [
5,
6]. A standard system needs to be established to refine the factors in the system, so as to provide guidance and countermeasures for enterprises [
7]. Huang Jingjun [
8] believed that the construction of green mines should emphasize resource conservation, environmental friendliness, the respect for the original natural ecology, saving of the mineral resources, and protection and reconstruction of the landscape ecology. Lai Xiaoying [
9] constructed a green mine index system from the aspects of efficient utilization of resources, energy conservation and emission reduction, standardized management, production safety and environmental reconstruction. With the continuous deepening of the research, some scholars [
10] believed that in the period of emphasizing environmental friendliness, special attention should also be paid to economic development, so as to maintain a certain degree of coordination between the ecologic and the economic systems formed by mine development. Zhang Yingliang [
11] proposed, from the life cycle of mine construction, that the whole life cycle of mine should be coordinated with the surrounding environment, and meet the requirements of sustainable development. Some scholars, with the introduction of environmental costs into mining activities, implemented the green sustainable development strategy by analyzing the environmental problems arising from mining, concentration and mineral processing operations [
12]. From different perspectives, a multi-objective and multi-level evaluation index system was established in these studies, and the influencing factors related to the green mine construction of enterprises were determined. However, the internal links between these factors were ignored, which caused incomplete description of the structure and function of each component.
The evaluation of the construction degree of enterprises’ green mines is helpful in understanding the construction situation of enterprises more intuitively and efficiently, and it can provide guiding countermeasures for the comprehensive construction of green mines [
13]. At present, the indicator scoring accumulation method is often adopted in practice to evaluate the construction of enterprises’ green mines. That is, by accumulating the scores of experts, it can be determined whether the indicators meet the national green mine construction standards [
14]. The method, despite the advantages of simple operation, has such obvious problems as a large impact of subjective factors and the lack of objectivity in evaluation process [
15]. With the deepening of research, such methods as analytic hierarchy process, principal component analysis, fuzzy comprehensive evaluation, data envelopment analysis, etc. were introduced into the green mine evaluation process to improve the science and precision of the evaluation system [
16,
17,
18]. Song Ziling [
19] and other scholars put forward the concept of “green degree”. With the concept and the evaluation criteria, the current green mining degree of mining enterprises was evaluated. Weizhang Liang [
20] made a comparative evaluation of the sustainability of the four mines based on the mixed multi-criteria method. These evaluations, with the external conditions as a reference, evaluated the construction situation at a certain time node. Yet due to the different scale, output and technical level of mining enterprises, the development focuses on different directions. Only by evaluating the enterprise’s own construction situation and development trend can suggestions and countermeasures be put forward with strong applicability.
In view of the above discussion, there are still some research gaps in the existing literature. On the one hand, in the process of establishing the indicator system, in most studies, the internal relations between indicators were ignored, and only the influencing factors related to green mine construction in general were listed. On the other hand, most of the established evaluation models only evaluate and analyze the construction effect at a certain time point, but fail to focus on external comparison and ignore the change and development trend between years of the enterprise and the evaluation of the internal coordination of the system. The evaluation of the enterprise’s green mine construction is not comprehensive, and it is difficult to provide guidance for future construction and development.
With the increasing perfection of the research on the evaluation system and model of green mine construction, there still exist some deficiencies. In order to supplement the deficiencies of existing research, the DPSIR framework is applied in this paper to build an indicator system for the illustration of the mechanism of each element. In building the evaluation model, the subjective and objective combination weighting method is introduced so as to make the index weight meet the subjective expectations of the decision-makers and the objective judgment requirements of the inconsistency between the indicators, and based on time series, the driving forces, pressure, state, impact, response to each subsystem and the internal coordination of the system are comprehensively evaluated so that the main obstacles to the enterprise’s green mine construction are identified through evaluation and analysis. Finally, the applicability of the model is verified by an example mine for the scientificity of the evaluation of green mines. The purpose of this research is to improve the evaluation criteria of green mines, optimize the evaluation methods, and provide decision-making basis for the green development strategy of mining enterprises.
3. Materials and Methods
The index system is established on the DPSIR framework model, and the index is weighted by combining the subjective and objective combination weighting method. In evaluating the effectiveness of mine construction, the subsystems of the driving forces, pressure, state, impact, response and the overall green mine system are evaluated respectively with time as a sequence and the combination of TOPSIS evaluation method. At the same time, the internal coordination of the system is evaluated for the main obstacle factors affecting the enterprise construction. The evaluation process is shown in
Figure 2.
3.1. Index Decomposition Based on DPSIR Framework
In the DPSIR conceptual model, such factors as resources, society, economy, environment, technology and others are integrated into the indicator system, forming a close causal chain to clarify the interaction within the green mine system. The driving forces are adopted for the description of the potential power to promote the construction of green mines, in which the factors are included that promote enterprises to improve economic benefits. Pressure, as not only a specific human activity, but also a natural process, is mainly reflected in the production capacity of the mine and energy consumption in the production process and in the mine production activities on the ecological environment. The state is the current resource and environment situation of green mine construction. The impact, as the result of the interaction of the above three parameters, refers to the impact of green mine construction on the enterprise’s economy and image. Response, related to decision-making, aims to control driving factors to maintain status or gain improvement, and help adapt to the impact. On the basis of the principles of systematicness and independence, a green mine evaluation index system consisting of 5 first level indicators and 20 s level indicators is established.
Therefore, the evaluation index system of green mine construction is established in
Figure 3.
3.2. Calculation of Combination Weighting
After the establishment of the green mine evaluation index system, it is necessary to quantify the weight of each index. In this paper, AHP and CRITIC methods are applied in the subjective and objective combination weighting. The evaluation of green mines is a huge systematic project. The weight obtained from subjective factors alone is not operable, and the uncertainty in the expert evaluation process and the difference of index scores are not taken into consideration in the weight distribution. The evaluation results are one-sided and subjective. However, in the specific practice process, the CRITIC method can be used to obtain more objective index weights. With the combination of the two evaluation methods, reasonable weight of indicators can be achieved.
3.2.1. Determination of Subjective Weight by Analytic Hierarchy Process (AHP)
Analytic Hierarchy Process (AHP) is a multi-criteria decision analysis method proposed by Saaty in 1970 [
29]. In the multi-objective decision making, a qualitative way is mainly applied in evaluation with the analytic hierarchy process (AHP). In this method, the multi factor decision-making is transformed into a multi-level single factor problem to hierarchize the complex decision-making system, and to replace human subjective judgment with data expression [
30].
The specific evaluation steps are as follows:
- (1)
Establishment of the initial judgment matrix
In the analysis of the target problem, if there are
m evaluation objectives and each evaluation target has
n evaluation indicators, the judgment matrix will be constructed as follows:
where
D is the evaluation target;
and
are the evaluation scheme;
,
and
are the evaluation index;
represents the degree of importance of factor
i compared to factor
j, which is usually quantified from 1 to 9 scale in Analytic Hierarchy Process (see
Table 1).
- (2)
Normalization of judgment matrix
First, the data in the index system is processed by standardization processing for the indicators.
Then the weight coefficient is achieved with the standard judgment matrix.
where
and
is the index weight.
- (3)
Calculation of the eigenvalue
where
is the maximum eigenvalue of the judgment matrix.
where
represents the number of indicators. The corresponding
RI values are determined according to the judgment matrix order, as is shown in
Table 2.
Finally, the consistency proportion
CR was calculated:
when
CR < 0.1, the judgment matrix passed the consistency test; otherwise, it shows that it did not pass the test and the above procedure must be repeated until the requirement to meet the consistency test is achieved.
3.2.2. The Determination of the Objective Weight with the CRITIC Method
The CRITIC method, (Criteria Importance Through Inter-criteria Correlation method) as an objective weight empowerment method, considers not only the influence of the index variation degree on the weight, but also the conflict between the indicators [
31]. The degree of difference is expressed in the form of the standard deviation: the larger the standard deviation is, the larger the value difference is. The correlation is shown as the correlation coefficient, which has less conflict between the two features if there is a strong positive correlation. The method, combining the standard deviation and correlation coefficient, determines the amount of information contained in each attribute and thus achieves its weight [
32].
The collected data should be normalized before the weight analysis. The smaller the index value of cost index, the better; while the larger the index value of benefit index, the better. The standardization of the two types of indicators are as follows:
In the CRITIC weight analysis method, the Equation (10) is applied as a standard to measure the contradiction of the two indicators, and to indicate the amount of information contained in the first indicator
.
The correlation coefficient is:
In the Equation (13):
is the standard deviation;
is the average;
is the correlation coefficient;
x and
y are two sets of data;
and
and are the average of the two sets of data. Therefore, the bigger the number
is, the more information this index contains, and thus the higher the importance in the actual multi-objective decision model is shown and the greater the weight coefficient should be given. The index weight is calculated as follows:
3.2.3. Determination of Comprehensive Weight by AHP-CRITIC Method
The correlation is analyzed between the subjective weight calculated by AHP method and the objective weight by CRITIC method. If there is no relation (p > 0.05), it means that the contents reflected by the two methods are independent and unrepeatable.
As a method of subjective randomness, AHP method cannot fully reflect the scientific requirements, while as an objective method, CRITIC evaluation cannot reflect the experience and opinions despite a strong objectivity [
33]. Therefore, in order to show the influence of the subjective and objective weights, the subjective weight
obtained by AHP and the objective weight
by CRITIC method are applied to achieve the comprehensive weight
. (See Equation (15)).
With the consideration of the proportion of subjective and objective indicators in the evaluation practice of green mine construction, a value is set at 0.7, that is, the proportion of subjective weight used by AHP method is 0.7, and that by CRITIC method is set at 0.3.
3.3. Comprehensive Evaluation and Analysis
With the time series as the benchmark, first, the degree of green mine construction of the overall system and subsystems is evaluated through TOPSIS model. Then, the degree of coordination between the subsystems is evaluated with the coupling coordination model. Finally, through the obstacle degree function, the main obstacle factors in the enterprise’s production process are determined for the guidance of the enterprise to promote green mine construction.
3.3.1. TOPSIS Model
TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution), also known as the “ranking method of approaching ideal solutions”, was first proposed by C. L. Hwang and K Yoon in 1981, which mainly uses the distance principle to solve the common multi-objective decision-making analysis problems in life. That is, with the calculation of the European distance between different evaluation units and positive ideal solutions and negative ideal solutions, if the closer the result is to 1, the better the evaluation unit will be [
34].
The weight normalization matrix
S is calculated from the data obtained by normalization and the composite weight by combination weighting:
Next, the positive ideal solution
and negative ideal solution
of each index are determined:
Then, the sums of Euclidean distance and are calculated between each evaluation unit and positive and negative ideal solutions:
Distance of Positive ideal solution:
Distance of negative ideal solution:
Finally, the closeness is calculated:
where
represents the degree of green mine construction of the enterprise in the
i year: 0 ≤
≤ 1, meaning that the greater the
is, the better the degree of green mine construction will be. With this same method, the closeness of the five subsystems can be achieved.
3.3.2. Calculate the Coupling Co-Scheduling of All Subsystems
As a composite system with multiple subsystems coupling the green mine system is, in which the coupling coordination degree model in physics is introduced, so that the degree of interaction and interaction among the five subsystems of driving forces, pressure, state, impact and response can be quantitatively analyzed and calculated (
Table 3). The specific calculation formula is as follows:
where,
,
, and
respectively represent the closeness of driving forces, pressure, state, impact and response subsystems;
U is the coupling degree;
T is the degree of development;
a,
b,
c,
d, and
e represent the weight coefficients of the five criteria layers respectively; and
D refers to coupling coordination value.
3.3.3. Obstacle Function Model
As a mathematical model for obstacle diagnosis based on the deviation degree of indicators, the obstacle function is applied to determine the obstacle degree of each indicator by calculating the deviation degree between the indicator and the optimal value. Its advantages are that it is not affected by subjective factors, and its calculation amount is small, while its disadvantages are that it cannot reflect the dynamic changes of the targets [
35]. The introduction of the obstacle function model on the research is to identify the main obstacle factors affecting the green mine construction of enterprises:
where:
represents the obstacle degree of the
jth index in the
ith year, and
represents the weight of the index.
5. Conclusions
Based on the DPSIR framework model, in this paper a qualitative and quantitative evaluation index system is constructed for green mine construction, and it accurately shows the chain feedback mechanism as among the indicators of a green mine. In the construction of the evaluation model, with the combination of weights, the defect is improved that subjectivity affects the evaluation results in the traditional evaluation; based on TOPSIS method, the coordination of the green mine system and its subsystems is evaluated, and the coordination between the established index systems is more intuitively reflected; analyzes the obstacle factors in the process of green mine construction is analyzed in the research and the improvement direction for the green mine construction of enterprises put forward, making the evaluation model more practical.
With the comprehensive evaluation of a gold mine in Shaanxi, China, it is concluded that the comprehensive evaluation value of green mine construction of the mining enterprise increased from 0.171 to 0.770 in 2017–2021, and the system coupling coordination degree increased from 0.155 to 0.961, showing a trend of steady growth. In addition, combining with the obstacle function model, the obstacle factors for the development of the enterprise are determined, providing phased suggestions for the future development of the enterprise. Through evaluation and analysis, the feasibility of the evaluation index system and evaluation method applied in this paper is verified with the combination of theoretical research and case study.
The following aspects of this study still need to be further improved and supplemented. First of all, in the selection of evaluation indicators, only secondary indicators are adopted and 20 indicators are selected, which limits the reliability of the results to a certain extent. In the future research, the indicators can be further refined in combination with the characteristics of mining enterprises to make the evaluation more scientific and comprehensive. Secondly, in the aspect of satisfactory consistency test of analytic hierarchy process, the commonly used threshold is selected in this paper, and the views of other scholars are not analyzed or discussed. In the future research, it is necessary to establish satisfactory consistency test standards that adapt to the characteristics of mining enterprises so that the scientific accuracy of green mine evaluation can be improved.
Due to the limitation of natural environment and resource conditions and different characteristics of mining enterprises, further researches should be conducted on how to build a model to combine the internal evaluation and external comparison of mining enterprises more closely. The model, in improving the evaluation of green mine construction and providing countermeasures and suggestions for enterprises, is expected to offer a direction for future efforts on promoting the sustainable development of mining industry.