| Literature DB >> 35682157 |
Zheng Yuan1,2, Baohua Wen1,2, Cheng He1,2, Jin Zhou1,2, Zhonghua Zhou1,2, Feng Xu1,2.
Abstract
The rational allocation of spatial resources is an important factor to ensure the sustainable development of rural areas, and effective pre-emptive spatial evaluation is the prerequisite for identifying the predicament of rural resource allocation. Multi-criteria decision-making analysis has advantages in solving multi-attribute and multi-objective decision-making problems, and has been used in sustainability evaluation research in various disciplines in recent years. Previous studies have proved the value of spatial evaluation using multi-criteria decision analysis in guiding rural incremental development and inventory updates, but systematic reviews of the previous literature from a multidisciplinary perspective and studies of the implementation steps of the evaluation framework are lacking. In the current paper, the research is reviewed from the two levels of quantitative statistics and research content, and through vertical and horizontal comparisons based on three common operating procedures: standard formulation, weight distribution, and ranking and verification. Through the results, the application status and characteristics of the MCDA method in related research are determined, and five research foci in the future are proposed.Entities:
Keywords: multi-criteria decision-making; research review; rural areas; spatial evaluation; sustainability
Mesh:
Year: 2022 PMID: 35682157 PMCID: PMC9180611 DOI: 10.3390/ijerph19116572
Source DB: PubMed Journal: Int J Environ Res Public Health ISSN: 1660-4601 Impact factor: 4.614
Summary of existing related reviews based on the MCDA method.
| Ref. | Number of Documents | Time Period | MCDA Types | Analysis Method | Research Focus | Findings |
|---|---|---|---|---|---|---|
| [ | 69 | 2000–2019 | 26 (including compound methods) | Cluster analysis | Rural land resource allocation | Status and trends |
| [ | 46 (MCDA apllied)/84 | 2000–2020 | 10 | Cluster analysis | Location of flood hazard/susceptible regions | Observations and recommendations |
Figure 1Operation process and system composition of MCDA.
Classification of MCDA methods based on functional perspective.
| Method | Function | Introduction | Ref. |
|---|---|---|---|
| AHP | Subjective weight | AHP was first developed by Saaty (1980). It consists of a pairwise comparison, using relative values of criteria (weights) and a score scale on alternatives against criteria. | [ |
| ANP | Subjective weight | The analysis process of ANP and AHP is roughly the same, but in contrast to the one-way process of AHP, ANP has a feedback mechanism. | [ |
| BP network | Objective weight | BP network is a type of supervised network based on error back-propagation. Through the calculation and feedback of input information, output information, and the error, the weights of neurons in each layer of the BP network can be modified to obtain the minimum error signal and form the final network model. The learning process of the neural network is mainly the updating process of weights. | [ |
| BWM | Subjective weight | BWM can obtain weights for different criteria based on pairwise comparisons, requiring less comparison data. Quite differently from AHP, BWM only performs reference comparisons, which means it only needs to use numbers between 1 and 9 to determine the preference of the best criterion over all other criteria and the preference of all criteria over the worst criterion. This process is easier, more accurate, and less redundant because it does not perform quadratic comparisons. | [ |
| DEA | Objective weight | DEA is a nonparametric productivity measure for multiple-input and multiple-output operations. The method combines and converts multiple inputs and outputs into a single efficiency metric. This approach first establishes an “efficient frontier” formed by a set of decision-making units (DMUs) exhibiting best practices, and then assigns efficiency levels to other non-boundary units based on their distances to the efficient frontier. Finally, the efficiency level of each object is obtained. | [ |
| Delphi | Objective weight | The Delphi method is a systematic, interactive method that relies on a group of independent experts. Based on this principle, Delphi uses carefully selected experts to answer questionnaires to determine weights. After each round, the summary of the previous round of expert selection and the reasons for their judgment will be fed back to the experts. During this process, the floating range of the weights will shrink and gradually converge towards the “correct” weights. Finally, the process is stopped according to predefined rules. | [ |
| DEMATEL | Ranking | DEMATEL is considered for an effective method for identifying the components of the causal chain of complex systems. It handles the interdependencies among the evaluation factors and finds the key factors through a visual structural model. The DEMATEL technique can convert the interrelationships between factors into an understandable structural model of the system and divide it into cause and effect groups. Its operation consists of four steps: 1. establish an influence matrix; 2. create a normalized matrix; 3. build a total influence matrix; 4. generate an influence graph. | [ |
| ELECTRE | Ranking | ELECTRE is a technique for selecting the best alternative from a given set of alternatives. It uses pairwise comparisons of alternatives and sets ranking relationships on them. For example, if a is at least as good as b for criterion i, then alternative a is ranked higher than the alternative b. The ELECTRE tool has evolved over time into different sequential versions, such as ELECTRE I, II, III, IV, and ELECTRE TRI. | [ |
| Entropy | Objective weight | Information entropy is a measure of the degree of disorder in a system. It can measure the amount of useful information with the data provided. When the value difference between the evaluation objects of the same indicator is large, but the entropy is small, it means that the indicator provides more useful information, and the weight of the indicator should be set correspondingly high. | [ |
| Fuzzy | Subjective weight | Due to the availability and uncertainty of information, as well as the ambiguity of human perception and cognition, most selection parameters cannot be given accurately. The fuzzy set provides a mathematical model to determine the membership degree of each element to the set, so that the applicability evaluation data of various subjective standards and the weight of the standard are converted into numerical values by the language of the decision maker. | [ |
| Grey relation | Ranking | The grey relational method is a branch of grey system theory developed in 1980. The method is similar to TOPSIS, which defines the grey relational degree to represent the closeness between the alternatives. Typically, ideal scenarios are defined and the degree of relevance of alternatives to them is calculated. The most relevant alternative has the shortest distance from the ideal solution and the longest distance from the worst solution. | [ |
| MAVT (MAUT) | Ranking | MAUT is a systematic approach that takes into account decision makers’ preferences in the form of a utility function defined over a set of attributes. Its functional form is determined by applying preference validation and setting certain utility-independent conditions. The formula is extended to derive a multi-attribute utility function. | [ |
| OWA | Ranking | The OWA method is similar to WLC, but considers two sets of weights. The first set of weights controls the relative contributions of specific criteria, and the second set of weights controls the order in which the weighted criteria are aggregated. The advantage of OWA is that a variety of different solutions and forecast scenarios can be generated by reordering and changing standard parameters. | [ |
| PCA | Objective weight | The modeling properties of PCA are largely rooted in regression thinking: variation explained by principal components. After introducing the idea of linear combination of variables, the change in principal components is emphasized. When there is a certain correlation between the two variables, it can be explained that the information of the two variables reflecting the subject overlaps to a certain extent. Principal component analysis is to delete duplicate or irrelevant variables for all the variables originally proposed, and establish as few new variables as possible, so that these new variables are unrelated to each other. Finally, the importance of the variable is obtained. | [ |
| PCM | Subjective weight | In the pairwise comparison method, participants are presented with a worksheet and asked to compare the importance of two criteria at a time. The scoring scale can be varied, for example, an odd scale of 1 to 9 is often used. Results are combined by adding the scores obtained for each criterion, when the preferred criterion is compared with the criterion to which it is compared. The results are then normalized to a total of 1.0. | [ |
| Regime | Ranking | The regime method is a discrete multiple evaluation method suitable for evaluating projects and policies by processing qualitative and quantitative information. It uses pairwise comparisons to evaluate the performance of alternatives and establishes ranking relationships among alternatives. The framework of the method is based on two kinds of input data: an influence matrix and a set of weights. | [ |
| SAW | Ranking | The SAW method, originally applied by Charles (1954), is one of the most commonly used MCDM techniques. The method performs a simple multi-product summation of each criterion score through the corresponding attribute weights to find an overall performance measure for each alternative. | [ |
| SWOT | Ranking | SWOT analysis is a common tool for strategic planning and a form of brainstorming. It helps organizations better understand their internal and external business environment when making strategic plans and decisions by analyzing and locating their resources and environments in terms of four areas: strengths, weaknesses, opportunities, and threats. | [ |
| TOPSIS | Ranking | TOPSIS means that the optimal selection scheme has the shortest Euclidean distance from the ideal solution and the largest distance from the negative ideal solution. Intuitively, based on the distance from the ideal solution, the method can take any number of attributes as input. However, TOPSIS can produce unreliable results, and it also does not account for the uncertainty of the weights. | [ |
| TOWS | Ranking | TOWS matrix is a derivative type of SWOT. In contrast to the SWOT method, TOWS focuses more on the solution strategy obtained through the situation analysis. The matrix includes four strategies: WT, WO, ST, and SO. | [ |
| VIKOR | Ranking | The VIKOR method is similar to the TOPSIS method in that both are based on distance measurements. In contrast to the strict sorting of TOPSIS, VIKOR seeks a compromise solution. The VIKOR method can also provide clustering capabilities when faced with alternatives. | [ |
| WASPAS | Ranking | The WASPAS method combines the historical data and current data, and adds the weighted sum model (WSM) and the weighted product model (WPM) to determine the decision target under the corresponding decision criterion. | [ |
| WLC | Ranking | WLC is an evaluation function method, and is a method of solving multi-objective/attribute programming problems by assigning corresponding weight coefficients to each objective according to its importance, and then optimizing its linear combination. | [ |
Figure 2The structure of the research.
Bibliographic database source characteristics.
| Type | Feature | Search Result | Strength | Weakness | Publisher | Ref. |
|---|---|---|---|---|---|---|
| Web of Science (WOS) | An interdisciplinary platform with many scientific databases | Advanced search function | Search function with wide selectable categories | Moderate coverage of interdisciplinary journals | Clarivate Analytics | [ |
| Scopus | Natural Sciences, Engineering, Social Sciences, Biomedical Sciences, Arts and Humanities | Advanced search function | Search function with wide selectable categories | Difficult to obtain the full text of some documents | Elsevier | [ |
| Science Direct (SD) | Natural Science, Technology and Medicine | Normal search function | Easy to search articles by journal | Higher data repeatability with Scopus | Elsevier | [ |
| Google Scholar | All subject areas | Simple search function | Contains almost all types of files | Few sorting options | [ | |
| China National Knowledge Infrastructure (CNKI) | An interdisciplinary platform with many scientific databases | Advanced search function | Search function with wide selectable categories | Chinese literature dominates | Tsinghua University/Tongfang Co., Ltd. | [ |
Figure 3(a) Trend of published articles based on publication year; (b) distribution of journal publications and citations. The orange bar represents the number of citations, and the blue bar represents the number of publications.
Figure 4Distribution of publications based on country/area.
Summary of important authors and institutions in related fields.
| Author | Institution | Times of Citations | Number of Papers | Publication Year |
|---|---|---|---|---|
| Jin SuJeong * | University of Merida, Spain | 137 | 4 | 2012 (46), 2014 (55), 2015 (16), 2018 (20) |
| LorenzoGarcía-Moruno | University of Merida, Spain | 91 | 3 | 2014 (55), 2014 (26), 2015 (16) |
| JulioHernández-Blanco | Universidad de Extremadura, Spain | 71 | 2 | 2014 (55), 2015 (16) |
| Xu, Xiaodong | Southeast University, China | 8 | 2 | 2018 (3), 2019 (5) |
| Ren, Guoping * | China Agricultural University, China | 25 | 2 | 2018 (25), 2021 (0) |
| Liu, Liming | China Agricultural University, China | 25 | 2 | 2018 (25), 2021 (1) |
Figure 5Distribution of publications based on research areas.
Figure 6Keywords occurrence and clustering by VOSviewer 1.6.17.
Summary of research topics.
| No. | Research Topics | Number | Ref. |
|---|---|---|---|
| 1 | Land use | 22 | [ |
| 2 | Site selection | 19 | [ |
| 3 | Urban–rural planning | 19 | [ |
| 4 | Tourism | 17 | [ |
| 5 | Conservation | 14 | [ |
| 6 | Habitat | 12 | [ |
Figure 7Sankey diagram of year, unit range, and research topic distribution.
Figure 8The annual distribution of occurrences of the MCDA methods. The size of the bubble and the number in the bubble indicate the number of times the method was used in the corresponding year.
Figure 9The annual distribution of the proportion of criteria categories.
Figure 10The topic distribution of the proportion of criteria.
Summary of criteria other than economy, society, and environment.
| No. | Research Topics | The Content of the Other Criteria |
|---|---|---|
| 1 | Land use | Aspect, Slope, Soil fertility, Precipitation |
| [ | ||
| 2 | Site selection | Geology Professional Indicators, Technology and Policy Elements |
| [ | ||
| 3 | Urban–rural planning | Culture, Form, Function, Location Accessibility |
| [ | ||
| 4 | Tourism | Aesthetic effect, Cultural heritage, Agricultural entertainment, Information construction |
| [ | ||
| 5 | Conservation | Management ability, Physical basis, Technology and Policy |
| [ | ||
| 6 | Habitat | Culture, Form, Function, Location Accessibility |
| [ |
Figure 11The annual distribution of the proportion of index categories.
Figure 12The topic distribution of the proportion of index categories.
Summary of index content.
| Proportion | Quantity | Area | Distance | |
|---|---|---|---|---|
| Land use | Funding, Time, Correlation, Covering, Population, Resource, Development | Appliance, Facility, Production, Time, Pollution, Funding, Resource, Training Committee | Farm, Location, Water, Soil | Road, Facility, Location, Transportation hub, Water, Forest, Grid, City |
| [ | [ | [ | [ | |
| Site selection | Covering, Development | Funding, Time, Resource, Disaster, Development | Farm, Location, Zone, Water, Soil | Community, Road, Facility, Location, Transportation hub, Water, Forest, Grid |
| [ | [ | [ | [ | |
| Urban–rural planning | Funding, Correlation, Covering, Building, Population, Development | Appliance, Facility, Location, Building, Production, Pollution, Funding, Resource, | Farm, Location, Zone, Water, Soil, Landscape | Road, Facility, Location, Transportation hub, City, County |
| [ | [ | [ | [ | |
| Tourism | Funding, Covering, Building, Population, Development | Facility, Location, Building, City, County, | Location, Zone, Water, Soil, Landscape | Road, Facility, Location, City, County |
| [ | [ | [ | [ | |
| Conservation | Funding, Covering, Population, Resource, Development | Appliance, Facility, Location, Building, Culture, Funding, Committee | Resource, Location, Zone, Water, Soil, Landscape | Road, Facility, Location, Transportation hub, Water, Forest, |
| [ | [ | [ | [ | |
| Habitat | Pollution, Population, Production, Covering, Building, Road, Resource, Space, Development | Appliance, Facility, Location, Building, Culture | Zone, Landscape | Road, Facility, Location, City, Transportation hub, Water, Forest, |
| [ | [ | [ | [ |
Figure 13The annual distribution of occurrences of the weighting methods.
Figure 14The topic distribution of the proportion of weighting methods.
Summary of comprehensive weighting methods.
| Types | Methods | Ref. |
|---|---|---|
| Subjective and Objective Weight | Delphi + AHP + Entropy | [ |
| Delphi + PCM + Entropy | [ | |
| Entropy + AHP | [ | |
| Multiple Subjective Weights | ANP + AHP + Fuzzy | [ |
| AHP + PCM | [ | |
| Delphi + AHP | [ | |
| Delphi + ANP | [ | |
| Delphi + DEMATEL + ANP | [ | |
| Delphi + Fuzzy + AHP | [ | |
| Delphi + PCM | [ | |
| Delphi + PCM + AHP | [ | |
| DEMATEL + ANP | [ | |
| PFS + AHP | [ | |
| MC − SDSS | [ |
Figure 15The annual distribution of occurrences of the ranking methods.
Figure 16The topic distribution of the proportion of ranking methods.
Summary of the proportion of aggregation methods.
| NO. | Aggregation Method | Ratio | Ref. |
|---|---|---|---|
| 1 | Hard Mathematical method | 75.73% | [ |
| 2 | Soft Mathematical method | 14.48% | [ |
| 3 | Voting method | 3.88% | [ |
| 4 | N/A | 2.91% | [ |
Figure 17The topic distribution of the proportion of verification methods.