Environmental Science and Pollution Research

, Volume 25, Issue 17, pp 16885–16899 | Cite as

Mixed strategy to allocate resources with air pollution treatment in China: based on the analytic network process and large-group decision-making method

  • Xi Chen
  • Liu Zhao
  • Mujgan Sagir Özdemir
  • Haiming Liang
Research Article


The resource allocation of air pollution treatment in China is a complex problem, since many alternatives are available and many criteria influence mutually. A number of stakeholders participate in this issue holding different opinions because of the benefits they value. So a method is needed, based on the analytic network process (ANP) and large-group decision-making (LGDM), to rank the alternatives considering interdependent criteria and stakeholders’ opinions. In this method, the criteria related to air pollution treatment are examined by experts. Then, the network structure of the problem is constructed based on the relationships between the criteria. Further, every participant in each group provide comparison matrices by judging the importance between criteria according to dominance, regarding a certain criteria (or goal), and the geometric average comparison matrix of each group is obtained. The decision weight of each group is derived by combining the subjective weight and the objective weight, in which the subjective weight is provided by organizers, while the objective weight is determined by considering the consensus levels of groups. The final comparison matrices are obtained by the geometric average of comparison matrices and the decision weights. Next, the resource allocation is made according to the priorities of the alternatives using the super decision software. Finally, an example is given to illustrate the use of the proposed method.


Air pollution Resource allocation Analytic network process Large-group decision-making Decision weight Alternative selection 



This work was partly supported by the National Science Foundation of China (grant numbers 71473188 and 71601133), the Natural Science Basic Research Plan in Shaanxi Province of China (grant number 2017JM7001), and the Fundamental Research Funds for the Central Universities (grant numbers JB170606 and XJS17004). The authors are very grateful to Professor Thomas L. Saaty for his constructive guide, suggestions, and modifications that led to form and improve this paper in Pittsburgh. This paper is also with great remembrance to my dear research supervisor Professor Thomas L. Saaty.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Xi Chen
    • 1
  • Liu Zhao
    • 1
  • Mujgan Sagir Özdemir
    • 2
  • Haiming Liang
    • 1
  1. 1.Department of Management Engineering, School of Economics and ManagementXidian UniversityXi’anChina
  2. 2.Industrial Engineering Department, Engineering FacultyEskişehir Osmangazi UniversitesiEskişehirTurkey

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