IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v17y2020i11p3891-d365269.html
   My bibliography  Save this article

Visibility Graph Power Geometric Aggregation Operator and Its Application in Water, Energy and Food Efficiency Evaluation

Author

Listed:
  • Lihua Liu

    (Business School, Hohai University, Nanjing 211100, China)

  • Jing Huang

    (Business School, Hohai University, Nanjing 211100, China)

  • Huimin Wang

    (Business School, Hohai University, Nanjing 211100, China)

Abstract

In the real decision-making process, there are so many time series values that need to be aggregated. In this paper, a visibility graph power geometric (VGPG) aggregation operator is developed, which is based on the complex network and power geometric operator. Time series data are converted into a visibility graph. A visibility matrix is developed to denote the links among different time series values. A new support function based on the distance of two values are proposed to measure the support degree of each other when the two time series values have visibility. The VGPG operator considers not only the relationship but also the similarity degree between two values. Meanwhile, some properties of the VGPG operator are also investigated. Finally, a case study for water, energy, and food coupling efficiency evaluation in China is illustrated to show the effectiveness of the proposed operator. Comparative analysis with the existing research is also offered to show the advantages of the proposed method.

Suggested Citation

  • Lihua Liu & Jing Huang & Huimin Wang, 2020. "Visibility Graph Power Geometric Aggregation Operator and Its Application in Water, Energy and Food Efficiency Evaluation," IJERPH, MDPI, vol. 17(11), pages 1-16, May.
    • Handle: RePEc:gam:jijerp:v:17:y:2020:i:11:p:3891-:d:365269
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/17/11/3891/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1660-4601/17/11/3891/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liangping Wu & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas," IJERPH, MDPI, vol. 17(3), pages 1-31, January.
    2. Ahmadlou, Mehran & Adeli, Hojjat & Adeli, Amir, 2012. "Improved visibility graph fractality with application for the diagnosis of Autism Spectrum Disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4720-4726.
    3. Wang, Na & Li, Dong & Wang, Qiwen, 2012. "Visibility graph analysis on quarterly macroeconomic series of China based on complex network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6543-6555.
    4. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    5. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
    6. Shouzhen Zeng & Dandan Luo & Chonghui Zhang & Xingsen Li, 2020. "A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 343-358, February.
    7. Gutin, Gregory & Mansour, Toufik & Severini, Simone, 2011. "A characterization of horizontal visibility graphs and combinatorics on words," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2421-2428.
    8. Lee, Hsing-Chen & Chang, Ching-Ter, 2018. "Comparative analysis of MCDM methods for ranking renewable energy sources in Taiwan," Renewable and Sustainable Energy Reviews, Elsevier, vol. 92(C), pages 883-896.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Shiyu & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "A visibility graph averaging aggregation operator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 1-12.
    2. Xu, Paiheng & Zhang, Rong & Deng, Yong, 2018. "A novel visibility graph transformation of time series into weighted networks," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 201-208.
    3. Tang, Jinjun & Wang, Yinhai & Wang, Hua & Zhang, Shen & Liu, Fang, 2014. "Dynamic analysis of traffic time series at different temporal scales: A complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 303-315.
    4. Askoura, Youcef & Billot, Antoine, 2021. "Social decision for a measure society," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    5. Ehud Kalai & Roger B. Myerson, 1977. "Values of Games Without Sidepayments," Discussion Papers 267, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Jeffrey T. Macher & John W. Mayo & Olga Ukhaneva & Glenn A. Woroch, 2017. "From universal service to universal connectivity," Journal of Regulatory Economics, Springer, vol. 52(1), pages 77-104, August.
    7. Mark Kelman & Tamar Admati Kreps, 2014. "Playing with Trolleys: Intuitions About the Permissibility of Aggregation," Journal of Empirical Legal Studies, John Wiley & Sons, vol. 11(2), pages 197-226, June.
    8. Fredrik Carlsson & Dinky Daruvala & Olof Johansson‐Stenman, 2005. "Are People Inequality‐Averse, or Just Risk‐Averse?," Economica, London School of Economics and Political Science, vol. 72(287), pages 375-396, August.
    9. Antoinette Baujard, 2016. "Utilitarianism and anti-utilitarianism," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 40, pages 576-588, Edward Elgar Publishing.
    10. Feng, Jianghong & Guo, Ping & Xu, Guangyi & Xu, Gangyan & Ning, Yu, 2024. "An integrated decision framework for resilient sustainable waste electric vehicle battery recycling transfer station site selection," Applied Energy, Elsevier, vol. 373(C).
    11. Elodie Brahic & Jean-Michel Salles, 2008. "La question de l’équité dans l’allocation initiale des permis d’émission dans le cadre des politiques de prévention du changement climatique : Une étude quasi-expérimentale," Working Papers 08-11, LAMETA, Universtiy of Montpellier, revised Jul 2008.
    12. Hans Gersbach, 2004. "Fiscal Constitutions," Constitutional Political Economy, Springer, vol. 15(1), pages 3-25, March.
    13. Paulo B. Brito, 2022. "The dynamics of growth and distribution in a spatially heterogeneous world," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 311-350, September.
    14. Medin, Hege & Nyborg, Karine & Bateman, Ian, 2001. "The assumption of equal marginal utility of income: how much does it matter?," Ecological Economics, Elsevier, vol. 36(3), pages 397-411, March.
    15. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 2009. "Temptation-Driven Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 937-971.
    16. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    17. Eric Danan & Thibault Gajdos & Jean-Marc Tallon, 2015. "Harsanyi's Aggregation Theorem with Incomplete Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 61-69, February.
    18. Jean Baccelli & Philippe Mongin, 2016. "Choice-based cardinal utility: a tribute to Patrick Suppes," Journal of Economic Methodology, Taylor & Francis Journals, vol. 23(3), pages 268-288, July.
    19. Bezsudnov, I.V. & Snarskii, A.A., 2014. "From the time series to the complex networks: The parametric natural visibility graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 53-60.
    20. Che-Yuan Liang, 2017. "Optimal inequality behind the veil of ignorance," Theory and Decision, Springer, vol. 83(3), pages 431-455, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jijerp:v:17:y:2020:i:11:p:3891-:d:365269. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.