IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i24p3203-d700164.html
   My bibliography  Save this article

Comprehensible Visualization of Multidimensional Data: Sum of Ranking Differences-Based Parallel Coordinates

Author

Listed:
  • Ádám Ipkovich

    (MTA-PE “Lendület” Complex Systems Monitoring Research Group, University of Pannonia, Egyetem u. 10, H-8200 Veszprem, Hungary)

  • Károly Héberger

    (ELKH Research Centre for Natural Sciences, Institute of Excellence of the Hungarian Academy of Sciences, Magyar Tudósok Krt. 2, H-1117 Budapest, Hungary)

  • János Abonyi

    (MTA-PE “Lendület” Complex Systems Monitoring Research Group, University of Pannonia, Egyetem u. 10, H-8200 Veszprem, Hungary)

Abstract

A novel visualization technique is proposed for the sum of ranking differences method (SRD) based on parallel coordinates. An axis is defined for each variable, on which the data are depicted row-wise. By connecting data, the lines may intersect. The fewer intersections between the variables, the more similar they are and the clearer the figure becomes. Therefore, the visualization depends on what techniques are used to order the variables. The key idea is to employ the SRD method to measure the degree of similarity of the variables, establishing a distance-based order. The distances between the axes are not uniformly distributed in the proposed visualization; their closeness reflects similarity, according to their SRD value. The proposed algorithm identifies false similarities through an iterative approach, where the angles between the SRD values determine which side a variable is plotted. Visualization of the algorithm is provided by MATLAB/Octave source codes. The proposed tool is applied to study how the sources of greenhouse gas emissions can be grouped based on the statistical data of the countries. A comparison to multidimensional scaling (MDS)-based ordering is also given. The use case demonstrates the applicability of the method and the synergies of the incorporation of the SRD method into parallel coordinates.

Suggested Citation

  • Ádám Ipkovich & Károly Héberger & János Abonyi, 2021. "Comprehensible Visualization of Multidimensional Data: Sum of Ranking Differences-Based Parallel Coordinates," Mathematics, MDPI, vol. 9(24), pages 1-17, December.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3203-:d:700164
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/24/3203/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/24/3203/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sziklai, Balázs R., 2021. "Ranking institutions within a discipline: The steep mountain of academic excellence," Journal of Informetrics, Elsevier, vol. 15(2).
    2. Balázs R Sziklai & Károly Héberger, 2020. "Apportionment and districting by Sum of Ranking Differences," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-20, March.
    3. Gyula Dörgő & Viktor Sebestyén & János Abonyi, 2018. "Evaluating the Interconnectedness of the Sustainable Development Goals Based on the Causality Analysis of Sustainability Indicators," Sustainability, MDPI, vol. 10(10), pages 1-26, October.
    4. Trainer, Ted, 2017. "Some problems in storing renewable energy," Energy Policy, Elsevier, vol. 110(C), pages 386-393.
    5. Durán-Romero, Gemma & López, Ana M. & Beliaeva, Tatiana & Ferasso, Marcos & Garonne, Christophe & Jones, Paul, 2020. "Bridging the gap between circular economy and climate change mitigation policies through eco-innovations and Quintuple Helix Model," Technological Forecasting and Social Change, Elsevier, vol. 160(C).
    6. Miimu Airaksinen & Pellervo Matilainen, 2011. "A Carbon Footprint of an Office Building," Energies, MDPI, vol. 4(8), pages 1-14, August.
    7. Hinrichs-Rahlwes, Rainer, 2013. "Renewable energy: Paving the way towards sustainable energy security," Renewable Energy, Elsevier, vol. 49(C), pages 10-14.
    8. Mikhail Sofiev & James J. Winebrake & Lasse Johansson & Edward W. Carr & Marje Prank & Joana Soares & Julius Vira & Rostislav Kouznetsov & Jukka-Pekka Jalkanen & James J. Corbett, 2018. "Cleaner fuels for ships provide public health benefits with climate tradeoffs," Nature Communications, Nature, vol. 9(1), pages 1-12, December.
    9. Junayed Pasha & Maxim A. Dulebenets & Masoud Kavoosi & Olumide F. Abioye & Oluwatosin Theophilus & Hui Wang & Raphael Kampmann & Weihong Guo, 2020. "Holistic tactical-level planning in liner shipping: an exact optimization approach," Journal of Shipping and Trade, Springer, vol. 5(1), pages 1-35, December.
    10. Stephan, André & Crawford, Robert H. & de Myttenaere, Kristel, 2013. "A comprehensive assessment of the life cycle energy demand of passive houses," Applied Energy, Elsevier, vol. 112(C), pages 23-34.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ferenc Bognár & Csaba Hegedűs, 2022. "Analysis and Consequences on Some Aggregation Functions of PRISM (Partial Risk Map) Risk Assessment Method," Mathematics, MDPI, vol. 10(5), pages 1-19, February.

    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. Capellán-Pérez, Iñigo & Campos-Celador, Álvaro & Terés-Zubiaga, Jon, 2018. "Renewable Energy Cooperatives as an instrument towards the energy transition in Spain," Energy Policy, Elsevier, vol. 123(C), pages 215-229.
    2. Emanuele Bonamente & Franco Cotana, 2015. "Carbon and Energy Footprints of Prefabricated Industrial Buildings: A Systematic Life Cycle Assessment Analysis," Energies, MDPI, vol. 8(11), pages 1-17, November.
    3. Colclough, Shane & McGrath, Teresa, 2015. "Net energy analysis of a solar combi system with Seasonal Thermal Energy Store," Applied Energy, Elsevier, vol. 147(C), pages 611-616.
    4. Abd Alla, Sara & Bianco, Vincenzo & Tagliafico, Luca A. & Scarpa, Federico, 2020. "Life-cycle approach to the estimation of energy efficiency measures in the buildings sector," Applied Energy, Elsevier, vol. 264(C).
    5. Galadima, Ahmad & Muraza, Oki, 2019. "Catalytic thermal conversion of CO2 into fuels: Perspective and challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 115(C).
    6. Fabio De Felice & Antonella Petrillo, 2021. "Green Transition: The Frontier of the Digicircular Economy Evidenced from a Systematic Literature Review," Sustainability, MDPI, vol. 13(19), pages 1-26, October.
    7. Efraim Hernández-Orozco & Ivonne Lobos-Alva & Mario Cardenas-Vélez & David Purkey & Måns Nilsson & Piedad Martin, 2022. "The application of soft systems thinking in SDG interaction studies: a comparison between SDG interactions at national and subnational levels in Colombia," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(6), pages 8930-8964, June.
    8. Escribano Francés, Gonzalo & Marín-Quemada, José María & San Martín González, Enrique, 2013. "RES and risk: Renewable energy's contribution to energy security. A portfolio-based approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 26(C), pages 549-559.
    9. Ruparathna, Rajeev & Hewage, Kasun & Sadiq, Rehan, 2016. "Improving the energy efficiency of the existing building stock: A critical review of commercial and institutional buildings," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 1032-1045.
    10. Pamučar, Dragan & Durán-Romero, Gemma & Yazdani, Morteza & López, Ana M., 2023. "A decision analysis model for smart mobility system development under circular economy approach," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
    11. Joana Costa & Inês Amorim & João Reis & Nuno Melão, 2023. "User communities: from nice-to-have to must-have," Journal of Innovation and Entrepreneurship, Springer, vol. 12(1), pages 1-35, December.
    12. Li, Lingyue & Gao, Suixiang & Yang, Wenguo & Xiong, Xing, 2021. "Assessment and improvement of EPA's penalty policy: From the perspective of governments' and ships' behaviors," Transport Policy, Elsevier, vol. 104(C), pages 18-28.
    13. Abdur Rehman Mazhar & Shuli Liu & Ashish Shukla, 2018. "A Key Review of Non-Industrial Greywater Heat Harnessing," Energies, MDPI, vol. 11(2), pages 1-34, February.
    14. Rahman, Md Momtazur & Khan, Imran & Field, David Luke & Techato, Kuaanan & Alameh, Kamal, 2022. "Powering agriculture: Present status, future potential, and challenges of renewable energy applications," Renewable Energy, Elsevier, vol. 188(C), pages 731-749.
    15. Nattaya Sangngamratsakul & Kuskana Kubaha & Siriluk Chiarakorn, 2024. "Embodied Energy Coefficient Quantification and Implementation for an Energy-Conservative House in Thailand," Sustainability, MDPI, vol. 16(10), pages 1-20, May.
    16. Kimberly Bawden & Eric Williams, 2015. "Hybrid Life Cycle Assessment of Low, Mid and High-Rise Multi-Family Dwellings," Challenges, MDPI, vol. 6(1), pages 1-19, April.
    17. Kong, Minjin & Ji, Changyoon & Hong, Taehoon & Kang, Hyuna, 2022. "Impact of the use of recycled materials on the energy conservation and energy transition of buildings using life cycle assessment: A case study in South Korea," Renewable and Sustainable Energy Reviews, Elsevier, vol. 155(C).
    18. Yin, Yanhong & Aikawa, Kohei & Mizokami, Shoshi, 2016. "Effect of housing relocation subsidy policy on energy consumption: A simulation case study," Applied Energy, Elsevier, vol. 168(C), pages 291-302.
    19. Carine Lausselet & Johana Paola Forero Urrego & Eirik Resch & Helge Brattebø, 2021. "Temporal analysis of the material flows and embodied greenhouse gas emissions of a neighborhood building stock," Journal of Industrial Ecology, Yale University, vol. 25(2), pages 419-434, April.
    20. Carlos de Castro & Iñigo Capellán-Pérez, 2020. "Standard, Point of Use, and Extended Energy Return on Energy Invested (EROI) from Comprehensive Material Requirements of Present Global Wind, Solar, and Hydro Power Technologies," Energies, MDPI, vol. 13(12), pages 1-43, June.

    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:jmathe:v:9:y:2021:i:24:p:3203-:d:700164. 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.