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Statistical Analysis of KEMIRA Type Weights Balancing Methods

Author

Listed:
  • Aleksandras KRYLOVAS

    (Department of Mathematical Modelling, Vilnius Gediminas Technical University)

  • Natalja KOSAREVA

    (Department of Mathematical Modelling, Vilnius Gediminas Technical University)

  • Edmundas Kazimieras ZAVADSKAS

    (Department of Construction Technology and Management, Vilnius Gediminas Technical University)

Abstract

The article analyzes Multiple Criteria Decision Making (MCDM) problem when there are two different groups of evaluating criteria. It was shown how criteria weights can be calculated according to weights balancing method by formulating optimization task. Case study of the small dimensions problem was solved by Kemeny Median Indicator Ranks Accordance (KEMIRA) method with options re-selection. Next, 8 various candidates sorting algorithms – 6 based on voting theory methods and 2 algorithms based on Kemeny median – were compared with each other. Monte Carlo experiments were conducted for the cases of 3-10 experts, 3-5 candidates and probability values of correct decision p=0.4-0.8. The highest percent of correct decisions and the lowest percent of failed voting procedures were demonstrated by algorithms based on Kemeny median.

Suggested Citation

  • Aleksandras KRYLOVAS & Natalja KOSAREVA & Edmundas Kazimieras ZAVADSKAS, 2016. "Statistical Analysis of KEMIRA Type Weights Balancing Methods," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 19-39, September.
    • Handle: RePEc:rjr:romjef:v::y:2016:i:3:p:19-39
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    References listed on IDEAS

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    1. Mostapha Diss, 2015. "Strategic manipulability of self-selective social choice rules," Annals of Operations Research, Springer, vol. 229(1), pages 347-376, June.
    2. Kaveh Madani & Laura Read & Laleh Shalikarian, 2014. "Voting Under Uncertainty: A Stochastic Framework for Analyzing Group Decision Making Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1839-1856, May.
    3. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    4. Mueller,Dennis C. (ed.), 1997. "Perspectives on Public Choice," Cambridge Books, Cambridge University Press, number 9780521553773, November.
    5. Fabrice Valognes & Vincent Merlin & Monica Tataru, 2002. "On the likelihood of Condorcet's profiles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 193-206.
    6. Hannu Nurmi & Tommi Meskanen, 2000. "Voting Paradoxes and MCDM," Group Decision and Negotiation, Springer, vol. 9(4), pages 297-313, July.
    7. Stergios Athanassoglou, 2015. "Multidimensional welfare rankings under weight imprecision: a social choice perspective," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 719-744, April.
    8. Lihi Naamani-Dery & Inon Golan & Meir Kalech & Lior Rokach, 2015. "Preference Elicitation for Group Decisions Using the Borda Voting Rule," Group Decision and Negotiation, Springer, vol. 24(6), pages 1015-1033, November.
    9. Yeonjoo Kim & Eun-Sung Chung, 2013. "Assessing climate change vulnerability with group multi-criteria decision making approaches," Climatic Change, Springer, vol. 121(2), pages 301-315, November.
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    Cited by:

    1. Pelin Toktaş & Gülin Feryal Can, 2019. "Stochastic KEMIRA-M Approach with Consistent Weightings," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 793-831, May.

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    More about this item

    Keywords

    Multiple Criteria Decision Making; KEMIRA method; Kemeny median; Monte Carlo method; voting theory;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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