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Two-Stage Composition of Probabilistic Preferences

Author

Listed:
  • Annibal Parracho Sant’Anna

    (Fluminense Federal University)

  • Gilson Brito Alves Lima

    (Fluminense Federal University)

  • Leonardo Augusto da Fonseca Parracho Sant’Anna

    (Votorantim Energia)

  • Luiz Octávio Gavião

    (Brazilian War College, Fortaleza de São João)

Abstract

A strategy of multicriteria decision aid in which initial acceptance of all the alternatives is followed by an automatic classification of them is here proposed. This classification is used in the next step to limit to the alternatives in the upper class the comparisons employed to choose the best alternative. A procedure to perform the classification through successive divisions is proposed. It is also studied the replacement, in the calculation of the preference score according to each criterion, which is a central step in the Composition of Probabilistic Preferences, of the probability of being preferable simultaneously to all alternatives by the average of the probabilities of being preferable to each one. Another development brought is the calculation of preference probabilities based on empirical cumulative distributions, derived from the observed preference counts. Procedures for effectively bringing to practice each of these proposals are presented and the results of applying them to different practical situations are discussed.

Suggested Citation

  • Annibal Parracho Sant’Anna & Gilson Brito Alves Lima & Leonardo Augusto da Fonseca Parracho Sant’Anna & Luiz Octávio Gavião, 2020. "Two-Stage Composition of Probabilistic Preferences," Annals of Data Science, Springer, vol. 7(3), pages 491-523, September.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:3:d:10.1007_s40745-018-0177-9
    DOI: 10.1007/s40745-018-0177-9
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    References listed on IDEAS

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    1. Annibal Parracho Sant'Anna & Felipe Quintas Conde, 2011. "Probabilistic comparison of call centres in a group decision process," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 11(5/6), pages 417-437.
    2. Annibal Parracho Sant'Anna & Helder Gomes Costa & Valdecy Pereira, 2015. "CPP-TRI: a sorting method based on the probabilistic composition of preferences," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 7(3), pages 193-212.
    3. Durbach, Ian N. & Stewart, Theodor J., 2012. "Modeling uncertainty in multi-criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 223(1), pages 1-14.
    4. Emilio Gómez-Déniz & José María Sarabia, 2018. "A Family of Generalised Beta Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 5(3), pages 401-420, September.
    5. Anna, Petrenko, 2016. "Мaркування готової продукції як складова частина інформаційного забезпечення маркетингової діяльності підприємств овочепродуктового підкомплексу," Agricultural and Resource Economics: International Scientific E-Journal, Agricultural and Resource Economics: International Scientific E-Journal, vol. 2(01), March.
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