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Additive Model for Aggregation in the Context of MAVT

In: Multi-Criteria Decision Making with Partial Preference Information

Author

Listed:
  • Adiel Teixeira de Almeida

    (Federal University of Pernambuco)

  • Eduarda Asfora Frej

    (Federal University of Pernambuco)

  • Lucia Reis Peixoto Roselli

    (Federal University of Pernambuco)

  • Jônatas Araújo de Almeida

    (Federal University of Pernambuco)

  • Ana Paula Cabral Seixas Costa

    (Federal University of Pernambuco)

  • Danielle Costa Morais

    (Federal University of Pernambuco)

Abstract

The additive model is one of the models most applied for aggregating criteria in MCDM/A methods for problems with explicit alternatives and it is supported by Multi-Attribute Value Theory (MAVT). MAVT has a set of axioms that are presented with the basic property of the preference independence condition for the additive model. Procedures for eliciting criteria weights (also called scale constants) are presented for methods with complete preference information, along with several MCDM/A methods. Moreover, a warning is given regarding common mistakes and misinterpretations concerning scale constants. Other aspects related to using additive-based methods are presented, including the type of scales applied to the marginal value function, the additive-veto-model and an issue related to using additive models for the portfolio problematic, in which a size effect causes the wrong solution to be selected.

Suggested Citation

  • Adiel Teixeira de Almeida & Eduarda Asfora Frej & Lucia Reis Peixoto Roselli & Jônatas Araújo de Almeida & Ana Paula Cabral Seixas Costa & Danielle Costa Morais, 2026. "Additive Model for Aggregation in the Context of MAVT," International Series in Operations Research & Management Science, in: Multi-Criteria Decision Making with Partial Preference Information, chapter 3, pages 47-60, Springer.
    • Handle: RePEc:spr:isochp:978-3-032-19284-4_3
    DOI: 10.1007/978-3-032-19284-4_3
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