Additive Model for Aggregation in the Context of MAVT

Adiel Teixeira de Almeida (), Eduarda Asfora Frej (), Lucia Reis Peixoto Roselli (), Jônatas Araújo de Almeida (), Ana Paula Cabral Seixas Costa () and Danielle Costa Morais ()
Additional contact information
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

Chapter 3 in Multi-Criteria Decision Making with Partial Preference Information, 2026, pp 47-60 from Springer

Abstract: 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.

Keywords: Multi-Attribute Value Theory (MAVT); Independence in preference; Eliciting scale constants; Scales and normalization; Additive-Veto model; Portfolio problematic (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-032-19284-4_3

Ordering information: This item can be ordered from
http://www.springer.com/9783032192844

DOI: 10.1007/978-3-032-19284-4_3

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().