Theoretical Foundation for FITradeoff Method

Adiel Teixeira de Almeida (), Eduarda Asfora Frej (), Lucia Reis Peixoto Roselli (), Jonatas Araújo de Almeida (), Ana Paula Cabral Seixas Costa () and Danielle Costa Morais ()
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Adiel Teixeira de Almeida: Federal University of Pernambuco
Eduarda Asfora Frej: Federal University of Pernambuco
Lucia Reis Peixoto Roselli: Federal University of Pernambuco
Jonatas Araújo de Almeida: Federal University of Pernambuco
Ana Paula Cabral Seixas Costa: Federal University of Pernambuco
Danielle Costa Morais: Federal University of Pernambuco

Chapter 9 in Multi-Criteria Decision Making with Partial Preference Information, 2026, pp 149-177 from Springer

Abstract: Abstract The FITradeoff method is one of the partial preference information methods in MCDM/A that is most applied. This chapter presents the theoretical foundation for the FITradeoff method. It is essential to understand this foundation to ensure the correct application of the method and a coherent interpretation of its results. This strengthens the credibility of the decision process. Additionally, when necessary, an in-depth knowledge of the foundation of the method identifies possibilities for adapting it in conjunction with other approaches consistently with its axioms. The two paradigms for preference modeling, elicitation by decomposition and holistic evaluation, are analyzed. For the former, it is demonstrated that the heuristics for the sequence of questions accelerates the elicitation process. This eliminates contradictions in the DM’s statements, and thus corrects possible inconsistencies that might occur in the elicitation procedure. Finally, an analysis is presented on the use of the DM’s preferences collected and how they are used to find the solution for each type of problematic.

Keywords: Analytical basis of FITradeoff; Math foundations for Elicitation by decomposition; Math foundations for Holistic evaluation; Analysis of inconsistencies; Subspace of weights analysis (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-19284-4_9

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