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Incorporating Hierarchical Criteria Structure in the Fitradeoff Method

Part of the Lecture Notes in Business Information Processing book series (LNBIP,volume 435)


Multicriteria Decision Making/Aiding (MCDM/A) techniques are usually required to solve practical decision-making problems that consider multiple criteria structured based on a value tree. Structuring criteria based on a hierarchy is common specially in problems in which the number of criteria is high, and therefore MCDM/A techniques should be prompted to deal with such situations. The well-known FITradeoff method is being widely applied for solving practical multicriteria problems due to its easiness of use and attractive flexibility features. However, the current version of this method is suitable for dealing with single-level criteria decision problems only. Therefore, in this context, this paper proposes a approach for solving multicriteria decision-making problems with hierarchically structured criteria in the FITradeoff method. This approach uses partial information of preferences provided by the decision maker, based on a structured process within the scope of the multi-attribute value theory, to find the values ​​of the scale constants. The model is presented for both choice and ranking problematics and it is based on the traditional tradeoff procedure, which is axiomatically robust. The model effectiveness is verified after being applied to three problems adapted from the literature to both choice and ranking problematics. As a result, it was observed that in the choice problematic, in all analyzed problems, a single optimal alternative was found and always with 6 or less questions answered. In turn, in the ranking problematic in all cases either a complete order or a complete preorder was found with 17 or less questions answered.


  • Hierarchical criteria
  • Multiple Criteria Decision-Making Aiding (MCDMA)
  • FITradeoff

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  • DOI: 10.1007/978-3-030-91768-5_7
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(Source: Adapted from Poyhonen et al. (2001))

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(Source: Belton and Stewart (2002))

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(Source: Adapted from Belton and Stewart (2002))

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(Source: Adapted from Xia and Wu (2007)).

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(Source: adapted from Keeney and Raifa (1993)).

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This work had support from the Brazilian Research Council (CNPq) and Coordination for the Improvement of Higher Education Personnel (CAPES).

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Correspondence to Maria Júlia Leal Vieira .

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Vieira, M.J.L., Frej, E.A., de Almeida, A.T., Viana, F.F.C.L. (2021). Incorporating Hierarchical Criteria Structure in the Fitradeoff Method. In: de Almeida, A.T., Morais, D.C. (eds) Innovation for Systems Information and Decision. INSID 2021. Lecture Notes in Business Information Processing, vol 435. Springer, Cham.

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