Skip to main content

Incorporating Hierarchical Criteria Structure in the Fitradeoff Method

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

Abstract

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.

Keywords

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

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-91768-5_7
  • Chapter length: 19 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   44.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-91768-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   59.99
Price excludes VAT (USA)
Fig. 1.

(Source: Adapted from Poyhonen et al. (2001))

Fig. 2.

(Source: Belton and Stewart (2002))

Fig. 3.
Fig. 4.

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

Fig. 5.

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

Fig. 6.

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

Fig. 7.
Fig. 8.

References

Download references

Acknowledgments

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

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maria Júlia Leal Vieira .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Verify currency and authenticity via CrossMark

Cite this paper

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. https://doi.org/10.1007/978-3-030-91768-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-91768-5_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-91767-8

  • Online ISBN: 978-3-030-91768-5

  • eBook Packages: Computer ScienceComputer Science (R0)