Skip to main content

Dynamic-R: A New “Convincing” Multiple Criteria Method for Rating Problem Statements

  • Conference paper
  • First Online:
  • 425 Accesses

Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 348))

Abstract

In this paper, we propose Dynamic-R method, a new decision aiding procedure to deal with multicriteria rating problems. A multicriteria rating problem consists on partitioning a set of objects, assessed under several dimensions called criteria, into predefined ordered equivalence classes, called categories, identified by rates. Several rating methods were developed using the majority rule. These methods present many disadvantages leading potentially to an unconvincing rating. In this work, we introduce a dynamic rating procedure aiming at providing a “convincing” rating (stable under criticisms) over a set of studied objects. It is called dynamic, since rated objects will be used to characterize the categories in the next steps. The developed rating procedure is based on the aggregation of positive and negative reasons respectively supporting and opposing to a rating.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Almeida-Dias, J., Figueira, J., Roy, B.: Electre Tri-C: a multiple criteria sorting method based on characteristic reference actions. Eur. J. Oper. Res. 204(3), 565–580 (2010)

    Article  Google Scholar 

  2. Almeida-Dias, J., Figueira, J., Roy, B.: A multiple criteria sorting method where each category is characterized by several reference actions: the electre Tri-NC method. Eur. J. Oper. Res. 217(3), 567–579 (2012)

    Article  MathSciNet  Google Scholar 

  3. Bouyssou, D.: Outranking relations: do they have special properties? J. Multi-criteria Decis. Anal. 5(2), 99–111 (1996)

    Article  Google Scholar 

  4. Bouyssou, D., Marchant, T., Pirlot, M., Tsoukiàs, A., Vincke, P.: Evaluation and Decision Models with Multiple Criteria: Stepping Stones for the Analyst, 1st edn. Springer, Boston (2006). https://doi.org/10.1007/0-387-31099-1

    Book  MATH  Google Scholar 

  5. Bugera, V., Konno, H., Uryasev, S.: Credit cards scoring with quadratic utility functions. J. Multi-criteria Decis. Anal. 11(4–5), 197–211 (2002)

    Article  Google Scholar 

  6. Colorni, A., Tsoukiàs, A.: What is a decision problem? Preliminary statements. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds.) ADT 2013. LNCS (LNAI), vol. 8176, pp. 139–153. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-41575-3_11

    Chapter  Google Scholar 

  7. Dembczyński, K., Greco, S., Słowiński, R.: Rough set approach to multiple criteria classification with imprecise evaluations and assignments. Eur. J. Oper. Res. 198(2), 626–636 (2009)

    Article  MathSciNet  Google Scholar 

  8. Dembczyński, K., Kotłowski, W., Słowiński, R.: Additive preference model with piecewise linear components resulting from dominance-based rough set approximations. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 499–508. Springer, Heidelberg (2006). https://doi.org/10.1007/11785231_53

    Chapter  Google Scholar 

  9. Devaud, J.M., Groussaud, G., Jacquet-Lagreze, E.: UTADIS: Une methode de construction de fonctions d’utilite additives rendant compte de jugements globaux. In: European Working Group on MCDA, Bochum, Germany (1980)

    Google Scholar 

  10. Fernández, E., Figueira, J., Navarro, J., Roy, B.: Electre Tri-NB: a new multiple criteria ordinal classification method. Eur. J. Oper. Res. 263(1), 214–224 (2017)

    Article  MathSciNet  Google Scholar 

  11. Fernandez, E., Navarro, J.: A new approach to multi-criteria sorting based on fuzzy outranking relations: the theseus method. Eur. J. Oper. Res. 213(2), 405–413 (2011)

    Article  MathSciNet  Google Scholar 

  12. Greco, S., Matarazzo, B., Slowinski, R.: Rough approximation by dominance relations. Int. J. Intell. Syst. 17(2), 153–171 (2002)

    Article  Google Scholar 

  13. Greco, S., Matarazzo, B., Slowinski, R.: Rough sets methodology for sorting problems in presence of multiple attributes and criteria. Eur. J. Oper. Res. 138(2), 247–259 (2002)

    Article  MathSciNet  Google Scholar 

  14. Greco, S., Mousseau, V., Słowiński, R.: Multiple criteria sorting with a set of additive value functions. Eur. J. Oper. Res. 207(3), 1455–1470 (2010)

    Article  MathSciNet  Google Scholar 

  15. Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129(1), 1–47 (2001)

    Article  Google Scholar 

  16. Köksalan, M., Özpeynirci, S.B.: An interactive sorting method for additive utility functions. Comput. Oper. Res. 36(9), 2565–2572 (2009)

    Article  Google Scholar 

  17. Leroy, A., Mousseau, V., Pirlot, M.: Learning the parameters of a multiple criteria sorting method. In: Brafman, R.I., Roberts, F.S., Tsoukiàs, A. (eds.) ADT 2011. LNCS (LNAI), vol. 6992, pp. 219–233. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-24873-3_17

    Chapter  Google Scholar 

  18. Rocha, C., Dias, L.C.: An algorithm for ordinal sorting based on electre with categories defined by examples. J. Glob. Optim. 42(2), 255–277 (2008)

    Article  MathSciNet  Google Scholar 

  19. Vincke, Ph.: Outranking approach. In: Gal, T., Stewart, T., Hanne, T. (eds.) Multicriteria Decision Making, Advances in MCDM Models, Algorithms, Theory and Applications, pp. 11.1–11.29. Kluwer Academic Publishers, Dordrcht (1999)

    Google Scholar 

  20. Wei, Y.: Aide multicritère à la décision dans le cadre de la problématique du tri: Concepts, méthodes et applications. Ph.D. thesis, Paris 9 (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Oussama Raboun .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Raboun, O., Chojnacki, E., Tsoukias, A. (2019). Dynamic-R: A New “Convincing” Multiple Criteria Method for Rating Problem Statements. In: Freitas, P., Dargam, F., Moreno, J. (eds) Decision Support Systems IX: Main Developments and Future Trends. EmC-ICDSST 2019. Lecture Notes in Business Information Processing, vol 348. Springer, Cham. https://doi.org/10.1007/978-3-030-18819-1_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-18819-1_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-18818-4

  • Online ISBN: 978-3-030-18819-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics