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A 2-Additive Choquet Integral Model for French Hospitals Rankings in Weight Loss Surgery

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 610))

Abstract

In a context of Multiple Criteria Decision Aid, we present a decision model explaining some French hospitals rankings in weight loss surgery. To take into account interactions between medical indicators, we elaborated a model based on the 2-additive Choquet integral. The reference subset, defined during the elicitation process of this model, is composed by some specific alternatives called binary alternatives. To validate our approach, we showed that the proposed 2-additive Choquet integral model is able to approximate the hospitals ranking, in weight loss surgery, published by the French magazine “Le Point” in August 2013.

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Notes

  1. 1.

    http://health.usnews.com/best-hospitals.

  2. 2.

    http://www.usnews.com/pubfiles/BH_2014_Methodology_Report_Final_Jul14.pdf.

  3. 3.

    http://www.nhs.uk.

  4. 4.

    http://classement-hopitaux.nouvelobs.com/.

  5. 5.

    http://hopitaux.lepoint.fr/.

  6. 6.

    http://sante.lefigaro.fr.

  7. 7.

    http://hospidiag.atih.sante.fr.

  8. 8.

    http://en.wikipedia.org/wiki/Bariatric_surgery.

  9. 9.

    French National Authority for Health (HAS) aims to improve quality and safety of healthcare. The objectives are to accredit health care organizations and health professionals, to produce guidelines for health professionals (practices, public health, patient safety), to develop disease management for chronic conditions, to advise decision makers on health technologies (drugs, devices, procedures), and to inform professionals, patients, and the public.

  10. 10.

    The Kendall tau ranking distance between two rankings \(R_1\) and \(R_2\) is the quantity \(K(R_1,R_2)=\dfrac{|\{(i,j): i< j, (\tau _1(i)<\tau _1(j) \wedge \tau _2(i)>\tau _2(j) )\vee (\tau _1(i)>\tau _1(j) \wedge \tau _2(i)<\tau _2(j) )\}|}{n/2 (n-1)}\) where \(\tau _1(i)\) et \(\tau _2(i)\) are the ranks of the element i in the rankings \(R_1\) and \(R_2\) respectively.

References

  1. Bana e Costa, C.A., De Corte, J.M., Vansnick, J.C.: On the mathematical foundations of MACBETH. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 409–437. Springer, New York (2005)

    Chapter  Google Scholar 

  2. Bana e Costa, C.A., Vansnick, J.C.: The MACBETH approach: basic ideas, software and an application. In: Meskens, N., Roubens, M. (eds.) Advances in DecisionAnalysis, pp. 131–157. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  3. Baron, S., Duclos, C., Thoreux, P.: Orthopedics coding and funding. Orthop. Traumatol. Surg. Res. 100(1 Supplement), 99–106 (2014). 2013 Instructional Course Lectures (SoFCOT)

    Article  Google Scholar 

  4. Billaut, J.-C., Bouyssou, D., Vincke, P.: Should you believe in the shanghai ranking? - an mcdm view. Scientometrics 84(1), 237–263 (2010)

    Article  Google Scholar 

  5. Bouyssou, D., Couceiro, M., Labreuche, C., Marichal, J.-L., Mayag, B.: Using choquet integral in machine learning: What can MCDA bring? In: DA2PL 2012 Workshop: From Multiple Criteria Decision Aid to Preference Learning, Mons, Belgique (2012)

    Google Scholar 

  6. Bouyssou, D., Marchant, T., Pirlot, M., Tsoukiàs, A.: Evaluation and Decision Models: A Critical Perspective. Kluwer Academic, Dordrecht (2000)

    Book  MATH  Google Scholar 

  7. Bouyssou, D., Marchant, T., Pirlot, M., Tsoukiàs, A., Vincke, P.: Evaluation and Decision Models: Stepping Stones for the Analyst. Springer Verlag, New York (2006)

    MATH  Google Scholar 

  8. Dyer, J.S.: MAUT - multiattribute utility theory. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 265–285. Springer Verlag, Boston, Dordrecht, London (2005)

    Google Scholar 

  9. Fürnkranz, J., Hüllermeier, E.: Preference Learning. Springer, New York (2011)

    Book  MATH  Google Scholar 

  10. Grabisch, M.: \(k\)-order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst. 92, 167–189 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  11. Grabisch, M., Labreuche, C.: A decade of application of the Choquet, Sugeno integrals in multi-criteria decision aid. 4OR 6, 1–44 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  12. Labreuche, C. Le Huédé, F.: Myriad: a tool suite for MCDA. In: International Conference of the Euro Society for Fuzzy Logic and Technology(EUSFLAT), Barcelona, Spain, September, 7–9 2005, pp. 204–209 (2005)

    Google Scholar 

  13. De Linares, J.: Hôpitaux et cliniques: Le palmarès 2013. Le Figaro Magazine, pp. 39–49, 21 June 2013. http://sante.lefigaro.fr/actualite/2013/06/23/20819-palmares-2013-hopitaux-cliniques

  14. De Linares, J.: Le palmarès national 2013: Hôpitaux et cliniques. Le Nouvel Observateur, pp. 77–117, 28 November 2013. http://classement-hopitaux.nouvelobs.com/

  15. Malye, F., Vincent, J.: Hôpitaux et cliniques: Le palmarès 2013, pp. 86–142, 22 August 2013. http://hopitaux.lepoint.fr/

  16. Mayag, B., Grabisch, M., Labreuche, C.: An interactive algorithm to deal with inconsistencies in the representation of cardinal information. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. CCIS, vol. 80, pp. 148–157. Springer, Heidelberg (2010)

    Google Scholar 

  17. Mayag, B., Grabisch, M., Labreuche, C.: A characterization of the 2-additive Choquet integral through cardinal information. Fuzzy Sets Syst. 184(1), 84–105 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  18. Mayag, B., Grabisch, M., Labreuche, C.: A representation of preferences by the Choquet integral with respect to a 2-additive capacity. Theory Decis. 71(3), 297–324 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  19. Murofushi, T., Soneda, S., Techniques for reading fuzzy measures (III): interaction index.In: 9th Fuzzy System Symposium, Sapporo, Japan, pp. 693–696, May 1993. (in Japanese)

    Google Scholar 

  20. Shapley, L.S.: A value for \(n\)-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games, Vol. II. Annals of Mathematics Studies, vol. 28, pp. 307–317. Princeton University Press, Princeton (1953)

    Google Scholar 

  21. Siskos, Y., Grigoroudis, E., Matsatsinis, N.F.: UTA methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 297–343. Springer, New York (2005)

    Google Scholar 

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Authors and Affiliations

  1. University Paris-Dauphine, PSL Research University, LAMSADE, CNRS, UMR 7243, Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France

    Brice Mayag

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  1. Brice Mayag
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Correspondence to Brice Mayag .

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Editors and Affiliations

  1. INESC-ID,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Joao Paulo Carvalho

  2. LIP 6, Université Pierre et Marie Curie, Paris, France

    Marie-Jeanne Lesot

  3. School of Industrial Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Uzay Kaymak

  4. IDMEC,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Susana Vieira

  5. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  6. Machine Intelligence Institute, Iona College, New Rochelle, New York, USA

    Ronald R. Yager

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Mayag, B. (2016). A 2-Additive Choquet Integral Model for French Hospitals Rankings in Weight Loss Surgery. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 610. Springer, Cham. https://doi.org/10.1007/978-3-319-40596-4_10

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  • DOI: https://doi.org/10.1007/978-3-319-40596-4_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40595-7

  • Online ISBN: 978-3-319-40596-4

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