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

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.

[1]  M. Grabisch,et al.  A representation of preferences by the Choquet integral with respect to a 2-additive capacity , 2011 .

[2]  Christophe Gonzales,et al.  Multiattribute Utility Theory , 2010, Decision-making Process.

[3]  Christophe Labreuche,et al.  Using Choquet integral in Machine learning: What can MCDA bring? , 2012 .

[4]  Carlos A. Bana e Costa,et al.  The MACBETH Approach: Basic Ideas, Software, and an Application , 1999 .

[5]  Jean-Charles Billaut,et al.  Should you believe in the Shanghai ranking? , 2010, Scientometrics.

[6]  Michel Grabisch,et al.  A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid , 2010, Ann. Oper. Res..

[7]  Carlos A. Bana e Costa,et al.  On the mathematical foundations of MACBETH , 2016 .

[8]  Thierry Marchant,et al.  Evaluation and Decision Models: A Critical Perspective , 2000 .

[9]  D. Rouleau,et al.  Validity, reliability and responsiveness of the French language translation of the Western Ontario Shoulder Instability Index (WOSI). , 2014, Orthopaedics & traumatology, surgery & research : OTSR.

[10]  Christophe Labreuche,et al.  To : Fuzzy Sets and Systems , 2010 .

[11]  James S. Dyer,et al.  Maut — Multiattribute Utility Theory , 2005 .

[12]  Christophe Labreuche,et al.  MIRIAD: a tool suite for MCDA , 2005, EUSFLAT Conf..

[13]  L. Shapley A Value for n-person Games , 1988 .

[14]  Carlos A. Bana e Costa,et al.  On the Mathematical Foundation of MACBETH , 2005 .

[15]  Christophe Labreuche,et al.  An Interactive Algorithm to Deal with Inconsistencies in the Representation of Cardinal Information , 2010, IPMU.

[16]  Eyke Hllermeier,et al.  Preference Learning , 2010 .

[17]  Thierry Marchant,et al.  Evaluation and Decision Models with Multiple Criteria: Stepping Stones for the Analyst , 2006 .

[18]  Michel Grabisch,et al.  K-order Additive Discrete Fuzzy Measures and Their Representation , 1997, Fuzzy Sets Syst..