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Multi-criteria and medical diagnosis for application to health insurance systems: a general approach through non-additive measures

Author

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  • Luca Anzilli

    (University of Salento)

  • Silvio Giove

    (University Ca’ Foscari of Venice)

Abstract

In this contribution, we propose a healthcare decision support system. Nowadays, it is commonly recognized that quantitative tools and decision support can increase the benefits and the performances of healthcare systems, and for this, different multiple criteria methods were proposed in many branches of medicine. The approach we propose is based on non-additive measures and the Choquet integral. This methodology has been intensively applied in many real-world applications, given its capability to represent interactions among criteria, and thus to model a wide range of preference structures. Considering that the diagnosis procedure needs also to take the clinical expertise into account, this method appears particularly tailored for a diagnosis support, mainly when statistical models cannot be applied and/or available data are scarce and knowledge can be inferred by physicians’ opinions. In particular, we propose a disease risk evaluation and compute some associated indicators. Furthermore, an error estimation is performed. As an application, a cardiovascular risk diagnosis model is presented. The proposed methodology, that allows to quantify the disease risk taking into account individual’s medical conditions, can be used for improving healthcare service quality or for pricing and reserving health insurance policies. An application to health insurance pricing is provided.

Suggested Citation

  • Luca Anzilli & Silvio Giove, 2020. "Multi-criteria and medical diagnosis for application to health insurance systems: a general approach through non-additive measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 559-582, December.
  • Handle: RePEc:spr:decfin:v:43:y:2020:i:2:d:10.1007_s10203-020-00302-x
    DOI: 10.1007/s10203-020-00302-x
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    1. James G. Dolan & Emily Boohaker & Jeroan Allison & Thomas F. Imperiale, 2014. "Can Streamlined Multicriteria Decision Analysis Be Used to Implement Shared Decision Making for Colorectal Cancer Screening?," Medical Decision Making, , vol. 34(6), pages 746-755, August.
    2. Lazzari, Luisa L. & Moulia, Patricia I., 2012. "Fuzzy Sets Application To Healthcare Systems," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(2), pages 43-58, November.
    3. Robert L. Smith, 1984. "Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions," Operations Research, INFORMS, vol. 32(6), pages 1296-1308, December.
    4. Cruciani, Caterina & Giove, Silvio & Pinar, Mehmet & Sostero, Matteo, 2012. "Constructing the FEEM Sustainability Index: A Choquet-Integral Application," Climate Change and Sustainable Development 130550, Fondazione Eni Enrico Mattei (FEEM).
    5. Michel Grabisch & Christophe Labreuche, 2016. "Fuzzy Measures and Integrals in MCDA," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 553-603, Springer.
    6. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
    7. Tervonen, Tommi & van Valkenhoef, Gert & Baştürk, Nalan & Postmus, Douwe, 2013. "Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 224(3), pages 552-559.
    8. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore, 2015. "Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 172-182.
    9. Robert Bordley & Marco LiCalzi, 2000. "Decision analysis using targets instead of utility functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(1), pages 53-74.
    10. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2009. "Aggregation functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445120, HAL.
    11. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
    12. Baione, Fabio & Levantesi, Susanna, 2014. "A health insurance pricing model based on prevalence rates: Application to critical illness insurance," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 174-184.
    13. van Valkenhoef, Gert & Tervonen, Tommi & Postmus, Douwe, 2014. "Notes on ‘Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis’," European Journal of Operational Research, Elsevier, vol. 239(3), pages 865-867.
    14. Nadine Gatzert & Udo Klotzki, 2016. "Enhanced Annuities: Drivers of and Barriers to Supply and Demand," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 41(1), pages 53-77, January.
    15. Annabelle Glaize & Alejandra Duenas & Christine Di Martinelly & Isabelle Fagnot, 2019. "Healthcare decision-making applications using multicriteria decision analysis: A scoping review," Post-Print hal-02114521, HAL.
    16. Marichal, Jean-Luc, 2004. "Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral," European Journal of Operational Research, Elsevier, vol. 155(3), pages 771-791, June.
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    1. Matteo Brunelli & Michele Fedrizzi & Salvatore Greco & José Rui Figueira & Roman Słowiński, 2020. "A special issue on multi-criteria decision aiding," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 557-558, December.

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    More about this item

    Keywords

    Choquet integral; Similarity; Capacities; Medical decision support system; Cardiovascular disease risk; Health insurance pricing;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private

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