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Premium Based on Mixture Utility

  • Conference paper
Flexible Query Answering Systems (FQAS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7022))

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Abstract

Aggregation functions and utility functions belong to very interesting parts of modern decision making theory. We develop basic concept of the connection of aggregation functions theory and utility theory to determine gross annual premium in general insurance. We introduce specific values of the gross annual premium on the basis of aggregation of the person’s utility functions which were determined empirically based on a short personal interview. Moreover, by specific utility function we determine minimal gross annual premium acceptable for the insurer.

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References

  1. Brunovský, P.: Mikroeconomics (2006) (in Slovak), http://www.iam.fmph.uniba.sk/skripta/brunovsky2/PART0.pdf

  2. Calvo, T., Mesiar, R., Yager, R.R.: Quantitative Weights and Aggregation, Fellow. IEEE Transaction on Fuzzy Systems 2(1), 62–69 (2004)

    Article  Google Scholar 

  3. Kaas, R., Goovaerts, M., Dhaene, J., Denuit, M.: Modern Actuarial Risk Theory. Kluwer Academic Publishers, Boston (2001)

    MATH  Google Scholar 

  4. Khurshid, A.: The end of rationality? In: Abstracts, Tenth International Conference on Fuzzy Set Theory and Applications, FSTA 2010, pp. 10–11. Slovak Republic (2010)

    Google Scholar 

  5. Marques-Pereira, R.A., Pasi, G.: On non-monotonic aggregation: Mixture operators. In: Proceedings of the 4th Meeting of the EURO Working Group on Fuzzy Sets (EUROFUSE 1999) and 2nd International Conference on Soft and Intelligent Computing (SIC 1999), Budapest, Hungary, pp. 513–517 (1999)

    Google Scholar 

  6. Mesiar, R., Špirková, J.: Weighted means and weighting functions. Kybernetika 42(2), 151–160 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Ribeiro, R.A., Marques-Pereira, R.A.: Generalized mixture operators using weighting functions: A comparative study with WA and OWA. European Journal of Operational Research 145, 329–342 (2003)

    Article  MATH  Google Scholar 

  8. Ribeiro, R.A., Marques-Pereira, R.A.: Weights as functions of attribute satisfaction values. In: Proceedings of the Workshop on Preference Modelling and Applications (EUROFUSE), Granada, Spain, pp. 131–137 (2001)

    Google Scholar 

  9. Ribeiro, R.A., Marques-Pereira, R.A.: Aggregation with generalized mixture operators using weighting functions. Fuzzy Sets and Systems 137, 43–58 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Rotar, V.I.: Actuarial Models - The Mathematics of Insurance. Chapman & Hall/CRC Press, Boca Raton, London (2007)

    MATH  Google Scholar 

  11. Špirková, J.: Weighting Functions For Aggregation Operator: 3rd International Summer School On Aggregation Operators, pp. 127–130. Universita Della Svizzera Italiana, Lugano (2005)

    Google Scholar 

  12. Špirková, J.: Mixture and quasi-mixture operators. In: IPMU 2006, France, pp. 603–608 (2006)

    Google Scholar 

  13. Špirková, J.: Dissertation thesis, Weighted aggregation operators and their applications, Bratislava (2008)

    Google Scholar 

  14. Špirková, J.: Mixture utility in general insurance. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. Communications in Computer and Information Science, vol. 80, pp. 712–721. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  15. Yager, R.R.: Generalized OWA Aggregation Operators. Fuzzy Optimization and Decision Making 3, 93–107 (2004)

    Google Scholar 

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Špirková, J. (2011). Premium Based on Mixture Utility. In: Christiansen, H., De Tré, G., Yazici, A., Zadrozny, S., Andreasen, T., Larsen, H.L. (eds) Flexible Query Answering Systems. FQAS 2011. Lecture Notes in Computer Science(), vol 7022. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24764-4_31

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  • DOI: https://doi.org/10.1007/978-3-642-24764-4_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24763-7

  • Online ISBN: 978-3-642-24764-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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