Advertisement

Aggregation of Risk Level Assessments Based on Fuzzy Equivalence Relation

  • Pavels OrlovsEmail author
  • Svetlana Asmuss
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 643)

Abstract

The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy equivalence relation. Numerical example of the investment risk level aggregation using an equivalence relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

Keywords

Aggregation operator General aggregation operator Fuzzy equivalence relation Risk level assessment 

References

  1. 1.
    Risk aggregation and diversification, Research paper, Committee on Risk Management and Capital Requirements (2016)Google Scholar
  2. 2.
    Orlovs, P., Asmuss, S.: General aggregation operators based on a fuzzy equivalence relation in the context of approximate systems. Fuzzy Sets Syst. 291, 114–131 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Orlovs, P., Asmuss, S.: On some properties of general aggregation operators based on a fuzzy equivalence relation. Adv. Intell. Syst. Res. 89, 1354–1361 (2014)zbMATHGoogle Scholar
  4. 4.
    Orlovs, P., Asmuss, S.: Upper and lower generalized factoraggregations based on fuzzy equivalence relation. In: Proceedings of the 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1772–1777 (2014)Google Scholar
  5. 5.
    Chan, H.K., Wang, X.: Hierarchical Model for Risk Assessment. Springer, London (2013)CrossRefzbMATHGoogle Scholar
  6. 6.
    Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions. Cambridge University Press, New York (2009)CrossRefzbMATHGoogle Scholar
  7. 7.
    Calvo, T., Mayor, G., Mesiar, R.: Aggregation Operators. Physica-Verlag, Heidelberg (2002)CrossRefzbMATHGoogle Scholar
  8. 8.
    Takaci, A.: General aggregation operators acting on fuzzy numbers induced by ordinary aggregation operators. Novi Sad J. Math. 33(2), 67–76 (2003)MathSciNetzbMATHGoogle Scholar
  9. 9.
    Pezier, J.: Application-based financial risk aggregation methods. ISMA Center Discussion Papers 2003–11, pp. 1–16 (2003)Google Scholar
  10. 10.
    Detyniecki, M.: Fundamentals on Aggregation Operators, Berkeley (2001)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LatviaRigaLatvia
  2. 2.Institute of Mathematics and Computer ScienceRigaLatvia

Personalised recommendations