Skip to main content

Part of the book series: Studies in Computational Intelligence ((SCI,volume 117))

Supporting policy makers requires tools to aid in decision making in risky situations. Fundamental to this kind of decision making is a need to model the uncertainty associated with a course of action, an alternative’s uncertainty profile. In addition to this we need to be able to model the responsible agents decision function, their attitude with respect to different uncertain risky situations. In the real world both these kinds of information are to complex, ill defined and imprecise to be able to be realistically modeled by conventional techniques. Here we look at new techniques arising from the modern technologies of computational intelligence and soft computing. The use of fuzzy rule based formulations to model decision functions is investigated. We discuss the role of perception based granular probability distributions as a means of modeling the uncertainty profiles of the alternatives. Tools for evaluating rule based decision functions in the face of perception based uncertainty profiles are presented. We suggest a more intuitive and human friendly way of describing uncertainty profiles is in terms of a perception based granular cumulative probability distribution function. We show how these perception based granular cumulative probability distributions can be expressed in terms of a fuzzy rule based model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zadeh, L. A., From computing with numbers to computing with words-From manipulation of measurements to manipulations of perceptions. IEEE Transactions on Circuits and Systems 45, 105–119, 1999

    MathSciNet  Google Scholar 

  2. Zadeh, L. A., A new direction in AI – toward a computational theory of perceptions. AI Magazine 22(1), 73–84, 2001

    Google Scholar 

  3. Zadeh, L. A., Toward a logic of perceptions based on fuzzy logic. In: Novak, W., Perfilieva, I. (Eds.) Discovering the World with Fuzzy Logic. Physica-Verlag: Heidelberg, pp. 4–28, 2001

    Google Scholar 

  4. Zadeh, L. A., Toward a perception-based theory of probabilistic reasoning with imprecise probabilities. Journal of Statistical Planning and Inference 105, 233–264, 2002

    Article  MATH  MathSciNet  Google Scholar 

  5. Yager, R. R., Using a notion of acceptable in uncertain ordinal decision making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10, 241–256, 2002

    Article  MATH  MathSciNet  Google Scholar 

  6. Yager, R. R., Filev, D. P., Essentials of Fuzzy Modeling and Control. Wiley: New York, 1994

    Google Scholar 

  7. Takagi, T., Sugeno, M., Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man and Cybernetics 15, 116–132, 1985

    MATH  Google Scholar 

  8. Klir, G. J., Uncertainty and Information. Wiley: New York, 2006

    Google Scholar 

  9. Klir, G. J., Yuan, B., Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall: Upper Saddle River, NJ, 1995

    MATH  Google Scholar 

  10. Zadeh, L. A., Probability measures of fuzzy events. Journal of Mathematical Analysis and Applications 10, 421–427, 1968

    Article  MathSciNet  Google Scholar 

  11. Yager, R. R., Liu, L., (A. P. Dempster and G. Shafer, Advisory Editors) Classic Works of the Dempster-Shafer Theory of Belief Functions, Springer: Berlin Heidelberg New York, 2008

    Chapter  Google Scholar 

  12. Dubois, D., Prade, H., Fuzzy Sets and Systems: Theory and Applications, Academic Press: New York, 1980

    MATH  Google Scholar 

  13. Gardenfors, P., Conceptual Spaces: The Geometry of Thought. MIT Press: Cambridge, MA, 2000

    Google Scholar 

  14. Dubois, D., Prade, H., Fuzzy numbers: an overview. In: Bezdek, J. C. (ed.) Analysis of Fuzzy Information Vol. 1: Mathematics and Logic. CRC Press: Boca Raton, FL, pp. 3–39, 1987

    Google Scholar 

  15. Zadeh, L. A., Fuzzy sets. Information and Control 8, 338–353, 1965

    Article  MATH  MathSciNet  Google Scholar 

  16. Yager, R. R., A characterization of the extension principle. Fuzzy Sets and Systems 18, 205–217, 1986

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Yager, R.R. (2008). Risk Modeling for Policy Making. In: Da Ruan, Hardeman, F., van der Meer, K. (eds) Intelligent Decision and Policy Making Support Systems. Studies in Computational Intelligence, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78308-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-78308-4_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78306-0

  • Online ISBN: 978-3-540-78308-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics