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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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
Zadeh, L. A., A new direction in AI – toward a computational theory of perceptions. AI Magazine 22(1), 73–84, 2001
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
Zadeh, L. A., Toward a perception-based theory of probabilistic reasoning with imprecise probabilities. Journal of Statistical Planning and Inference 105, 233–264, 2002
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
Yager, R. R., Filev, D. P., Essentials of Fuzzy Modeling and Control. Wiley: New York, 1994
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
Klir, G. J., Uncertainty and Information. Wiley: New York, 2006
Klir, G. J., Yuan, B., Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall: Upper Saddle River, NJ, 1995
Zadeh, L. A., Probability measures of fuzzy events. Journal of Mathematical Analysis and Applications 10, 421–427, 1968
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
Dubois, D., Prade, H., Fuzzy Sets and Systems: Theory and Applications, Academic Press: New York, 1980
Gardenfors, P., Conceptual Spaces: The Geometry of Thought. MIT Press: Cambridge, MA, 2000
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
Zadeh, L. A., Fuzzy sets. Information and Control 8, 338–353, 1965
Yager, R. R., A characterization of the extension principle. Fuzzy Sets and Systems 18, 205–217, 1986
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)