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Utility Function Induced by Fuzzy Target in Probabilistic Decision Making

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4259))

Abstract

It is widely accepted that a common precept for the choice under uncertainty is to use the expected utility maximization principle, which was established axiomatically. Recently, a formal equivalence between this principle of choice and the target-based principle, that suggests that one should select an action which maximizes the (expected) probability of meeting a (probabilistic) uncertain target, has been established and extensively discussed. In this paper, we discuss the issue of how to bring fuzzy targets within the reach of the target-based model for a class of decision making under uncertainty problems. Two methods for inducing utility functions from fuzzy targets are discussed and illustrated with an example taken from the literature.

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References

  1. Baldwin, J.F.: The management of fuzzy and probabilistic uncertainties for knowledge based systems. In: Shapiro, S.A. (ed.) The Encyclopaedia of AI, pp. 528–537. Wiley, New York (1992)

    Google Scholar 

  2. Bordley, R., LiCalzi, M.: Decision analysis using targets instead of utility functions. Decisions in Economics and Finance 23(1), 53–74 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bordley, R.: Foundations of target-based decision theory. In: Brachinger, H.W., Monney, P.A. (eds.) Decision Analysis. From: Encyclopedia of Life Support Systems (EOLSS). Eolss Publishers, Oxford (2002)

    Google Scholar 

  4. Castagnoli, E., LiCalzi, M.: Expected utility without utility. Theory and Decision 41(3), 281–301 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Castagnoli, E., LiCalzi, M.: Benchmarking real-valued acts. Games and Economic Behavior (in press)

    Google Scholar 

  6. Dubois, D., Prade, H.: Properties of measures of information in evidence and possibility theories. Fuzzy Sets and Systems 24, 161–182 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  7. Huynh, V.N., Nakamori, Y., Ryoke, M., Ho, T.B.: A fuzzy target based model for decision making under uncertainty. In: FUZZ–IEEE 2006 (accepted)

    Google Scholar 

  8. Kahneman, D., Tversky, A.: Prospect theory: An nnalysis of decision under risk. Econometrica 47(2), 263–291 (1979)

    Article  MATH  Google Scholar 

  9. Lee-Kwang, H., Lee, J.-H.: A method for ranking fuzzy numbers and its application to decision-making. IEEE Transactions on Fuzzy Systems 7(6), 677–685 (1999)

    Article  Google Scholar 

  10. LiCalzi, M.: A language for the construction of preferences under uncertainty. Revista de la Real Academia de Ciencias Exactas, Fìsicas y Naturales 93, 439–450 (1999)

    MATH  Google Scholar 

  11. Manski, C.F.: Ordinal utility models of decision making under uncertainty. Theory and Decision 25, 79–104 (1988)

    Article  MathSciNet  Google Scholar 

  12. Samson, D.: Managerial Decision Analysis. Irwin Publishing Co., Chicago (1988)

    Google Scholar 

  13. Savage, L.J.: The Foundations of Statistics. John Wiley and Sons, New York (1954)

    MATH  Google Scholar 

  14. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    MATH  Google Scholar 

  15. Von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)

    MATH  Google Scholar 

  16. Yager, R.R., Detyniecki, M., Bouchon-Meunier, B.: A context-dependent method for ordering fuzzy numbers using probabilities. Information Sciences 138(1-4), 237–255 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  17. Yager, R.R.: Including decision attitude in probabilistic decision making. International Journal of Approximate Reasoning 21, 1–21 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  18. Zadeh, L.A.: Fuzzy sets as a basic for a theory of possibility. Fuzzy Sets and Systems 1, 3–28 (1978)

    Article  MATH  MathSciNet  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Huynh, VN., Nakamori, Y., Ho, TB. (2006). Utility Function Induced by Fuzzy Target in Probabilistic Decision Making. In: Greco, S., et al. Rough Sets and Current Trends in Computing. RSCTC 2006. Lecture Notes in Computer Science(), vol 4259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11908029_32

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  • DOI: https://doi.org/10.1007/11908029_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47693-1

  • Online ISBN: 978-3-540-49842-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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