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Imprecision in Human Combination of Evidence

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Progress in Fuzzy Sets and Systems

Part of the book series: Theory and Decision Library ((TDLD,volume 5))

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Abstract

For inference problems involving combination of evidence with either fuzzy quantifiers or support intervals some basic properties are reviewed. An empirical study is reported that was set out to investigate consensus of human inference with model inferences. It is shown that consensus is heavily influenced by the factors positiveness, monotonicity, and entropy/nonspecificity. On the one hand, human heuristics distort consensus; on the other hand, specific model assumptions could be reformulated. An approach using conditional objects to this reformulation is outlined.

On leave from Institute for Psychology; Free University of Berlin; Habelschwerdter Allee 45; D - 1000 Berlin 33

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References

  1. Baldwin, J. F. (1986): Support logic programming. In: A. Jones, A. Kaufmann, H.-J. Zimmermann (eds.): Fuzzy Sets Theory and Applications, NATO ASI Series, Dordrecht, D. Reidel, pp. 133–170.

    Google Scholar 

  2. Dubois, D., Prade, H. (1987): Properties of measures of information in evidence and possibility theories. Fuzzy Sets and Systems, 24, 2, pp. 161–182.

    Article  MathSciNet  MATH  Google Scholar 

  3. Dubois, D., Prade, H. (1988): Conditioning in Possibility and Evidence Theoires — A logical Viewpoint. In: B. Bouchon, L. Saitta, R. Yager (eds.): Uncertainty and Intelligent Systems (Proc. Second IPMU, Urbino 1988), pp. 401–408.

    Google Scholar 

  4. Edwards, W. (1982): Conservatism in human information processing. In: Kahneman, Slovic, Tversky (eds.): Judgment under uncertainty, New York, Cambridge University Press, pp. 359–369.

    Google Scholar 

  5. Goodman, I.R. & Nguyen, H.T. (1985): Uncertainty Models for Knowledge-based Systems; Amsterdam, North Holland.

    MATH  Google Scholar 

  6. Hajek, P. (1985): Combining functions for certainty degrees in consulting systems. Int. J. Man-Machine Studies, 22, pp. 59–76.

    Article  MATH  Google Scholar 

  7. Heckerman, D. (1986): Probabilistic Interpretation for MYCIN’S Certainty Factors. In: L. Kanal, J. Lemmer (eds.): Uncertainty in Artificial Intelligence. Amsterdam, North Holland.

    Google Scholar 

  8. Jaffray, J.-Y. (1988): Application of linear Utility Theory to Belief Functions. In: B. Bouchon, L. Saitta, R. Yager (eds.): Uncertainty and Intelligent Systems (Proc. Second IPMU, Urbino 1988), pp. 1–8.

    Google Scholar 

  9. Kahneman, D., Slovic, P., Tversky, A. (eds., 1982): Judgment under Uncertainty: Heuristics and Biases. New York, Cambridge University Press.

    Google Scholar 

  10. Nguyen, H.T. (1987): On Representation and Combinability of Uncertainy. Second IFSA Congress Preprints, Gakushuin University, Tokyo; pp. 506–509.

    Google Scholar 

  11. Rachlin, H. (1989): Judgment, Decision, and Choice. New York, Freeman.

    Google Scholar 

  12. Scholz, R. W. (1986): Cognitive Strategies in stochastic Thinking. Dordrecht, D. Reidel.

    Google Scholar 

  13. Spies, M. (1988): Specificity and entropy as attributes in reduction of uncertainty—Towards a psychological model of preferences in uncertain evidences. ORBEL4 —

    Google Scholar 

  14. Spies, M. (1989, in press): Syllogistic inference under uncertainty—An empirical contribution to uncertainty modelling in knowledge-based systems with fuzzy quantifiers and support logic. Munich, Psychologie Verlags Union. Fourth congress on quantitative methods for decision making of the Belgian Operations Research Society, Brussels.

    Google Scholar 

  15. Spies, M. (1989, in prep.): A model of imprecise quantification that accounts for human “biases”. Paper to be presented at the 3rd International Conference of IFSA, Seattle, Washington, August, 1989.

    Google Scholar 

  16. Zadeh, L.A. (1983): A computational approach to fuzzy quantifiers in natural languages. Comp. & Maths, with Applic. 9, pp. 149–184.

    Article  MathSciNet  MATH  Google Scholar 

  17. Zadeh, L.A. (1985): Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions, Institute of Cognitive Studies Report 34. Also in IEEE Transactions, Vol. SMC-15, No.6, pp. 754–763.

    MathSciNet  Google Scholar 

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© 1990 Kluwer Academic Publishers

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Spies, M. (1990). Imprecision in Human Combination of Evidence. In: Janko, W.H., Roubens, M., Zimmermann, HJ. (eds) Progress in Fuzzy Sets and Systems. Theory and Decision Library, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2019-4_14

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  • DOI: https://doi.org/10.1007/978-94-009-2019-4_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7405-6

  • Online ISBN: 978-94-009-2019-4

  • eBook Packages: Springer Book Archive

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