Skip to main content

Arguing about beliefs and actions

  • Chapter
  • First Online:
Applications of Uncertainty Formalisms

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1455))

Abstract

Decision making under uncertainty is central to reasoning by practical intelligent systems, and attracts great controversy. The most widely accepted approach is to represent uncertainty in terms of prior and conditional probabilities of events and the utilities of consequences of actions, and to apply standard decision theory to calculate degrees of belief and expected utilities of actions. Unfortunately, as has been observed many times, reliable probabilities are often not easily available. Furthermore the benefits of a quantitative probabilistic representation can be small by comparison with the restrictions imposed by the formalism. In this paper we summarise an approach to reasoning under uncertainty by constructing arguments for and against particular options and then describe an extension of this approach to reasoning about the expected values of actions.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. A. M. Agogino and N. F. Michelena. Qualitative decision analysis. In N. Piera Carreté and M. G. Singh, editors, Qualitative Reasoning and Decision Technologies, pages 285–293. CIMNE, Barcelona, Spain, 1993.

    Google Scholar 

  2. S. Ambler. A categorical approach to the semantics of argumentation. Mathematical Structures in Computer Science, 6:167–188, 1996.

    Article  MathSciNet  Google Scholar 

  3. S. Ambler and P. Krause. Enriched categories in the semantics of evidential reasoning. Technical Report 153, Advanced Computation Laboratory, Imperial Cancer Research Fund, 1992.

    Google Scholar 

  4. J. Bell and Z. Huang. Safety logics. In A. Hunter and S. Parsons, editors, Applications of Uncertainty Formalisms (this volume). Springer Verlag, Berlin, 1998.

    Google Scholar 

  5. T. Chard. Qualitative probability versus quantitative probability in clinical diagnosis: a study using a computer simulation. Medical Decision Making, 11:38–41, 1991.

    Article  Google Scholar 

  6. S. Das, J. Fox, D. Elsdon, and P. Hammond. Decision making and plan management by autonomous agents: theory, implementation and applications. In Proceedings of the 1st International Conference on Autonomous Agents, 1997.

    Google Scholar 

  7. S. K. Das. How much does an agent believe: an extension of modal epistemic logic. In A. Hunter and S. Parsons, editors, Applications of Uncertainty Formalisms (this volume). Springer Verlag, Berlin, 1998.

    Google Scholar 

  8. D. Dubois and H. Prade. Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press, New York, NY, 1988.

    Book  Google Scholar 

  9. D. Dubois and H. Prade. Possibility theory as a basis for qualitative decision theory. In Proceedings of the 14th International Joint Conference on Artificial Intelligence, pages 1924–1930, San Mateo, CA, 1995. Morgan Kaufmann.

    Google Scholar 

  10. M. Elvang-Gøransson and A. Hunter. Argumentative logics: reasoning with classically inconsistent information. Data and Knowledge Engineering, 16:125–145, 1995.

    Article  Google Scholar 

  11. M. Elvang-Gøransson, P. Krause, and J. Fox. Dialectic reasoning with inconsistent information. In Proceedings of the 9th Conference on Uncertainty in Artificial Intelligence, pages 114–121, San Mateo, CA, 1993. Morgan Kaufmann.

    Google Scholar 

  12. J. Fox. Making decisions under the inuence of memory. Psychological Review, 87:190–211, 1980.

    Article  Google Scholar 

  13. J. Fox, D. Barber, and K. D. Bardhan. Alternatives to Bayes? A quantitative comparison with rule-based diagnostic inference. Methods of Information in Medicine, 19:210–215, 1980.

    Article  Google Scholar 

  14. J. Fox and S. Das. A unified framework for hypothetical and practical reasoning (2): lessons from medical applications. In Formal and Applied Practical Reasoning, pages 73–92, Berlin, Germany, 1996. Springer Verlag.

    Google Scholar 

  15. J. Fox, A. Glowinski, and M. O’Neil. The Oxford system of medicine: a prototype information system for primary care. In J. Fox, M. Fieschi, and R. Engelbrecht, editors, AIME 87 European Conference on Artificial Intelligence in Medicine. Springer Verlag, Berlin, 1987.

    Google Scholar 

  16. J. Fox, N. Johns, C Lyons, A. Rahmanzadeh, R. Thomson, and P. Wilson. Proforma: a general technology for clinical decision support systems. Computer Methods and Programs in Biomedicine, 54:59–67, 1997.

    Article  Google Scholar 

  17. J. Fox, P. Krause, and S. Ambler. Arguments, contradictions and practical reasoning. In Proceedings of the 10th European Conference on Artificial Intelligence, pages 623–627, Chichester, UK, 1992. John Wiley & Sons.

    Google Scholar 

  18. J. Fox, P. Krause, and M. Elvang-Gøransson. Argumentation as a general framework for uncertain reasoning. In Proceedings of the 9th Conference on Uncertainty in Artificial Intelligence, pages 428–434, San Mateo, CA., 1993. Morgan Kaufmann.

    Google Scholar 

  19. J. Fox and S. Parsons. On using arguments for reasoning about actions and values. In Proceedings of the AAAI Spring Symposium on Qualitative Preferences in Deliberation and Practical Reasoning, pages 55–63, 1997.

    Google Scholar 

  20. D. Gabbay. Labelled Deductive Systems. Oxford University Press, Oxford, UK, 1996.

    MATH  Google Scholar 

  21. G. E. Hughes and M. J. Cresswell. An Introduction to Modal Logic. Methuen, London, UK, 1968.

    MATH  Google Scholar 

  22. P. Krause, S. Ambler, M. Elvang-Gøransson, and J. Fox. A logic of argumentation for reasoning under uncertainty. Computational Intelligence, 11:113–131, 1995.

    Article  MathSciNet  Google Scholar 

  23. P. Krause, P. Judson, and M. Patel. Qualitative risk assessment fulfills a need. In A. Hunter and S. Parsons, editors, Applications of Uncertainty Formalisms (this volume). Springer Verlag, Berlin, 1998.

    Google Scholar 

  24. M. O’Neil and A. Glowinski. Evaluating and validating very large knowledge-based systems. Medical Informatics, 3:237–251, 1990.

    Article  Google Scholar 

  25. S. Parsons. Refining reasoning in qualitative probabilistic networks. In Proceedings of the 11th Conference on Uncertainty in Artificial Intelligence, pages 427–434, San Francisco, CA, 1995. Morgan Kaufman.

    Google Scholar 

  26. S. Parsons. Comparing normative argumentation to qualitative systems. In Proceedings of the 6th International Conference on Information Processing and the Management of Uncertainty, pages 137–142, 1996.

    Google Scholar 

  27. S. Parsons. Defining normative systems for qualitative argumentation. In Formal and Applied Practical Reasoning, pages 449–465, Berlin, Germany, 1996. Springer Verlag.

    Google Scholar 

  28. S. Parsons. Normative argumentation and qualitative probability. In Qualitative and Quantitative Practical Reasoning, pages 466–480, Berlin, Germany, 1997. Springer Verlag.

    Google Scholar 

  29. S. Parsons. On qualitative probability and order of magnitude reasoning. In Proceedings of the 10th Florida Artificial Intelligence Research Symposium, pages 198–203, St Petersburg, FL, 1997. Florida AI Research Society.

    Google Scholar 

  30. S. Parsons. Qualitative approaches to reasoning under uncertainty. MIT Press, Cambridge, MA, 1998.

    Google Scholar 

  31. S. Parsons and J. Fox. Argumentation and decision making: a position paper. In Formal and Applied Practical Reasoning, pages 705–709, Berlin, Germany, 1996. Springer Verlag.

    Google Scholar 

  32. J. Pearl. From conditional oughts to qualitative decision theory. In Proceedings of the 9th Conference on Uncertainty in Artificial Intelligence, pages 12–20, San Mateo, CA., 1993. Morgan Kaufmann.

    Google Scholar 

  33. J. L. Pollock. New foundations for practical reasoning. Minds and Machines, 2:113–144, 1992.

    Google Scholar 

  34. M. Pradhan, M. Henrion, G. Provan, B. del Favero, and K. Huang. The sensitivity of belief networks to imprecise probabilities: an experimental investigation. Artificial Intelligence, 85:363–397, 1996.

    Article  Google Scholar 

  35. H. Raiffa. Decision Analysis: Introductory Lectures on Choices under Uncertainty. Addison-Wesley, Reading, MA, 1970.

    MATH  Google Scholar 

  36. A. Rao and M. P. Georgeff. Modelling rational agents within a BDI-architecture. In Proceedings of the 2nd International Conference on Knowledge Representation and Reasoning, pages 473–484, San Mateo, CA, 1991. Morgan Kaufmann.

    Google Scholar 

  37. G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ, 1976.

    MATH  Google Scholar 

  38. Y. Shoham. Conditional utility, utility independence, and utility networks. In Proceedings of the 13th Conference on Uncertainty in Artificial Intelligence, pages 429–436, San Francisco, CA, 1997. Morgan Kaufmann.

    Google Scholar 

  39. E. H. Shortliffe. Computer-Based Medical Consultations: MYCIN. Elsevier, New York, NY, 1976.

    Google Scholar 

  40. Sek-Wah Tan and J. Pearl. Qualitative decision theory. In Proceedings of the 12th National Conference on Artificial Intelligence, pages 928–933, Menlo Park, CA, 1994. AAAI Press/MIT Press.

    Google Scholar 

  41. P. Taylor, J. Fox, and A. Todd-Pokropek. A model for integrating image processing into decision aids for diagnostic radiology. Artificial Intelligence in Medicine, 9:205–225, 1997.

    Article  Google Scholar 

  42. S. Toulmin. The uses of argument. Cambridge University Press, Cambridge, UK., 1957.

    MATH  Google Scholar 

  43. R. T. Walton, C. Gierl, P. Yudkin, H. Mistry, M. P. Vessey, and J. Fox. Evaluation of computer support for prescribing (CAPSULE) using simulated cases. British Medical Journal, 315:791–794, 1997.

    Article  Google Scholar 

  44. M. P. Wellman. Formulation of tradeoffs in planning under uncertainty. Pitman, London, UK, 1990.

    Google Scholar 

  45. M. P. Wellman and J. Doyle. Preferential semantics for goals. In Proceedings of the 10th National Conference on Artificial Intelligence, pages 698–703, Menlo Park, CA, 1991. AAAI Press/MIT Press.

    Google Scholar 

  46. N. Wilson. An order of magnitude calculus. In Proceedings of the 11th Conference on Uncertainty in Artificial Intelligence, pages 548–555, San Francisco, CA., 1995. Morgan Kaufman.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fox, J., Parsons, S. (1998). Arguing about beliefs and actions. In: Hunter, A., Parsons, S. (eds) Applications of Uncertainty Formalisms. Lecture Notes in Computer Science(), vol 1455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49426-X_13

Download citation

  • DOI: https://doi.org/10.1007/3-540-49426-X_13

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65312-7

  • Online ISBN: 978-3-540-49426-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics