Skip to main content

Advertisement

Log in

Graded Relative Evidence

  • Published:
Artificial Intelligence Review Aims and scope Submit manuscript

Abstract

Relative Evidential Supports (RES) was developed and justified several years ago as a non-numeric apparatus that allows us to compare evidential supports for alternative conclusions when making a decision. An extension, called Graded Relative Evidence (GRE), of the RES concept of pairwise balancing and trading-off of evidence is reported here which keeps its basic features of simplicity and perspicacity, but enriches its modelling fidelity by permitting very modest, and intuitive, variations in degrees of outweighing (which the essentially binary RES does not). The formal justification is very simply based on linkages to RES and to the Dempster--Shafer theory of evidence. The use of the simple extension is illustrated, and to a small degree further justified empirically, by application to a topical scientific debate, about what is called the Congo Crossover Conjecture here. This decision-making instance is chosen because of the wealth of evidence that has been accumulated on both sides of the debate, and the range of evidence strengths manifested in it. The conjecture is that the advent of Aids was in the late 1950s in the Congo, when a vaccine for polio was allegedly cultivated in the kidneys of chimpanzees, which allowed the Aids infection to cross over to humans from primates.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • An, Z., Bell, D. A. & Hughes, J. G. (1992a). Relative possibility. In Proceedings of the IEEE-fuzzy ‘92.

  • An, Z., Bell, D. A. & Hughes, J. G. (1992b). RES -- A Relative Method for Evidential Reasoning. In Proceedings of 8th Conference on Uncertainty in A1, 1--8.

  • Z. An D. A. Bell J. G. Hughes (1993a) ArticleTitleRES – A Logic for Relative Evidential Support International Journal of Approximate Reasoning, 158 1–16

    Google Scholar 

  • Z. An D. A. Bell J. G. Hughes (1993b) ArticleTitleRelation-Based Evidential Reasoning International Journal of Approximate Reasoning, 159 1–21

    Google Scholar 

  • Bell, D. A. Weighing Evidence in Decision Systems, Internal Paper (to be published).

  • D. A. Bell (1993) ArticleTitleFrom Data Properties to Evidence IEEE Transactions on Knowledge and Data Engineering 5 IssueID6 965–969

    Google Scholar 

  • Bell, D. A., Webb, J. A. C. & Guan, J. W. (1994). A Mixed Radix Approach to the Pooling of Evidence. Journal of Intelligent Systems.

  • P. Cohen (1985) Heuristic Reasoning about Uncertainty: An AI Approach Pitman Boston

    Google Scholar 

  • D. Driankov (1987) A Calculus for Belief-Intervals Representation of Uncertainty B. Bouchon R. R. Yager (Eds) Proceedings of the IPMU 1986, Uncertainty in Knowledge-Based Systems, LNCS 286 Springer Berlin

    Google Scholar 

  • D. Driankov (1991) Towards a Many-Valued Logic of Quantified Belief. International Journal of Intelligent Systems 6 Wiley New York

    Google Scholar 

  • Fox, J. & Parsons, S. (1997). On using Arguments for Reasoning about Actions and Values. In Proceedings of the AAAI ‘97 Symposium.

  • Garey, M. & Johnston, D. (1979). Computers and Intractability, A Guide to the Theory of NP-Completeness, Freeman.

  • J. W. Guan D. A. Bell (1991) Evidence Theory and Its Applications. 1/2 Elsevier Amsterdam

    Google Scholar 

  • Guan, J. W. & Bell, D. A. (1993). A Generalization of the Dempster–Shafer theory. In Proceedings of the 13th International Joint Conference on Artificial Intelligence. France.

  • J. W. Guan D. A. Bell (1998) ArticleTitleRough Computational Methods for Information Systems Artificial Intelligence 105 77–103

    Google Scholar 

  • Hooper, E., (2000). The River, Penguin.

  • http://www.pbarrett.net/likert.pdf.

  • Karacapilidis, N. & Papadias D. (1998). Hermes: Supporting Argumentative Discourse in Multi-Agent Decision Making. In Proceedings of the AAAI Conference.

  • R. A. Likert (1932) Technique for the Measurement of Attitudes New York McGraw-Hill

    Google Scholar 

  • P. E. Malmnäs (1994) Towards a Mechanism of Real-Life Decisions D. Praditz D. Westerstalil (Eds) Logic and Philosophy of Science in Uppsala. Kluwer Academic Publishers Dordrecht

    Google Scholar 

  • McBurney, P. & Parsons, S. (2000). Risk Agoras: Dialectical Argumentation for Scientific Reasoning, In Proceedings of the UAI-2000.

  • G. A. Miller (1956) ArticleTitleThe magical Number Seven, Plus or Minus Two: Some Limits on our Capacity for Processing Information. Psychological Review 63 IssueID2 81–97

    Google Scholar 

  • Parsons, S. & Fox, J. (1996). Argumentation and Decision Making: A Position Paper. In Proceedings of the FAPR ‘96, 705–709.

  • Z. Pawlak (1991) Rough Sets: Theoretical Aspects of Reasoning about Data Kluwer Academic Dordrecht

    Google Scholar 

  • Royal Society Conference (2000). The Origin of Aids.

  • Schuster, A., Dubitsky, W., Lopez, P., Adamson, K., Bell, D. A., Hughes, J. G. & White, J. A. Aggregating Features and Matching Cases on Vague Linguistic Expressions. In Proceedings of the 15th IJAI Conf, 252–257.

  • G. Shafer (1976) A Mathematical Theory of Evidence Princeton University Press Princeton

    Google Scholar 

  • Shafer, G. & Srivastava, R. (1990). The Bayesian and Belief-Function Formalisms. In Readings in Uncertain Reasoning, Morgan Kaufmann 473–481.

  • P. Smets R. Kennes (1994) ArticleTitleThe Transferable Belief Function Artificial Intelligence 66 191–234

    Google Scholar 

  • Staniszkis, W. et al. (2002). Intelligent Content Management System Project Presentation, Deliverable 1, EU IST-2001-32429.

  • Strat, T. (1987). The Generation of Explanations within Evidential Reasoning Systems. In Proceedings of the IJCAI’87, 1097–1104.

  • A. Tversky D. Kanneman (1974) ArticleTitleJudgement Under Uncertainty: Heuristics and Biases Science 185 1124–1131

    Google Scholar 

  • R. R. Yager J. Kacprzyk M. Fedrizzi (Eds) (1994) Advances in the Dempster–Shafer Theory of Evidence Wiley New York

    Google Scholar 

  • L. A. Zadeh (1965) ArticleTitleFuzzy Sets. Information and Contro1 8 338–353

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David Bell.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bell, D. Graded Relative Evidence. Artif Intell Rev 23, 157–186 (2005). https://doi.org/10.1007/s10462-004-5898-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10462-004-5898-9

Keywords

Navigation