MODELING PARTIAL IGNORANCE IN ARTIFICAL INTELLIGENCE APPLICATIONS
DOI:
https://doi.org/10.17770/etr2005vol1.2151Keywords:
belief functions, focusing, partial ignorance, revision, second order probabilities, upper and lower probabilitiesAbstract
This study aims to extend and deepen a survey of modern extensions of probability theory represented in [6, 7]. The classical probability theory possesses rather limited possibilities and cannot cope with situations of partial ignorance. Other approaches are required allowing one to solve tasks of that kind. The given paper considers the generalised approach to modelling partial ignorance and its interpretation in the terms of upper and lower probabilities, second order probabilities and belief functions.Downloads
References
D.Dubois, H.Prade, Ph.Smets. Representing Partial Ignorance http://iridia.u lb.ac.be/∼psmets/Rep_Partial_ignorance
P.E.Lehner, K.B.Laskey, and D.Dubois. An Introduction to Issues in Higher Order Uncertainty. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, Vol.26, No 3, May 1996, pp. 289 – 293
A.Mosleh and V.M.Bier. Uncertainty about Probability: A Reconciliation with the Subjectivist Viewpoint. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, Vol.26, No 3, May 1996, pp. 303 – 310
R.E.Neapolitan. Is Higher-Order Uncertainty Needed? IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, Vol.26, No 3, May 1996, pp. 294 – 302
Ph.Smets. Varieties of ignorance and the need for well-founded theories. http://iridia.u lb.ac.be/∼psmets/Variety Ignorance
O.Uzhga-Rebrov. Uncertain Probabilities. Proceedings of the 4th International Conference „Environment. Technology. Resourses”, June 26-28, Rezekne, Rezekne Higher Education Institution, pp. 377 - 384
O.Uzhga-Rebrov. A Survey of Modern Extensions of Probability Theory. Proceedings of the International Conference „Scientific Achievments for Wellbeing and Development of Society”, March 4-5, 2004, Rezekne, Rezekne Higher Education Institution, pp. 107 – 112
P.Walley. Statistical Reasoning with Imprecise Probabilities. Thomson Press (India) Ltd, New Delphi, 1991