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Title: Approximations of believability functions under incomplete identification of sets of compatible states (English)
Author: Kramosil, Ivan
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 31
Issue: 5
Year: 1995
Pages: 425-450
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Category: math
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MSC: 60A99
MSC: 62A01
MSC: 68T30
idZBL: Zbl 0869.62007
idMR: MR1361305
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Date available: 2009-09-24T18:57:16Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124780
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Reference: [1] A. P. Dempster: Upper and lower probabilities induced by a multivalued mapping.Ann. Math. Statist. 38 (1967), 325-339. Zbl 0168.17501, MR 0207001
Reference: [2] P. Hájek T. Havránek, R. Jiroušek: Uncertain Information Processing in Expert Systems.CRC Press, California 1991. MR 1253068
Reference: [3] I. Kramosil: An intensional interpretation and generalization of Dempster-Shafer approach to uncertainty processing.In: Logica 93 - Proceedings of the 7th International Symposium (P. Kolaf and V. Svoboda, eds.), Filosofia - Publishing House of the Institute of Philosophy of the Academy of Sciences of the Czech Republic, Prague 1994, pp. 105-122.
Reference: [4] E. L. Lehmann: Testing Statistical Hypotheses.Wiley, New York 1947. MR 0852406
Reference: [5] J. Pearl: Probabilistic Reasoning in Intelligent Systems - Networks of Plausible Inference.Morgan Kaufmann Publishers, Inc., San Matteo, California 1988. MR 0965765
Reference: [6] G. Shafer: A Mathematical Theory of Evidence.Princeton Univ. Press, Princeton, New Jersey 1976. Zbl 0359.62002, MR 0464340
Reference: [7] P. Smets: Belief functions.In: Nonstandard Logics for Automated Reasoning (P. Smets, A. Mamdani, D. Dubois and H. Prade, eds.), Academic Press, London 1988, pp. 253-286. MR 1047260
Reference: [8] P. Smets: The nature of the unnormalized beliefs encountered in the transferable belief model.In: Uncertainty in AI92 (D. Dubois, M. P. Wellman, B. d'Ambrosio and P. Smets, eds.), Morgan Kaufmann, San Matteo, California 1992, pp. 292-297.
Reference: [9] P. Smets: Belief functions: the disjunctive rule of combination and the generalized bayesian theorem.Internat. J. Approx. Reason. 7 (1993), 1-35. Zbl 0796.68177, MR 1229424
Reference: [10] A. Wald: Sequential Analysis.Wiley, New York 1947. Zbl 0041.26303, MR 0020764
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