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 |
. |
Category:
|
math |
. |
MSC:
|
60A99 |
MSC:
|
62A01 |
MSC:
|
68T30 |
idZBL:
|
Zbl 0869.62007 |
idMR:
|
MR1361305 |
. |
Date available:
|
2009-09-24T18:57:16Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124780 |
. |
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 |
. |