Fundamentals of the Dempster-Shafer theory and its applications to system safety and reliability modelling

• Autorzy: Rakowsky U. K.
• Języki publikacji: EN

Abstrakty

EN

The Dempster-Shafter Theory is well-known for its usefulness to express uncertain judgments of experts. This contribution shows how to apply the calculus to safety and reliability modelling, especially to expert judgement; Failure Modes, Effects, and Criticality Analysis; Event Tree Analysis, Fault Tree Analysis, and Reliability Centred Maintenance. Including a tutorial introduction to the Dempster-Shafer Theory, the differences between the Probability and the Dempster-Shafer Theory are discussed widely.

Słowa kluczowe

EN

Dempster-Shafer theory; evidence; uncertainty; expert assessment; event tree analysis; fault tree analysis

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2007
• Tom: Vol. 2
• Strony: 283--295
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Rakowsky U. K.

• University of Wuppertal, Germany
• Vossloh Kiepe, Düsseldorf, Germany

Bibliografia

• [1] Dempster, A.P. (1966). New Methods for Reasoning towards Posterior Distributions based on Sample Data. The Annals of Mathematical Statistics 37: 355-374.
• [2] Dempster, A.P. (1967). Upper and Lower Probabilities Induced by a Multivalued Mapping. The Annals of Mathematical Statistics 38: 325-339.
• [3] Dempster, A.P. (1968). A Generalization of Bayesian Inference. Journal of the Royal Statistical Society, Series B (methodological) 30: 205-247.
• [4] Denoeux, T. (1999). Reasoning with imprecise belief structures. International Journal of Approximate Reasoning 20 (1): 79-111.
• [5] Ferson, S., Kreinovich, V., Ginzburg, L., Myers, D.S. & Sentz, K. (2003). Constructing Probability Boxes and Dempster-Shafer Structures. Sandia Report SAND2002-4015.
• [6] Flack, J. (1996). On the Interpretation of Remotely Sensed Data Using Guided Techniques for Land Cover Analysis. Unpublished PhD thesis, Department of Geographic Information Science, Curtin. University, Perth, Australia.
• [7] Guth, M. A. S. (1991). A Probabilistic Foundation for Vagueness and Imprecision in Fault-Tree Analysis. IEEE Transactions on Reliability 40 (5), 563-571.
• [8] Hollnagel, E. (1998). Cognitive Reliability and Error Analysis Method – CREAM. Amsterdam: Elsevier.
• [9] International Electrotechnical Commission IEC, ed. (2002). International Electrotechnical Vocabulary – Chapter 191: Dependability and Quality of Service. IEC 60050-191: 2002-05, 2nd Edition.
• [10] Keung-Chi, N. & Abramson, B. (1990). Uncertainty Management in Expert Systems. IEEE Expert 5 (2), 29-48.
• [11] Klir, G. J. & Folger, T. A. (1988). Fuzzy Sets, Uncertainty and Information. Englewood Cliffs. Prentice-Hall.
• [12] Leang, S. (1995). A Control and Diagnostic System For The Photolithography Process Sequence, Ph.D. Dissertation.
• [13] O’Neil, A. (1999). The Dempster-Shafer Engine. http://www.quiver.freeserve.co.uk/Dse.htm
• [14] Nuclear Regulatory Commission (1999). Technical Basis and Implementation Guidelines for a Technique for Human Event Analysis (ATHEANA), NUREG-1624.
• [15] Parsons, S. (1994). Some Qualitative Approaches to Applying the Dempster-Shafer Theory. Information and Decision Technologies 19, 321-337.
• [16] Rakowsky, U. K. (2005). Some Notes on Probabilities and Non-Probabilistic Reliability Measures. Proceedings of the ESREL 2005, Tri-City/Poland. Leiden: Balkema, 1645-1654.
• [17] Rakowsky, U. K. (2002). System Reliability (in German), Hagen/ Germany: LiLoLe Publishing.
• [18] Shafer, G. (1976). A Mathematical Theory of Evidence. Princeton: Princeton University Press.
• [19] Smets, P. & Kennes R. (1994). The Transferable Belief Model. Artificial Intelligence 66, 191-243.
• [20] Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. London: Chapman and Hall.
• [21] Yager, R. R. (1982). Generalized Probabilities of Fuzzy Events from Fuzzy Belief Structures. Information Sciences 28: 45-62.
• [22] Cheng, Y.-L. (2000). Uncertainties in Fault Tree Analysis. Tamkang Journal of Science and Engineering, Vol. 3, No. 1, 23-29.
• [23] Eisinger, S. & Rakowsky, U. K. (2001). Modeling of Uncertainties in Reliability Centered Maintenance – A Probabilistic Approach. Reliability Engineering and System Safety, 71 (2), 159-164.
• [24] International Electrotechnical Commission IEC (2007). Analysis techniques for dependability – Event Tree Analysis. IEC 62502, working document.
• [25] International Electrotechnical Commission IEC (2006-a). Analysis techniques for system reliability – Procedure for failure mode and effects analysis (FMEA). IEC 60812:2006-01, 2nd Edition.
• [26] International Electrotechnical Commission IEC (2006-b). Fault tree analysis (FTA). IEC 61025:2006-12, 2nd Edition.
• [27] International Electrotechnical Commission IEC (1999). Dependability Management – Part 3-11: Application guide – Reliability centred maintenance. IEC 60300-3-11:1999-03, 1st Edition.
• [28] Rakowsky, U. K. & Gocht, U. (appears 2007). Modelling of uncertainties in Reliability Centred Maintenance – a Dempster-Shafer approach. Proceedings of the European Conference on Safety and Reliability – ESREL 2007, Stavanger/Norway. Approved as full paper.
• [29] Stephens, R. A. & Talso, W. (1999-08). System Safety Analysis Handbook – A Source Book for Safety Practitioners. Unionville/Virginia, U.S.A.: System Safety Society, 2nd Edition.