Fuzzy probability in engineering analyses

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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Externe Organisationen

  • National University of Singapore
  • Applied Biomathematics
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OriginalspracheEnglisch
Titel des SammelwerksVulnerability, Uncertainty, and Risk
UntertitelAnalysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences
Seiten53-61
Seitenumfang9
PublikationsstatusVeröffentlicht - Apr. 2011
Extern publiziertJa
VeranstaltungInternational Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2011 and the International Symposium on Uncertainty Modeling and Analysis, ISUMA 2011 - Hyattsville, MD, USA / Vereinigte Staaten
Dauer: 11 Apr. 201113 Apr. 2011

Publikationsreihe

NameVulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences

Abstract

Predicting the behavior and reliability of engineering structures and systems is often plagued by uncertainty and imprecision caused by sparse data, poor measurements and subjective information. Accounting for such limitations complicates the mathematical modeling required to obtain realistic results in engineering analyses. The framework of imprecise probabilities provides a mathematical basis to deal with these problems which involve both probabilistic and non-probabilistic sources of uncertainty. A common feature of the various concepts of imprecise probabilities is the consideration of an entire set of probabilistic models in one analysis. But there are differences between the concepts in the mathematical description of this set and in the theoretical connection to the probabilistic models involved. This study is focused on fuzzy probabilities, which combine a probabilistic characterization of variability with a fuzzy characterization of imprecision. We discuss how fuzzy modeling can allow a more nuanced approach than interval-based concepts. The application in an engineering analysis is demonstrated by means of an example.

ASJC Scopus Sachgebiete

Zitieren

Fuzzy probability in engineering analyses. / Beer, M.; Ferson, S.
Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences. 2011. S. 53-61 (Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Beer, M & Ferson, S 2011, Fuzzy probability in engineering analyses. in Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences. Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences, S. 53-61, International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2011 and the International Symposium on Uncertainty Modeling and Analysis, ISUMA 2011, Hyattsville, MD, USA / Vereinigte Staaten, 11 Apr. 2011. https://doi.org/10.1061/41170(400)7
Beer, M., & Ferson, S. (2011). Fuzzy probability in engineering analyses. In Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences (S. 53-61). (Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences). https://doi.org/10.1061/41170(400)7
Beer M, Ferson S. Fuzzy probability in engineering analyses. in Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences. 2011. S. 53-61. (Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences). doi: 10.1061/41170(400)7
Beer, M. ; Ferson, S. / Fuzzy probability in engineering analyses. Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences. 2011. S. 53-61 (Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences).
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