Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability |
| Untertitel | Theories and Applications |
| Seiten | 51-60 |
| Seitenumfang | 10 |
| Publikationsstatus | Veröffentlicht - 2011 |
| Extern publiziert | Ja |
| Veranstaltung | 7th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2011 - Innsbruck, Österreich Dauer: 25 Juli 2011 → 28 Juli 2011 |
Abstract
The prediction of the behavior and reliability of engineering structures and systems is often plagued by uncertainty and imprecision caused by sparse data, poor measurements and linguistic 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 engineering is demonstrated by means of two examples.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
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ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability: Theories and Applications. 2011. S. 51-60.
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Structural reliability assessment with fuzzy probabilities
AU - Beer, Michael
AU - Mingqiang, Zhang
AU - Quek, Ser Tong
AU - Ferson, Scott
PY - 2011
Y1 - 2011
N2 - The prediction of the behavior and reliability of engineering structures and systems is often plagued by uncertainty and imprecision caused by sparse data, poor measurements and linguistic 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 engineering is demonstrated by means of two examples.
AB - The prediction of the behavior and reliability of engineering structures and systems is often plagued by uncertainty and imprecision caused by sparse data, poor measurements and linguistic 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 engineering is demonstrated by means of two examples.
KW - Failure probability
KW - Fuzzy probabilities
KW - Imprecise probabilities
KW - Reliability analysis
UR - http://www.scopus.com/inward/record.url?scp=84883226269&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84883226269
SN - 9783902652409
SP - 51
EP - 60
BT - ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability
T2 - 7th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2011
Y2 - 25 July 2011 through 28 July 2011
ER -