Sensitivity analysis of structural response uncertainty propagation using evidence theory

Structural and Multidisciplinary Optimization

Volumn 31, Issue 4, 2006, Pages 270-279

  Bae, H R ^a   Grandhi, R V ^a   Canfield, R A ^b  

^a Wright State University   (United States)

^b Air Force Institute of Technology   (United States)

Author keywords

Evidence theory; Plausibility; Sensitivity analysis; Uncertainty quantification

Indexed keywords

LARGE SCALE SYSTEMS; PARAMETER ESTIMATION; PROBABILISTIC LOGICS; RISK MANAGEMENT; SENSITIVITY ANALYSIS;

DEMPSTER SHAFER THEORY; EVIDENCE THEORY; PLAUSIBILITY; UNCERTAINTY QUANTIFICATION;

COMPUTATION THEORY;

EID: 33644982081     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-006-0606-9     Document Type: Article

References (15)

1. Arora JS (1989) Introduction to optimum design. McGraw-Hill, New York
2. Bae H-R, Grandhi RV, Canfield RA (2003) Uncertainty quantification of structural response using evidence theory. AIAA J 41(10):2062-2068
3. Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J Stat Soc 39:1-38
4. Dong W, Shah H (1987) Vertex method for computing functions on fuzzy variables. Fuzzy Sets Syst 24:65-78
5. Elishakoff I (1999) Whys and hows of uncertainty modelling: probability, fuzziness and anti-optimization. Springer, Berlin Heidelberg New York
6. Li C, Rao SS (1998) A modified Dempster-Shafer theory for multicriteria optimization. Eng Optim 30:177-201
7. Oberkampf WL, Helton JC, Sentz K (2001) Mathematical representation of uncertainty. Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference, AIAA-2001-1645, Seattle, 16-19 April 2001
8. Savage LJ (1972) The foundations of statistics. Dover, New York
9. Sentz K, Person S (2002) Combination of evidence in Dempster-Shafer theory. Report SAND2002-0835, Sandia National Laboratories, Albuquerque
10. Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton
11. Walpole RE (1998) Probability and statistics for engineers and scientists. Prentice Hall, Upper Saddle River
12. Yager RR (1987) On the Dempster-Shafer framework and new combination rules. Info Sci 41:93-137
13. Yager RR, Kacprzyk J, Fedrizzi M (1994) Advances in the Dempster-Shafer theory of evidence. Wiley, New York
14. Zadeh L (1965) Fuzzy sets. Inf Control 8:338-353
15. Zadeh L (1984) Review of Shafer's a mathematical theory of evidence. Artif Intell Mag 5:81-83