An evidence-based fuzzy approach for the safety analysis of uncertain systems

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn , Issue , 2009, Pages

  Rao, Singiresu S ^a   Annamdas, Kiran K ^a  

^a University of Miami College of Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEMPSTER-SHAFER THEORY; ENGINEERING SYSTEMS; EPISTEMIC UNCERTAINTIES; FUZZY APPROACH; FUZZY ARITHMETICS; FUZZY MEMBERSHIP FUNCTION; FUZZY THEORY; INTERVAL-VALUED DATA; MARGIN OF SAFETY; MATHEMATICAL FORMULATION; MULTIPLE SOURCE; SAFETY ANALYSIS; UNCERTAIN PARAMETERS;

COMBINATORIAL OPTIMIZATION; FUZZY LOGIC; FUZZY SETS; SAFETY ENGINEERING; SECURITY SYSTEMS; STRUCTURAL DYNAMICS; UNCERTAINTY ANALYSIS;

MEMBERSHIP FUNCTIONS;

EID: 84855627305     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. Dempster, A. P., "Upper and lower probabilities induced by a multivalued mapping," The Annals of Statistics, Vol. 28, 1967, pp. 325-339.
2. Shafer, G., A Mathematical Theory of Evidence, Princeton University Press, Princeton, NJ, 1976.
3. Zadeh, L., "Fuzzy sets," IEEE Information Control, Vol. IC-8, 1965, pp. 338-353.
4. Chen, L., and Rao, S. S., "Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems," Finite Elements in Analysis and Design, Vol. 27, 1997, pp. 69-83.
5. Rao, S. S., and Sawyer, J. P., "A fuzzy element approach for the analysis of imprecisely-defined systems," AIAA Journal, Vol. 33, No. 12, 1995, pp. 2364-2370.
6. Kaufmann, A., and Gupta, M. M., Introduction to fuzzy arithmetic, Van Nostrand Reinhold Company Inc., 1985.
7. Ross, T. J., Fuzzy logic with engineering applications, McGraw-Hill, Inc., 1995.
8. Mullen, R. L., and Muhanna, R. L., "Bounds of Structural Response for All Possible Loadings," Journal of Structural Engineering, ASCE, Vol. 125, No. 1, 1999, pp 98-106.
9. Muhanna, R. L. and Mullen, R. L., "Uncertainty in Mechanics Problems - Interval-Based Approach," Journal of Engineering Mechanics, ASCE, Vol. 127, No. 6, 2001, pp 557-566.
10. Köyluoglu, U., Cakmak, A.S., and Nielsen, S. R. K., "Interval Algebra to Deal with Pattern Loading and Structural Uncertainties," Journal of Engineering Mechanics, Vol. 121, November 1995, pp. 1149-1157.
11. Rao, S. S., "Engineering Optimization Theory and Practice," 3rd Edition, John Wiley, New York, 1996.