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Uncertainty Theories: Overview

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Encyclopedia of Earthquake Engineering
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Synonyms

Overview of Uncertainty in Earthquake Engineering; Uncertainty in Earthquake Engineering Background; Uncertainty in Earthquake Engineering Introduction; Uncertainty in Earthquake Engineering Overview

Introduction

Uncertainty is associated with many aspects of earthquake engineering. Considerable uncertainty resides in the prediction of earthquake occurrence, prediction of seismic forces, estimated capacity of a structural system to withstand such forces, and consequences associated with seismic events. This challenging problem lends itself to information/partial knowledge and uncertainty in many forms.

Traditionally, probabilistic methods have often been employed to systematically treat the inherent uncertainty in earthquake engineering applications. Notably, probability theory is used in seismic hazard analysis first outlined by Cornell (1968). Probabilistic methods also underlie load and resistance criteria for structural design. A probabilistic design methodology is based...

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References

  • Ang AH-S, Tang WH (2007) Probability concepts in engineering emphasis on applications to civil and environmental engineering, 2nd edn. Wiley, Hoboken

    Google Scholar 

  • Applied Technology Council (1985) Earthquake damage evaluation data for California (ATC 13). Applied Technology Council (ATC), Redwood City

    Google Scholar 

  • Benjamin JR, Cornell CA (1970) Probability, statistics, and decision for civil engineers. McGraw-Hill, New York

    Google Scholar 

  • Cornell AC (1968) Engineering seismic risk analysis. Bull Seismol Soc Am 58(5):1583–1606

    Google Scholar 

  • Cornell AC (1969) A probability-based structural code. ACI J 66:974–985

    Google Scholar 

  • Cornell AC, Krawinkler H (2000) Progress and challenges in seismic performance assessment. PEER Center News, vol 3, no. 2

    Google Scholar 

  • Dempster AP (1967) Upper and lower probabilities induced by a multivalued mapping. Ann Math Stat 38(2):325–359

    Article  MathSciNet  MATH  Google Scholar 

  • Dubois D, Prade H (1988) Possibility theory: an approach to computerized processing of uncertainty. Plenum, New York

    Book  MATH  Google Scholar 

  • Ellingwood BR, Galambos TV, MacGregor JG, Cornell CA (1980) Development of a probability based load criterion for American National Standard A58. National Bureau of Standards, U.S. Department of Commerce, Washington, DC

    Book  Google Scholar 

  • Federal Emergency Management Agency (FEMA) (1997) FEMA 273, NEHRP guidelines for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  • Federal Emergency Management Agency (FEMA) (2000) FEMA 356, prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  • Hacking I (2006) The emergence of probability: a philosophical study of early ideas about probability intuition and statistical inference, Secondth edn. Cambridge University Press, Cambridge, UK

    Google Scholar 

  • Klir GJ (2006) Uncertainty and information foundations of generalized information theory. Wiley, Hoboken

    MATH  Google Scholar 

  • Klir GJ, Smith RM (2001) On measuring uncertainty and uncertainty-based information: recent developments. Ann Math Artif Intell 32(1–4):5–33

    Article  MathSciNet  Google Scholar 

  • Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic theory and applications. Prentice Hall, Upper Saddle River

    MATH  Google Scholar 

  • National Institute of Building Sciences (1997) HAZUS earthquake loss estimation methodology. NIBS Document No. 5201. Federal Emergency Management Agency. Washington, DC

    Google Scholar 

  • Porter K (2003) An overview of PEER’s performance-based earthquake engineering methodology. Ninth international conference of applications of statistics and probability in civil engineering (ICASP9), San Francisco, 6–9 July 2003

    Google Scholar 

  • Ravindra MK, Galambos TV (1978) Load and resistance factor design for steel. J Struct Div Am Soc Civil Eng (ASCE) 104:1337––1353

    Google Scholar 

  • Ross TJ (2010) Fuzzy logic with engineering applications, 3rd edn. Wiley, West Sussex

    Book  Google Scholar 

  • Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton

    MATH  Google Scholar 

  • Shafer G (1987) Belief functions and possibility measures. In: Bezdek JC (ed) Analysis of fuzzy information, vol 1, Mathematics and logic. CRC Press, Boca Raton

    Google Scholar 

  • Shafer G (2012) A mathematical theory of evidence. Glenn Shafer, http://www.glennshafer.com/books/amte.html. 7 Nov 2012

  • Smets P (1994) What is Dempster-Shafer’s model? Advances in the Dempster-Shafer theory of evidence. Wiley, New York, pp 5–34

    Google Scholar 

  • Vick SG (2002) Degrees of belief subjective probability and engineering judgment. American Society of Civil Engineers (ASCE) Press, Reston

    Google Scholar 

  • Whitman RV (1973) Damage probability matrices for prototype buildings, Massachusetts Institute of Technology Department of Civil Engineering, Research Report R73–57. MIT Press, Cambridge, MA

    Google Scholar 

  • Whitman RV, Hong S, Reed JW (1973) Damage Statistics for High-Rise Buildings in the Vicinity of the San Fernando Earthquake, Massachusetts Institute of Technology Department of Civil Engineering, Research Report R73–24. MIT Press, Cambridge, MA

    Google Scholar 

  • Yager RR, Liu L (2008) In: Kacprzyk J (ed) 1 Classic Works of the Dempster-Shafer Theory of Belief Functions: An Introduction, vol 219, Studies in fuzziness and soft computing. Springer, New York

    Chapter  Google Scholar 

  • Zadeh LA (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Set Syst 1:3–28

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1986) A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination. AI Mag 7(2):85–90

    Google Scholar 

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Correspondence to E. Elwood .

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Elwood, E., Corotis, R. (2015). Uncertainty Theories: Overview. In: Beer, M., Kougioumtzoglou, I.A., Patelli, E., Au, SK. (eds) Encyclopedia of Earthquake Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35344-4_164

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