Structural Reliability Analysis and Prediction, 1999. ,
Different methods are needed to propagate ignorance and variability, Reliability Engineering & System Safety, vol.54, issue.2-3, pp.133-144, 1996. ,
DOI : 10.1016/S0951-8320(96)00071-3
Combination of Evidence in Dempster-Shafer Theory, Sandia National Laboratories, 2002. ,
DOI : 10.2172/800792
Statistical Reasoning with Imprecise Probabilities, 1991. ,
DOI : 10.1007/978-1-4899-3472-7
Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, vol.1, issue.1, pp.3-28, 1978. ,
DOI : 10.1016/0165-0114(78)90029-5
Upper and Lower Probabilities Induced by a Multivalued Mapping, The Annals of Mathematical Statistics, vol.38, issue.2, pp.325-339, 1967. ,
DOI : 10.1214/aoms/1177698950
URL : http://projecteuclid.org/download/pdf_1/euclid.aoms/1177698950
A Mathematical Theory of Evidence, 1976. ,
Foundations of a Theory of Random Sets, Stochastic Geometry, pp.322-376, 1974. ,
Automatically Verified Reasoning with Both Intervals and Probability Density Functions, Interval Computations, vol.2, pp.48-70, 1993. ,
DOI : 10.1007/978-1-4613-3440-8_10
Constructing Probability Boxes and Dempster-Shafer Structures, 2003. ,
DOI : 10.2172/809606
Convex Models of Uncertainty in Applied Mechanics, 1990. ,
Interval Analysis, 1966. ,
Special issue: interfaces between fuzzy set theory and interval analysis, Fuzzy Sets and Systems, vol.135, issue.1, pp.1-3, 2002. ,
DOI : 10.1016/S0165-0114(02)00245-2
Development of interval based methods for fuzziness in continuum-mechanics, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, pp.23-45, 1995. ,
DOI : 10.1109/ISUMA.1995.527780
Interval Monte Carlo methods for structural reliability, Structural Safety, vol.32, issue.3, pp.183-190, 2010. ,
DOI : 10.1016/j.strusafe.2010.01.001
Arithmetic and other operations on Dempster-Shafer structures, International Journal of Man-Machine Studies, vol.25, issue.4, pp.357-366, 1986. ,
DOI : 10.1016/S0020-7373(86)80066-9
Probabilistic arithmetic. I. Numerical methods for calculating convolutions and dependency bounds, International Journal of Approximate Reasoning, vol.4, issue.2, pp.89-158, 1990. ,
DOI : 10.1016/0888-613X(90)90022-T
URL : http://axiom.anu.edu.au/%7Ewilliams/ProbabilisticArithmeticScanned.pdf
Bounding the Results of Arithmetic Operations on Random Variables of Unknown Dependency Using Intervals, Reliable Computing, vol.4, issue.2, pp.147-165, 1998. ,
DOI : 10.1023/A:1009933109326
Reliability analysis of rock mass response by means of Random Set Theory, Reliability Engineering & System Safety, vol.70, issue.3, pp.263-282, 2000. ,
DOI : 10.1016/S0951-8320(00)00059-4
A Search Algorithm for Calculating Validated Reliability Bounds, Proceedings of NSF Workshop on Reliable Engineering Computing, 2004. ,
DOI : 10.1007/s11155-006-9025-2
Convergence properties of an interval probabilistic approach to system reliability estimation, International Journal of General Systems, vol.95, issue.4, 2002. ,
DOI : 10.1016/S0020-7373(86)80066-9
Hybrid arithmetic, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, pp.619-623, 1995. ,
DOI : 10.1109/ISUMA.1995.527766
Interval Algebra to Deal with Pattern Loading and Structural Uncertainties, Journal of Engineering Mechanics, vol.121, issue.11, pp.1149-1157, 1995. ,
DOI : 10.1061/(ASCE)0733-9399(1995)121:11(1149)
Development of interval based methods for fuzziness in continuum-mechanics, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society ,
DOI : 10.1109/ISUMA.1995.527780
Fuzzy finite element approach for analysis of imprecisely defined systems, AIAA Journal, vol.33, issue.12, pp.2364-2370, 1995. ,
DOI : 10.2514/3.12910
Finite Element Interval Estimation by Convex Model, Proceedings of 7th ASCE EMD/STD Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, pp.278-281, 1996. ,
Analysis of Uncertain Structural Systems Using Interval Analysis, AIAA Journal, vol.35, issue.4, pp.727-735, 1997. ,
DOI : 10.2514/2.164
Numerical solution of fuzzy linear equations in engineering analysis, International Journal for Numerical Methods in Engineering, vol.8, issue.3, pp.391-408, 1998. ,
DOI : 10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J
Uncertainty in Mechanics Problems???Interval???Based Approach, Journal of Engineering Mechanics, vol.127, issue.6, pp.557-566, 2001. ,
DOI : 10.1061/(ASCE)0733-9399(2001)127:6(557)
Nondeterministic Linear Static Finite Element Analysis: An Interval Approach, PhD Dissertation, School of Civil and Environmental Engineering Georgia Institute of Technology, 2005. ,
DOI : 10.1504/ijrs.2009.026841
A new interval finite element formulation with the same accuracy in primary and derived variables, International Journal of Reliability and Safety, vol.5, issue.3/4, 2011. ,
DOI : 10.1504/IJRS.2011.041184
Finite Element Procedures, 1996. ,
Finite Element Analysis Fundamentals, 1975. ,
Linear Systems with Large Uncertainties, with Applications to Truss Structures, Reliable Computing, vol.10, issue.2, pp.149-172, 2007. ,
DOI : 10.1007/s11155-006-9026-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.7821