Global Sensitivity Analysis of the Failure Probability Upper Bound to Random and Fuzzy Inputs

[1]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[2]  Meng Zhao,et al.  An Approach to Consensus Measure Based on Possibility Degrees of PLTSs in Group Decision Making , 2018, Int. J. Fuzzy Syst..

[3]  Z. Qiu,et al.  Optimization-based inverse analysis for membership function identification in fuzzy steady-state heat transfer problem , 2017, Structural and Multidisciplinary Optimization.

[4]  Huayou Chen,et al.  Ranking Interval-Valued Fuzzy Numbers with Intuitionistic Fuzzy Possibility Degree and Its Application to Fuzzy Multi-Attribute Decision Making , 2017, Int. J. Fuzzy Syst..

[5]  Ahmad Makui,et al.  A Hybrid Fuzzy-Intelligent System for Group Multi-Attribute Decision Making , 2016, Int. J. Fuzzy Syst..

[6]  Zhiping Qiu,et al.  Fuzzy interval perturbation method for uncertain heat conduction problem with interval and fuzzy parameters , 2015 .

[7]  Xufeng Yang,et al.  Parametric Sensitivity Analysis for Importance Measure on Failure Probability and Its Efficient Kriging Solution , 2015 .

[8]  Jun Yang,et al.  Generalized moment-independent importance measures based on Minkowski distance , 2014, Eur. J. Oper. Res..

[9]  Zhenzhou Lu,et al.  Importance analysis on the failure probability of the fuzzy and random system and its state dependent parameter solution , 2014, Fuzzy Sets Syst..

[10]  Zhenzhou Lu,et al.  The uncertainty importance measures of the structural system in view of mixed uncertain variables , 2014, Fuzzy Sets Syst..

[11]  Dejie Yu,et al.  An interval random perturbation method for structural‐acoustic system with hybrid uncertain parameters , 2014 .

[12]  Mihai Anitescu,et al.  Mixed Aleatory/Epistemic Uncertainty Quantification for Hypersonic Flows via Gradient-Based Optimization and Surrogate Models , 2012 .

[13]  Wei Li,et al.  Importance measure system of fuzzy and random input variables and its solution by point estimates , 2011 .

[14]  M. Tootkaboni,et al.  A multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties , 2010 .

[15]  Zhen-zhou Lü,et al.  Moment-independent importance measure of basic random variable and its probability density evolution solution , 2010 .

[16]  Laura Painton Swiler,et al.  Efficient algorithms for mixed aleatory-epistemic uncertainty quantification with application to radiation-hardened electronics. Part I, algorithms and benchmark results. , 2009 .

[17]  Xiaoping Du,et al.  Reliability sensitivity analysis with random and interval variables , 2009 .

[18]  Enrique F. Castillo,et al.  Sensitivity analysis in optimization and reliability problems , 2008, Reliab. Eng. Syst. Saf..

[19]  Ravi C. Penmetsa,et al.  Confidence bounds on component reliability in the presence of mixed uncertain variables , 2008 .

[20]  Emanuele Borgonovo,et al.  A new uncertainty importance measure , 2007, Reliab. Eng. Syst. Saf..

[21]  Didier Dubois,et al.  Joint Propagation and Exploitation of Probabilistic and Possibilistic Information in Risk Assessment , 2006, IEEE Transactions on Fuzzy Systems.

[22]  Ruichen Jin,et al.  Analytical Variance-Based Global Sensitivity Analysis in Simulation-Based Design Under Uncertainty , 2005, DAC 2004.

[23]  Yun-Hsi O. Chang.  Hybrid fuzzy least-squares regression analysis and its reliability measures , 2001, Fuzzy Sets Syst..

[24]  I. Sobola,et al.  Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates , 2001 .

[25]  Christer Carlsson,et al.  On Possibilistic Mean Value and Variance of Fuzzy Numbers , 1999, Fuzzy Sets Syst..

[26]  L. Zadeh.  Fuzzy sets as a basis for a theory of possibility , 1999 .

[27]  Scott Ferson,et al.  Hybrid processing of stochastic and subjective uncertainty data , 1995 .

[28]  I. Elishakoff.  Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling , 1995 .

[29]  Junfeng Zhao,et al.  Sensitivity Analysis of the Fuzzy Mean-Entropy Portfolio Model with Transaction Costs Based on Credibility Theory , 2018, Int. J. Fuzzy Syst..

[30]  Mahesh D. Pandey,et al.  An effective approximation for variance-based global sensitivity analysis , 2014, Reliab. Eng. Syst. Saf..

[31]  Zhang Yi-shan,et al.  Moment-independent importance measure of dynamic reliability for double random vibration systems and its state dependent parameter solution , 2014 .

[32]  F. Hasani,et al.  Sensitivity analysis for fuzzy linear programming problems with fuzzy variables , 2010 .

[33]  Kang Chun,et al.  RELIABILITY SENSITIVITY ANALYSIS BASED ON ADAPTIVE IMPORTANCE SAMPLING METHOD , 2007 .

[34]  Didier Dubois,et al.  Hybrid approach for addressing uncertainty in risk assessments , 2003 .

[35]  Christian Cremona,et al.  The possibilistic reliability theory: theoretical aspects and applications , 1997 .

[36]  I. Elishakoff,et al.  Convex models of uncertainty in applied mechanics , 1990 .