Global Sensitivity Analysis of Fuzzy Distribution Parameter on Failure Probability and Its Single-Loop Estimation

Table 6

Results of global sensitivity indices for Example 3.

	MCS	SLS
{Γ𝜎𝑞,Γ𝜎𝑙,Γ𝜎𝐴𝑠,Γ𝜎𝐴𝑐,Γ𝜎𝐸𝑠,Γ𝜎𝐸𝑐}	10^−3×{0.2553,0.4535,0.8478,0.7000,0.7010,0.4694}	10^−3×{0.2385,0.4412,0.8324,0.7132,0.6829,0.4367}
{Γ𝜎𝑞𝜎𝑙,Γ𝜎𝑞𝜎𝐴𝑠,Γ𝜎𝑞𝜎𝐴𝑐,Γ𝜎𝑞𝜎𝐸𝑠,Γ𝜎𝑞𝜎𝐸𝑐}	{0.0009, 0.0010, 0.0011, 0.0009, 0.0009}	{0.0007, 0.0008, 0.0009, 0.0007, 0.0007}
{Γ𝜎𝑙𝜎𝐴𝑠,Γ𝜎𝑙𝜎𝐴𝑐,Γ𝜎𝑙𝜎𝐸𝑠,Γ𝜎𝑙𝜎𝐸𝑐}	{0.0027, 0.0032, 0.0025, 0.0024}	{0.0023, 0.0028, 0.0022, 0.0021}
{Γ𝜎𝐴𝑠𝜎𝐴𝑐,Γ𝜎𝐴𝑠𝜎𝐸𝑠,Γ𝜎𝐴𝑠𝜎𝐸𝑐}	{0.0035, 0.0029, 0.0027}	{0.0028, 0.0025, 0.0023}
{Γ𝜎𝐴𝑐𝜎𝐸𝑠,Γ𝜎𝐴𝑐𝜎𝐸𝑐}	{0.0033, 0.0032}	{0.0027, 0.0026}
{Γ𝜎𝐸𝑠𝜎𝐸𝑐}	{0.0024}	{0.0021}
{Γ𝜎𝑞∣𝜎𝑙,Γ𝜎𝑞∣𝜎𝐴𝑠,Γ𝜎𝑞∣𝜎𝐴𝑐,Γ𝜎𝑞∣𝜎𝐸𝑠,Γ𝜎𝑞∣𝜎𝐸𝑐}	{0.0024, 0.0023, 0.0029, 0.0024, 0.0024}	{0.0021, 0.0020, 0.0027, 0.0021, 0.0021}
{Γ𝜎𝑙∣𝜎𝑞,Γ𝜎𝑙∣𝜎𝐴𝑠,Γ𝜎𝑙∣𝜎𝐴𝑐,Γ𝜎𝑙∣𝜎𝐸𝑠,Γ𝜎𝑙∣𝜎𝐸𝑐}	{0.0023, 0.0070, 0.0084, 0.0069, 0.0069}	{0.0020, 0.0064, 0.0078, 0.0064, 0.0064}
{Γ𝜎𝐴𝑠∣𝜎𝑞,Γ𝜎𝐴𝑠∣𝜎𝑙,Γ𝜎𝐴𝑠∣𝜎𝐴𝑐,Γ𝜎𝐴𝑠∣𝜎𝐸𝑠,Γ𝜎𝐴𝑠∣𝜎𝐸𝑐}	{0.0023, 0.0072, 0.0087, 0.0073, 0.0072}	{0.0020, 0.0066, 0.0080, 0.0067, 0.0067}
{Γ𝜎𝐴𝑐∣𝜎𝑞,Γ𝜎𝐴𝑐∣𝜎𝑙,Γ𝜎𝐴𝑐∣𝜎𝐴𝑠,Γ𝜎𝐴𝑐∣𝜎𝐸𝑠,Γ𝜎𝐴𝑐∣𝜎𝐸𝑐}	{0.0028, 0.0085, 0.0085, 0.0085, 0.0085}	{0.0024, 0.0080, 0.0080, 0.0080, 0.0080}
{Γ𝜎𝐸𝑠∣𝜎𝑞,Γ𝜎𝐸𝑠∣𝜎𝑙,Γ𝜎𝐸𝑠∣𝜎𝐴𝑠,Γ𝜎𝐸𝑠∣𝜎𝐴𝑐,Γ𝜎𝐸𝑠∣𝜎𝐸𝑐}	{0.0024, 0.0072, 0.0073, 0.0087, 0.0070}	{0.0021, 0.0066, 0.0066, 0.0080, 0.0064}
{Γ𝜎𝐸𝑐∣𝜎𝑞,Γ𝜎𝐸𝑐∣𝜎𝑙,Γ𝜎𝐸𝑐∣𝜎𝐴𝑠,Γ𝜎𝐸𝑐∣𝜎𝐴𝑐,Γ𝜎𝐸𝑐∣𝜎𝐸𝑠}	{0.0023, 0.0070, 0.0071, 0.0085, 0.0070}	{0.0020, 0.0064, 0.0064, 0.0067, 0.0064}