Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data

Table 4

Upper fuzzy coverage probabilities and upper expected lengths for 95% confidence interval where 𝑚=10,000 and 𝐶𝑃≥0.9464.

𝛼-cut	𝑛=30		𝑛=50		𝑛=100		𝑛=150		𝑛=200
	Upper 𝐶𝑃	Upper 𝐸𝐿	Upper 𝐶𝑃	Upper 𝐸𝐿	Upper 𝐶𝑃	Upper 𝐸𝐿	Upper 𝐶𝑃	Upper 𝐸𝐿	Upper 𝐶𝑃	Upper 𝐸𝐿
0	0.9392	0.7092	0.9460	0.5514	0.9469	0.3908	0.9465	0.3197	0.9501	0.2769
0.1	0.9435	0.7112	0.9466	0.5511	0.9466	0.3910	0.9494	0.3194	0.9482	0.2768
0.2	0.9404	0.7117	0.9482	0.5516	0.9475	0.3909	0.9483	0.3196	0.9465	0.2768
0.3	0.9360	0.7098	0.9425	0.5516	0.9470	0.3914	0.9477	0.3197	0.9470	0.2771
0.4	0.9384	0.7092	0.9441	0.5506*	0.9484	0.3911	0.9475	0.3193	0.9470	0.2767
0.5	0.9411	0.7101	0.9444	0.5514	0.9465	0.3912	0.9474	0.3197	0.9477	0.2769
0.6	0.9420	0.7101	0.9410	0.5517	0.9509	0.3908	0.9465	0.3196	0.9467	0.2768
0.7	0.9426	0.7084	0.9421	0.5511	0.9477	0.3906*	0.9466	0.3191*	0.9474	0.2765*
0.8	0.9400	0.7096	0.9425	0.5514	0.9475	0.3910	0.9508	0.3195	0.9466	0.2768
0.9	0.9387	0.7075*	0.9436	0.5522	0.9469	0.3907	0.9509	0.3198	0.9475	0.2768
1	0.9453	0.7103	0.9412	0.5509	0.9466	0.3907	0.9489	0.3195	0.9525	0.2767

Coverage probabilities that are higher than the expected confidence coefficient are shown in bold numbers.
∗The narrowest expected length.