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

Table 3

Lower fuzzy coverage probabilities and lower 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
	Lower 𝐶𝑃	Lower 𝐸𝐿	Lower 𝐶𝑃	Lower 𝐸𝐿	Lower 𝐶𝑃	Lower 𝐸𝐿	Lower 𝐶𝑃	Lower 𝐸𝐿	Lower 𝐶𝑃	Lower 𝐸𝐿
0	0.9402	0.7091	0.9456	0.5524	0.9485	0.3908	0.9532	0.3196	0.9500	0.2769
0.1	0.9377	0.7102	0.9426	0.5518	0.9472	0.3908	0.9494	0.3199	0.9464	0.2769
0.2	0.9390	0.7089*	0.9440	0.5516	0.9467	0.3909	0.9466	0.3196	0.9487	0.2768
0.3	0.9425	0.7090	0.9443	0.5518	0.9489	0.3908	0.9465	0.3196	0.9467	0.2768
0.4	0.9443	0.7100	0.9409	0.5521	0.9518	0.3914	0.9467	0.3201	0.9491	0.2772
0.5	0.9414	0.7093	0.9441	0.5513*	0.9493	0.3908	0.9465	0.3195	0.9468	0.2767
0.6	0.9411	0.7088	0.9409	0.5516	0.9466	0.3913	0.9504	0.3196	0.9502	0.2769
0.7	0.9387	0.7101	0.9465	0.5520	0.9480	0.3911	0.9476	0.3195	0.9467	0.2769
0.8	0.9460	0.7109	0.9396	0.5515	0.9469	0.3911	0.9482	0.3194	0.9477	0.2770
0.9	0.9417	0.7090	0.9477	0.5513*	0.9466	0.3907*	0.9481	0.3193*	0.9475	0.2766*
1	0.9408	0.7102	0.9442	0.5515	0.9510	0.3908	0.9511	0.3198	0.9555	0.2769

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