A Hybrid Approach to Failure Analysis Using Stochastic Petri Nets and Ranking Generalized Fuzzy Numbers

Table 2

Comparison results of Figure 3.

Ranking method	Set 1		Set 2		Set 3		Set 4		Set 5		Set 6		Set 7		Set 8
	A	B	A	B	A	B	A	B	A	B	A	B	A	B	A	B	C
Cheng's method [14]	0.5831	0.7071	0.5831	0.5831	0.5831	0.5831	0.461	0.5831	0.4243	∗	0.5831	0.5831	0.7673	0.7241	0.68	0.7275	0.7462
Chu and Tsao’s method [15]	0.15	0.25	0.15	0.15	0.15	0.15	0.12	0.15	0.15	∗	−0.15	0.15	0.287	0.2619	0.2281	0.2624	0.2784
Murakami et al.’s method [16]	0.3	0.5	0.3	0.4176	0.3	0.3	0.2333	0.3	0.4167	∗	−0.3	0.3	0.6	0.5	0.44	0.5333	0.525
Yager's method [17]	0.3	0.5	0.3	0.3	0.3	0.3	0.3	0.3	0.3	∗	−0.3	0.3	0.6	0.5	0.44	0.5333	0.525
S. J. Chen and S. M. Chen's method [18]	0.4456	0.4884	0.4239	0.4456	0.4456	0.4728	0.3565	0.4456	0.424	0.86	0.4456	0.7473	0.4128	0.4005	0.3719	0.4155	0.3979
S. M. Chen and J. H. Chen’s method [11]	0.2579	0.4298	0.2537	0.2579	0.2579	0.2774	0.2063	0.2579	0.2537	1	−0.258	0.2579	0.4428	0.4043	0.3354	0.4079	0.4196
Lee and Chen's method [19]	0.60976	0.70223	0.61531	0.60976	0.6098	0.6299	0.5098	0.6097	0.6153	0.88	0.5244	0.5223	0.7152	0.6968	0.6507	0.6896	0.6695
The proposed method	0.51578	1.71925	0.50737	0.51577	0.5158	0.5547	0.46419	0.5157	0.5073	3	−0.5158	1.3754	1.6923	0.7692	0.6521	1.6053	1.462