Table 4 Revisit of Table 2 for trapezoidal fuzzy numbers
x ≻ y | y ≻ x | y ≻ z | z ≻ y | x ≻ z | z ≻ x | |
|---|---|---|---|---|---|---|
V 1 and V 5 | (0.45,0.48, | (0.15,0.19, | (0.45,0.48, | (0.05,0.09, | (0.39,0.42, | (0.15,0.19, |
0.54,0.59) | 0.27,0.31) | 0.54,0.59) | 0.16,0.22) | 0.44,0.48) | 0.27,0.31) | |
V 2 and V 4 | (0.75,0.79, | (0.61,0.65, | (0.15,0.19, | (0.05,0.09, | (0.45,0.48, | (0.25,0.32, |
0.85,0.89) | 0.71,0.75) | 0.27,0.31) | 0.16,0.22) | 0.54,0.59) | 0.35,0.39) | |
V 3 | (0.75,0.79, | (0.05,0.09, | (0.25,0.32, | (0.15,0.19, | (0.61,0.65, | (0.15,0.19, |
0.85,0.89) | 0.16,0.22) | 0.35,0.39) | 0.27,0.31) | 0.71,0.75) | 0.27,0.31) | |
Average | (0.65,0.69, | (0.27,0.31, | (0.28,0.33, | (0.08,0.12, | (0.48,0.52, | (0.18,0.23, |
0.75,0.79) | 0.38,0.43) | 0.39,0.43) | 0.20,0.25) | 0.56,0.61) | 0.30,0.34) | |
V S | θ 1 | θ 2 | θ 3 | θ 4 | θ 5 | θ 6 |