Table 4.

The membership functions of fuzzy probabilities

Parameter	${\mu }_{{\tilde{x}}_i}(x_i)$	Domain of xi
${\tilde{x}}_1$	5(x1 − 0.6) − 5(|x1 − 0.8| + x1 − 0.8)	[0.6, 1]
${\tilde{x}}_2$	10(x2 − 0.7) − 10(|x2 − 0.8| − x2 − 0.8)	[0.7, 0.9]
${\tilde{x}}_3$	20(x3 − 0.7) − 20(|x3 − 0.75| + x3 − 0.75)	[0.7, 0.8]
${\tilde{x}}_4$	10(x4 − 0.5) − 10(|x4 − 0.6| + x4 − 0.6)	[0.5, 0.7]
${\tilde{x}}_5$	10(x5 − 0.7) − 10(|x5 − 0.8| + x5 − 0.8)	[0.7, 0.9]
${\tilde{x}}_6$	20(x6 − 0.55) − 20(|x6 − 0.6| + x6 − 0.6)	[0.55, 0.65]
${\tilde{x}}_7$	10(x7 − 0.4) − 10(|x7 − 0.5| + x1 − 0.5)	[0.4, 0.6]
${\tilde{x}}_8$	100(x8) − 100(|x8 − 0.01| + x8 − 0.01)	[0, 0.02]