z	The residual stress
$\sigma \left(y\right)$	Front tension stress
$\overline{\sigma }$	Average front tension stress
$T$	The total strip tension
$F_i$	Residual pressure detected by the sensor
$B$	Strip width
$\overline{F}$	Average value of the radial pressure detected by the sensors
$h$	Strip thickness
e	Width of special hole on the sensor top surface
R	Radius of the shapemeter roll
c	Contact width between the sensor top surface and the roll body
b	Axial length of the sensor
f	Distance between the sensor top surface and the roll outer surface
$E_1$	Sensor elastic modulus
$E_2$	Shapemeter roll elastic modulus
n	Number of sensors in the axial direction of the roll body
${\mu }_2$	Poisson’s ratio of the roll body
a	Sensor diameter
$T_2^j(t)$	Temperature of the roll body at the top of the sensor in the $j\mathrm{th}$ rolling pass
$T_1^j(t)$	Temperature of the top surface of the sensor in the $j\mathrm{th}$ rolling pass
${\alpha }_1$	Thermal expansion coefficient of the sensor
${\alpha }_2$	Thermal expansion coefficient of the shapemeter roll
${\mu }_1$	Poisson's ratio of the sensor
${\eta }_0$	Initial interference at the top surface of the sensor
$P_1$	The pressure that the strip applies to the sensor
$P_2$	Initial pre-pressure of the sensor
$\left[F_1\right]$	The maximum allowable pressure of the sensor
$\left[F_2\right]$	The minimum allowable pressure of the sensor
Xd	The definite part of the random variable
Xp	Random part of the random variable
ε	A small parameter
β	The reliability index
Re	The corresponding reliability
Φ	The standard normal distribution function
$f_1\left(x\right)$	Thermal deformation difference between the contact surfaces
$f_2\left(x\right)$	Reliability sensitivity of the initial interference
$w$	Weighting factor
$x^{*1}$	Optimal point of the single objective functions $f_1\left(x\right)$
$x^{*2}$	Optimal point of the single objective functions $f_2\left(x\right)$