. 2020 Nov 12;20(22):6474. doi: 10.3390/s20226474

Table 2.

Mathematical descriptions of the membership functions defining optimality degrees of air temperature, relative humidity [16,26,29]. G0: index of failure, G1: Growth stage1, G2: Growth stage2, G3: Growth stage3, A: All light conditions, N: Night, C: Cloud, S: Sun.

Membership Function	Range of Function
$O p t D e g {(T)}_{G 1 A} = {\begin{matrix} 0 \\ \frac{T - T 1_{G 0, m i n}}{T 1_{G 1, m i n} - T 1_{G 0, m i n}} \\ 1 \\ \frac{- (T - T 1_{G 0, m a x})}{T 1_{G 0, m a x} - T 1_{G 1, m a x}} \end{matrix}$	$T 〈 T 1_{G 0, m i n} a n d T 〉 T 1_{G 0, m a x}$ $T 1_{G 0, m i n} \leq T < T 1_{G 0, m i n}$ $T 1_{G 1, m i n} \leq T \leq T 1_{G 1, m a x}$ $T 1_{G 1, m a x} < T \leq T 1_{G 0, m a x}$
$O p t D e g {(T)}_{G 2 S} = {\begin{matrix} 0 \\ \frac{T - T 2_{G 0, m i n}}{T 2_{G 1, \min (s u n)} - T 2_{G 0, m i n}} \\ 1 \\ \frac{- (T - T 2_{G 0, m a x})}{T 2_{G 0, m a x} - T 2_{G 1, \max (s u n)}} \end{matrix}$	$T 〈 T 2_{G 0, m i n} a n d T 〉 T 2_{G 0, m a x}$ $T 2_{G 0, m i n} \leq T < T 2_{G 1, \min (s u n)}$ $T 1_{G 1, \min (s u n)} \leq T \leq T 1_{G 1, \max (s u n)}$ $T 1_{G 1, m a x (s u n)} < T \leq T 1_{G 0, m a x}$
$O p t D e g {(T)}_{G 2 N} = {\begin{matrix} 0 \\ \frac{0.5 (T - T 2_{G 0, m i n})}{T 2_{G 0.5, (n i g h t)} - T 2_{G 0, m i n}} \\ \frac{0.5 (T - T 2_{G 0, m i n})}{T 2_{G 0.5, (n i g h t)} - T 2_{G 0, m i n}} \\ 1 \\ \frac{- (T - T 2_{G 0, m a x})}{T 2_{G 0, m a x} - T 2_{G 1, \max (n i g h t)}} \end{matrix}$	$T 〈 T 2_{G 0, m i n} a n d T 〉 T 2_{G 0, m a x}$ $T 2_{G 0, m i n} \leq T < T 2_{G 0.5, (n i g h t)}$ $T 2_{G 0.5, (n i g h t)} \leq T < T 2_{G 1, \min (n i g h t)}$ $T 2_{G 1, m i n (n i g h t)} \leq T \leq T 2_{G 1, \max (n i g h t)}$ $T 2_{G 1, m a x (n i g h t)} \leq T \leq T 2_{G 1, max}$
$O p t D e g {(T)}_{G 2 S} = {\begin{matrix} 0 \\ \frac{T - T 2_{G 0, m i n}}{T 2_{G 1, \min (c l o u d)} - T 2_{G 0, m i n}} \\ 1 \\ \frac{- (T - T 2_{G 0, m a x})}{T 2_{G 0, m a x} - T 2_{G 1, \max (c l o u d)}} \end{matrix}$	$T 〈 T 2_{G 0, m i n} a n d T 〉 T 2_{G 0, m a x}$ $T 2_{G 0, m i n} \leq T < T 2_{G 1, \min (c l o u d)}$ $T 1_{G 1, \min (c l o u d)} \leq T \leq T 1_{G 1, \max (c l o u d)}$ $T 1_{G 1, m a x (c l o u d)} < T \leq T 1_{G 0, m a x}$
$O p t D e g {(R H)}_{G 1 A} = {\begin{matrix} 0 \\ \frac{R H - R H 1_{G 0}}{R H 1_{G 1, m i n} - R H 1_{G 0}} \\ 1 \end{matrix}$	$R H 〈 R H 1_{G 0}$ $R H 1_{G 0} \leq R H \leq R H_{G 1, \min}$ $R H 〉 R H 1_{G 1, m i n}$
$O p t D e g {(R H)}_{G 2 A} = {\begin{matrix} 0 \\ \frac{R H - R H 2_{G 0, m i n}}{R H 2_{G 1, m i n} - R H 2_{G 0, m i n}} \\ 1 \\ \frac{- (R H - R H 2_{G 0, \max})}{R H 2_{G 0, m a x} - R H 2_{G 1, m a x}} \end{matrix}$	$R H 〈 R H 2_{G 0, m i n} a n d R H 〉 R H 2_{G 0, m a x}$ $R H 2_{G 0, m i n} \leq R H < R H_{G 1, \min}$ $R H 2_{G 1, m i n} \leq R H \leq R H_{G 1, \max}$ $R H 2_{G 1, m a x} < R H \leq R H_{G 1, \max}$
$O p t D e g {(R H)}_{G 3 A} = {\begin{matrix} 0 \\ \frac{R H - R H 3_{G 0, m i n}}{R H 3_{G 1, m i n} - R H 3_{G 0, m i n}} \\ 1 \\ \frac{- (R H - R H 3_{G 0, \max})}{R H 3_{G 0, m a x} - R H 3_{G 1, m a x}} \end{matrix}$	$R H 〈 R H 2_{G 0, m i n} a n d R H 〉 R H 2_{G 0, m a x}$ $R H 2_{G 0, m i n} \leq R H < R H_{G 1, \min}$ $R H 2_{G 1, m i n} \leq R H \leq R H_{G 1, \max}$ $R H 2_{G 1, m a x} < R H \leq R H_{G 0, \max}$