基于多源卫星数据亚东河流域冰湖溃决灾害危险性分析

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Hazard assessment of potential glacial lake outburst floods in the Yadong River basin based on multisource satellite data

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表4 各区间值对应的隶属函数

Tab.4 The membership function corresponding to the values between regions

区间	I	II	III
a≤x≤(a+b)/2	$\frac{1}{4} - \frac{1}{4} s i n \frac{2 π}{b - a} (x - \frac{3 a + b}{4})$	$\frac{3}{4} + \frac{1}{4} s i n \frac{2 π}{b - a} (x - \frac{3 a + b}{4})$	0
(a+b)/2<x≤b	$\frac{3}{4} + \frac{1}{4} s i n \frac{2 π}{b - a} (\frac{3 a + b}{4} - x)$	$\frac{1}{4} - \frac{1}{4} s i n \frac{2 π}{b - a} (\frac{3 a + b}{4} - x)$	0
b<x≤(b+c)/2	0	$\frac{1}{4} - \frac{1}{4} s i n \frac{2 π}{c - b} (x - \frac{3 b + c}{4})$	$\frac{3}{4} + \frac{1}{4} s i n \frac{2 π}{c - b} (x - \frac{3 b + c}{4})$
(b+c)/2<x≤c	0	$\frac{3}{4} + \frac{1}{4} s i n \frac{2 π}{c - b} (\frac{3 b + c}{4} - x)$	$\frac{1}{4} - \frac{1}{4} s i n \frac{2 π}{c - b} (\frac{3 b + c}{4} - x)$
x>c	0	$\frac{1}{2} s i n \frac{c π}{2 x}$	$1 - \frac{1}{2} s i n \frac{c π}{2 x}$