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February 3rd, 2016, 12:26 AM   #1
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triangular membership function equation explanation?

Although I know the equations for triangular membership function but I can't figure out how they are derived. Are they derived from slope of line concept or by some other concept. Need your help guys.


Last edited by ritz321; February 3rd, 2016 at 12:41 AM.
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February 3rd, 2016, 03:21 AM   #2
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for $a \le x \le b$, slope is $m=\dfrac{1}{b-a}$

point $(x_1,y_1)=(a,0)$ is on the line ...

$y-y_1=m(x-x_1)$

$y-0=\dfrac{1}{b-a}(x-a)$

you may arrive at the equation for the line beteen $b$ and $c$ in the same manner.
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August 25th, 2017, 07:35 PM   #3
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what is the explanation when we have an overlap between two triangles?
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September 2nd, 2017, 04:35 AM   #4
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What "overlap" do you mean?
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