My Math Forum triangular membership function equation explanation?

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 February 3rd, 2016, 12:26 AM #1 Newbie   Joined: Feb 2016 From: india Posts: 1 Thanks: 0 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.
 February 3rd, 2016, 03:21 AM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,770 Thanks: 1424 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.
 August 25th, 2017, 07:35 PM #3 Newbie   Joined: Aug 2017 From: USA Posts: 1 Thanks: 0 what is the explanation when we have an overlap between two triangles?
 September 2nd, 2017, 04:35 AM #4 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 What "overlap" do you mean?

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