Mixing
How to calculate fuzzy operation for these numbers?
$begingroup$
Let fuzzy number $A(x)$ be given as a gaussian membershipt function:
$μ_A (x) = e^{-(frac{x-10}{4})^2} $
and fuzzy number $B(y)$ be given as a trapezoidal membership function $μ_B (y) =begin{cases}
0, & xleq- 7\
frac{(x+7)}{5}, & -7xleq-2\
1, & -2<xleq 2\
frac{(7-x)}{5}, & 2<xleq 7\
0, & 7>x\
end{cases}$.
Find $A+B$, $B-A$, $A*B$, $A/B$. Use Extension Principle Method.
I can't find any reference on the Internet how to tackle this problem
fuzzy-logic fuzzy-set
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
$endgroup$
add a comment |
$begingroup$
Let fuzzy number $A(x)$ be given as a gaussian membershipt function:
$μ_A (x) = e^{-(frac{x-10}{4})^2} $
and fuzzy number $B(y)$ be given as a trapezoidal membership function $μ_B (y) =begin{cases}
0, & xleq- 7\
frac{(x+7)}{5}, & -7xleq-2\
1, & -2<xleq 2\
frac{(7-x)}{5}, & 2<xleq 7\
0, & 7>x\
end{cases}$.
Find $A+B$, $B-A$, $A*B$, $A/B$. Use Extension Principle Method.
I can't find any reference on the Internet how to tackle this problem
fuzzy-logic fuzzy-set
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
$endgroup$
add a comment |
$begingroup$
Let fuzzy number $A(x)$ be given as a gaussian membershipt function:
$μ_A (x) = e^{-(frac{x-10}{4})^2} $
and fuzzy number $B(y)$ be given as a trapezoidal membership function $μ_B (y) =begin{cases}
0, & xleq- 7\
frac{(x+7)}{5}, & -7xleq-2\
1, & -2<xleq 2\
frac{(7-x)}{5}, & 2<xleq 7\
0, & 7>x\
end{cases}$.
Find $A+B$, $B-A$, $A*B$, $A/B$. Use Extension Principle Method.
I can't find any reference on the Internet how to tackle this problem
fuzzy-logic fuzzy-set
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
$endgroup$
Let fuzzy number $A(x)$ be given as a gaussian membershipt function:
$μ_A (x) = e^{-(frac{x-10}{4})^2} $
and fuzzy number $B(y)$ be given as a trapezoidal membership function $μ_B (y) =begin{cases}
0, & xleq- 7\
frac{(x+7)}{5}, & -7xleq-2\
1, & -2<xleq 2\
frac{(7-x)}{5}, & 2<xleq 7\
0, & 7>x\
end{cases}$.
Find $A+B$, $B-A$, $A*B$, $A/B$. Use Extension Principle Method.
I can't find any reference on the Internet how to tackle this problem
fuzzy-logic fuzzy-set
fuzzy-logic fuzzy-set
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
edited Jan 30 at 18:50
jjpawlica
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
asked Jan 30 at 18:33
jjpawlicajjpawlica
33
33
add a comment |
add a comment |
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