fuzzy-valued function in both MATLAB
MATLAB:
```matlab
% Fuzzy-Valued Function in MATLAB
% Define the fuzzy-valued function
x = 0:0.1:1;
y = fuzzifiedFunction(x);
% Plot the fuzzy-valued function
plot(x, y, 'LineWidth', 2);
grid on;
xlabel('x');
ylabel('f(x)');
title('Fuzzy-Valued Function');
% Fuzzy-valued function definition
function y = fuzzifiedFunction(x)
% Define the membership function values for each x
y = exp(-x.^2);
end
```
In this MATLAB code, we define a fuzzy-valued function `fuzzifiedFunction` that takes an input `x` and returns the corresponding fuzzy value `y`. In this example, the fuzzy values are defined using a Gaussian-shaped membership function `y = exp(-x.^2)`. We then plot the fuzzy-valued function over the range of `x` values.
Mathematica:
```mathematica
(* Fuzzy-Valued Function in Mathematica *)
fuzzifiedFunction[x_] := Exp[-x^2]
Plot[fuzzifiedFunction[x], {x, 0, 1},
AxesLabel -> {"x", "f(x)"},
PlotLabel -> "Fuzzy-Valued Function",
GridLines -> Automatic,
PlotStyle -> Directive[Thick]
]
```
In this Mathematica code, we define the fuzzy-valued function `fuzzifiedFunction` using the same Gaussian-shaped membership function `Exp[-x^2]`. We then use the `Plot` function to visualize the fuzzy-valued function over the range of `x` values.
Both codes produce a plot of the fuzzy-valued function, showing how the output `f(x)` varies with the input `x`.
Good luck
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