fuzzy data

PHUZZY

• python representation of fuzzy numbers|data
• specify uncertainty easily

Usage

To use phuzzy in a project:

```# create a fuzzy number
p = phuzzy.Triangle(alpha0=[1,4], alpha1=[2],
number_of_alpha_levels=5)
# show alpha levels
p.df
```
```   alpha     l    r
0   0.00  1.00  4.0
1   0.25  1.25  3.5
2   0.50  1.50  3.0
3   0.75  1.75  2.5
4   1.00  2.00  2.0
```

Available shapes

Uniform

```import phuzzy.mpl as phm
uni = phm.Uniform(alpha0=[1, 4], number_of_alpha_levels=5, name="x")
uni.plot(show=True, filepath="uniform.png", title=True)
```

Triangle

```import phuzzy.mpl as phm

tri = phm.Triangle(alpha0=[1, 4], alpha1=[2], number_of_alpha_levels=5)
tri.plot(show=False, filepath="triangle.png", title=True)
```

Trapezoid

```import phuzzy.mpl as phm
trap = phm.Trapezoid(alpha0=[1, 5], alpha1=[2, 3], number_of_alpha_levels=5)
trap.plot(show=False, filepath="trapezoid.png", title=True)
```

TruncNorm

```import phuzzy.mpl as phm
tn = phm.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="x")
tn.plot(show=False, filepath="truncnorm.png", title=True)
```

TruncGenNorm

```import phuzzy.mpl as phm
tgn = phm.TruncGenNorm(alpha0=[1, 4], alpha1=[2, 3], number_of_alpha_levels=15, beta=3.)
tgn.plot(show=False, filepath="truncgennorm.png", title=True)
```

Superellipse

```import phuzzy.mpl as phm
se = phm.Superellipse(alpha0=[-1, 2.], alpha1=None, m=1.0, n=.5, number_of_alpha_levels=17)
se.plot(show=True, filepath="superellipse.png", title=True)
```

Basic operations

```x = phuzzy.Trapezoid(alpha0=[0, 4], alpha1=[2, 3], number_of_alpha_levels=5)
y = phuzzy.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="y")
z = x + y
z.name = "x+y"
```

Substraction

```x = phuzzy.Trapezoid(alpha0=[0, 4], alpha1=[2, 3], number_of_alpha_levels=5)
y = phuzzy.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="y")
z = x - y
z.name = "x-y"
```

Multiplication

```x = phuzzy.Trapezoid(alpha0=[0, 4], alpha1=[2, 3], number_of_alpha_levels=5)
y = phuzzy.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="y")
z = x * y
z.name = "x*y"
```

Division

```x = phuzzy.Trapezoid(alpha0=[0, 4], alpha1=[2, 3], number_of_alpha_levels=5)
y = phuzzy.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="y")
z = x / y
z.name = "x/y"
```

Power

```x = phuzzy.Trapezoid(alpha0=[0, 4], alpha1=[2, 3], number_of_alpha_levels=5)
y = phuzzy.TruncNorm(alpha0=[1, 3], number_of_alpha_levels=15, name="y")
z = x ** y
z.name = "x^y"
```