p = phuzzy.Triangle(alpha0=[1,4], alpha1=[2], number_of_alpha_levels=5)

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

p = phuzzy.Trapezoid(alpha0=[1,4], alpha1=[2,3], number_of_alpha_levels=5)

p.df

   alpha     l     r
0   0.00  1.00  4.00
1   0.25  1.25  3.75
2   0.50  1.50  3.50
3   0.75  1.75  3.25
4   1.00  2.00  3.00

p = phuzzy.TruncNorm(alpha0=[1,3], number_of_alpha_levels=15, name="x")

p.df

       alpha         l         r
0   0.000000  1.000000  3.000000
1   0.071429  1.234184  2.765816
2   0.142857  1.342402  2.657598
3   0.214286  1.414912  2.585088
4   0.285714  1.472370  2.527630
5   0.357143  1.521661  2.478339
6   0.428571  1.566075  2.433925
7   0.500000  1.607529  2.392471
8   0.571429  1.647354  2.352646
9   0.642857  1.686656  2.313344
10  0.714286  1.726558  2.273442
11  0.785714  1.768503  2.231497
12  0.857143  1.814923  2.185077
13  0.928571  1.871675  2.128325
14  1.000000  2.000000  2.000000

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)

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)

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"

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"

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"

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"

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"

Ingolf Lepenies (2018): phuzzy - a python package for fuzzy data.
Zenodo. http://doi.org/10.5281/zenodo.1219616

@article{phuzzy,
title={phuzzy - a python package for fuzzy data},
DOI={10.5281/zenodo.1219616},
publisher={Zenodo},
author={Ingolf Lepenies},
year={2018}}