Popular Interval Type 2 Fuzzy Sets

pyit2fls.IT2FS_Elliptic(domain, params, check_set=False)

Creates an elliptic IT2FS.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the elliptic IT2FS. The center, width, UMF’s exponent, LMF’s exponent, and height are indicated by params[0], params[1], params[2], params[3], and params[4], respectively.

Returns

output : IT2FS

Returns an elliptic IT2FS with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = IT2FS_Elliptic(domain, [0.5, 0.25, 1.3, 0.7, 0.8])
>>> mySet.plot()

pyit2fls.IT2FS_Semi_Elliptic(domain, params, check_set=False)

Creates a semi-elliptic IT2FS.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the semi-elliptic IT2FS. The center, UMF’s width, LMF’s width, and height are indicated by params[0], params[1], params[2], and params[3], respectively.

Returns

output : IT2FS

Returns a semi-elliptic IT2FS with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = IT2FS_Semi_Elliptic(domain, [0.5, 0.15, 0.05, 0.6])
>>> mySet.plot()

pyit2fls.IT2FS_Gaussian_UncertMean(domain, params, check_set=False)

Creates a Gaussian IT2FS with uncertain mean value.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the Gaussian IT2FS with uncertain mean value. The mean center, mean spread, standard deviation, and height are indicated by params[0], params[1], params[2], and params[3], respectively.

Returns

output : IT2FS

Returns a Gaussian IT2FS with uncertain mean value with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = IT2FS_Gaussian_UncertMean(domain, [0., 0.25, 0.2])
>>> mySet.plot()

pyit2fls.IT2FS_Gaussian_UncertStd(domain, params, check_set=False)

Creates a Gaussian IT2FS with uncertain standard deviation value.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the Gaussian IT2FS with uncertain standard deviation value, the mean, standard deviation center, standard deviation spread, and height are indicated by params[0], params[1], params[2], and params[3], respectively.

Returns

output : IT2FS

Returns a Gaussian IT2FS with uncertain standard deviation value with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = IT2FS_Gaussian_UncertStd(domain, [0.5, 0.2, 0.05, 1.])
>>> mySet.plot()

pyit2fls.IT2FS_RGaussian_UncertStd(domain, params, check_set=False)

Creates a Right Gaussian IT2FS with uncertain standard deviation value.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the Gaussian IT2FS with uncertain standard deviation value, the mean, standard deviation center, standard deviation spread, and height are indicated by params[0], params[1], params[2], and params[3], respectively.

Returns

output : IT2FS

Returns a Gaussian IT2FS with uncertain standard deviation value with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = R_IT2FS_Gaussian_UncertStd(domain, [0.5, 0.2, 0.05, 1.])
>>> mySet.plot()

pyit2fls.IT2FS_LGaussian_UncertStd(domain, params, check_set=False)

Creates a Left Gaussian IT2FS with uncertain standard deviation value.

Parameters

domain : numpy (n,) shaped array

Indicates the universe of discourse dedicated to the IT2FS.

params : list

The parameters of the Gaussian IT2FS with uncertain standard deviation value, the mean, standard deviation center, standard deviation spread, and height are indicated by params[0], params[1], params[2], and params[3], respectively.

Returns

outputIT2FS

Returns a Gaussian IT2FS with uncertain standard deviation value with specified parameters.

Examples

>>> domain = linspace(0., 1., 100)
>>> mySet = L_IT2FS_Gaussian_UncertStd(domain, [0.5, 0.2, 0.05, 1.])
>>> mySet.plot()