ex_fuzzy.fuzzy_sets.FS.membership

FS.membership(x)

Compute membership degrees for input values.

This method calculates the membership degree(s) for the given input value(s) using the trapezoidal membership function defined by this fuzzy set’s parameters.

Parameters:

x (np.array) – Input value(s) for which to compute membership degrees. Can be a single value, list, or numpy array.

Returns:

Membership degree(s) in the range [0, 1]. Shape matches input.

Return type:

np.array

Example

>>> fs = FS("medium", [2, 3, 7, 8], [0, 10])
>>> print(fs.membership(5))    # 1.0 (in flat region)
>>> print(fs.membership(2.5)) # 0.5 (on rising slope)
>>> print(fs.membership([1, 5, 9])) # [0.0, 1.0, 0.0]