Please write a code in Python language to calculate the synthesis of three-dimensional fuzzy matrix

Certainly, here is an example Python code to calculate the synthesis of a three-dimensional fuzzy matrix:

import numpy as np

# Define a three-dimensional fuzzy matrix A with shape (2, 3, 4)
A = np.array([[[0.5, 0.2, 0.3, 0.4],
               [0.7, 0.3, 0.1, 0.6],
               [0.9, 0.1, 0.2, 0.5]],

              [[0.4, 0.6, 0.1, 0.2],
               [0.3, 0.4, 0.5, 0.6],
               [0.2, 0.1, 0.7, 0.8]]])

# Define a function to calculate the synthesis of a three-dimensional fuzzy matrix
def fuzzy_synthesis(A):
    S = np.zeros((A.shape[1], A.shape[2]))
    for i in range(A.shape[0]):
        for j in range(A.shape[1]):
            for k in range(A.shape[2]):
                S[j,k] = max(S[j,k], A[i,j,k])
    return S

# Calculate the synthesis of matrix A
S = fuzzy_synthesis(A)

print("Matrix A:")
print(A)
print("Synthesis of A:")
print(S)

In this example, we define a three-dimensional fuzzy matrix `A` with shape `(2, 3, 4)` using NumPy arrays. We then define a function `fuzzy_synthesis` that takes a three-dimensional matrix as input and returns its synthesis. The function iterates over the three dimensions of the input matrix `A`, and for each element of the output matrix `S` it calculates the maximum value of the corresponding elements of all the layers of `A`. Finally, we call the function with matrix `A` as input and print the result.