To compare cell arrays of strings in MATLAB, you can use the built-in function strcmp. This function returns a logical array with the same size as the input arrays, indicating whether the corresponding elements are equal or not.

For example, let's say you have two cell arrays of strings, A and B, and you want to compare them: 

A = {'apple', 'banana', 'orange'};
B = {'apple', 'pear', 'orange'};

You can use strcmp to compare them like this: 

C = strcmp(A, B);

This will return a logical array C with the same size as A and B: 

C = 
    1   0   1

In this example, C(1) is 1 because the first element of A and B ("apple") is the same, C(2) is 0 because the second element of A ("banana") is not the same as the second element of B ("pear"), and C(3) is 1 because the third element of A and B ("orange") is the same.

Note that strcmp is case sensitive, so "apple" and "Apple" would be considered different strings. If you want to perform a case-insensitive comparison, you can use the function strcmpi instead.