A computer implemented method for performing a privacy enhanced comparison of a plurality of data sets includes allocating a private encryption key to each of the data sets; performing an encryption operation for each of the data sets, the encryption operation comprising generating a commutatively encrypted data set of the respective data set, wherein the commutatively encrypted data sets are generated by successively applying a keyed commutative encryption function on the respective data set with the private encryption key of the respective data set itself and with the private encryption keys of the other data sets; and comparing the commutatively encrypted data sets.