Computer program products are provided for anonymizing a database that includes tuples. A respective tuple includes at least one quasi-identifier and sensitive attributes associated with the quasi-identifier. These computer program products include computer readable program code that is configured to (k,e)-anonymize the tuples over a number k of different values in a range e of values, while preserving coupling at least two of the sensitive attributes to one another in the sets of attributes that are anonymized to provide a (k,e)-anonymized database. Related computer systems and methods are also provided.