Association Rule mining literature is witnessing a shift of focus from generating positive rules to the discovery of negative rules. A review of previous literature on negative rule mining that incorporate objective and subjective interestingness measures has been done. Then, an extension, to Fuzzy Set Concept for generating and mining negative rules is made. This work also presents unaddressed issues in mining of both positive and negative rules. Business applications that gain useful insights from both positive and negative rules have been highlighted.