AbstractIn this study, we propose two optimization-based consensus rules, called consensus rules with minimum adjustments, for multiple attribute group decision making (MAGDM) problems. One of these two consensus rules is to minimize the distance between the original and adjusted preferences, and the other one seeks to minimize the number of adjusted preference values. Based on the consensus rules proposed, we further present an interactive consensus reaching process for MAGDM problems. Finally, we expound the implementation process of the approach with an illustrative example.