Heterogeneous preferences and the dual interaction of attributes and alternatives are two important features in real-world multi-attribute group decision-making (MAGDM). However, fewer MAGDM studies simultaneously consider heterogeneous preferences and dual interaction, reducing method efficacy and practicability. This study proposes a novel fuzzy heterogeneous MAGDM method considering the dual interaction of attributes and alternatives. First, a similarity-based optimization method is constructed to process fuzzy heterogeneous preferences with triangular fuzzy numbers (TFNs), intuitionistic f...