Fuzzy heterogeneous multi-attribute group decision with dual interaction of attributes and alternatives

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 fuzzy numbers (IFNs), and interval-valued intuitionistic fuzzy numbers (IVIFNs), decreasing the complexity and subjective fuzziness of processing. The dual interaction of attributes and alternatives is objectively measured by constructing the alternatives deviation optimization model and multi-attribute alternative interaction network, which is the inaugural achievement in MAGDM. Next, the novel Shapley-Choquet dual interaction superiority integral is defined to fuse non-additive preferences, overcoming the absolute superiority hypothesis of alternative ranking and improving ranking accuracy. Finally, an application study of hot dry rock siting, along with a detailed analysis and discussion, demonstrate the effectiveness, reliability and superiority of the proposed MAGDM method. The TDDV (total discrimination degree based on variance) respectively increased by 52.381%, 99.259%, and 99.647% in the three comparison cases, revealing the significant role of fuzzy heterogeneous preferences and dual interaction of attributes and alternatives in improving the accuracy and reliability of MAGDM and should be simultaneously considered in MAGDM modeling. © 2024 Elsevier Ltd