<p>Modern decision science recognizes multi-criteria group decision-making (MCGDM) as a significant research area. When addressing real-world MCGDM problems, numerous aspects must be considered, including the complexity and multi-level nature of the issues, the limitations of single evaluation methods, and the bounded rationality behavior of decision-makers (DMs). To address these challenges comprehensively, this paper proposes an extended G-TOPSIS method for hybrid MCGDM, which integrates gray relational analysis (GRA), the technique for order preference by similarity to ideal solution (TOPSIS), and prospect theory. First, the evaluation information of DMs employs hybrid criterion values, including linguistic term sets, interval numbers, crisp values, intuitionistic fuzzy sets, or probabilistic linguistic term sets. Second, by integrating the traditional TOPSIS and GRA methods and incorporating prospect theory, we propose the procedural steps for the extended G-TOPSIS method to address hybrid MCGDM problems. Subsequently, we evaluate the implementation effectiveness of rural revitalization strategies using data from four counties, applying the proposed G-TOPSIS method. Finally, the effectiveness and superiority of the approach are systematically verified.</p>