Framework for Assessing Development Quality of the Digital Rural Economy Under Uncertainty

The evaluation of development quality in the digital rural agricultural economy, against the background of rural revitalization, is a multiple-attribute decision-making (MADM) problem. This study first presents the fundamental operational rules of interval-valued intuitionistic fuzzy sets (IVIFSs), including the Hamacher sum and Hamacher product operations. On this basis, an induced interval-valued intuitionistic fuzzy Hamacher interactive hybrid weighted averaging (I-IVIFHIHWA) operator is proposed, which integrates the advantages of the interval-valued intuitionistic fuzzy Hamacher interactive hybrid weighted averaging operator and the induced ordered weighted averaging operator. Several desirable properties of the I-IVIFHIHWA operator are also investigated. Subsequently, the proposed operator is applied to solve MADM problems within the IVIFS framework. Finally, a practical case concerning the development quality assessment of the digital rural agricultural economy under rural revitalization is presented to verify the validity of the operator.