Simplified interval-valued intuitionistic multiplicative numbers in uncertain group decision making

Interval-valued intuitionistic multiplicative set (IVIMS) has received more and more attention in solving practical problems. The intentions of the decision makers (DMs) can be reflected more objectively by the interval-valued intuitionistic multiplicative numbers (IVIMN), because we use intervals instead of crisp numbers, the unsymmetrical scale instead of the symmetrical scale to show the DMs' preferences. But we also find the existing problems in the application processes. The representation of the IVIMNs is so complicated that it increases our workload and wastes time. To alleviate this, we use two intuitionistic multiplicative numbers (IMNs) to simplify the IVIMN. Then the simplified IVIMN (SIVIMN) and the corresponding simplified IVIMS (SIVIMS) are discussed in this paper. On this basis, we propose the operation laws and prove some properties of them. Then the aggregation operators for the simplified interval-valued intuitionistic multiplicative (SIVIM) information are developed, which is used to propose the SIVIM decision making method. At the end of the paper, we use an example to prove the feasibility of the SIVIMNs and verify their advantages.