Fused Decision Rules of Multi-Intuitionistic Fuzzy Information Systems Based on the D-S Evidence Theory and Three-Way Decisions

The acquisition of decision rules in multi-intuitionistic fuzzy decision information systems is both challenging and important. To address this issue, it is necessary to combine decision rules from various systems to obtain a more reliable decision rule. Additionally, the use of three-way decisions can help determine the optimal decision value. In this research article, we explore the decision problems of multi-intuitionistic fuzzy decision information systems by utilizing the D-S evidence theory and three-way decisions. We start by providing an overview of the belief structure of intuitionistic fuzzy sets. Then, we propose a fused mass function of decision rules that assists in obtaining satisfactory or optimal decision value sets through three-way decisions. To facilitate the fusion of decision value sets, we present an algorithm that effectively integrates them. Furthermore, we provide examples to illustrate the algorithm and demonstrate the effectiveness and efficiency of our proposed approach.