A three-way decision methodology to multi-attribute decision-making in multi-scale decision information systems

Three-way decision (3WD) provides a new perspective and methodology for solving multi-attribute decision-making (MADM) problem. In this paper, we introduce 3WD into a multi-scale decision information system (MS-DIS), which provides a new idea for solving MADM issues in MS-DISs. By using fuzzy membership functions, a multi-scale evaluation information table is first converted into a numerical evaluation value table. To calculate loss functions at two states generated by the decision class partition, a distance-based cost measurement is then defined. With reference to fuzzy sigma-neighborhood classes, conditional probabilities are further calculated and 3WD rules from MS-DISs can be unravelled. As a result, the ranking about all objects in the data is obtained according to expected losses. Finally, a specific numerical example is used to illustrate the effectiveness of the proposed method comparing with other ones. An experimental analysis is also used to describe the superiority of the proposed method. (C) 2021 Elsevier Inc. All rights reserved.