Three-Way Decision in a Multi-Source Information System and Its Applications

Three-way decision (3WD) is a decision that conforms to human's cognitive pattern and offers a new visual angle for solving practical decision-making problems. An information system (IS) represents relationships between objects and attributes. And a multi-source information system (MSIS) is an IS which composes of multi-source data sets. This paper presents 3WD in an MSIS as well as gives its application in petroleum project investment. Considering that risks are uncertain, loss functions are first given by means of interval numbers. Then, multi-granulation decision-theoretic rough set (MGDTRS) models in a given MSIS are proposed from the point of view of multi-granulation. Next, based on the idea of a decision-theoretic rough set (DTRS), the optimistic and pessimistic 3WDs in the MSIS are proposed. Finally, an example of petroleum project investment is used to support the feasibility of the proposed decision method.