Multi-Attribute Decision-Making Method Based on Rough Set and Evidence Theory

The information is often uncertain, incomplete, and ignorant and the weights of attributes are not equal to each other in multi-attribute decision-making (MADM). The evidence theory is a method for MADM under uncertainties, but focal element increases rapidly. A feature reduction algorithm based on rough set is used when classification result is almost invariable, on the one hand, adopts a little of attributes to evaluation decision-making problem, reduces the dependence between the evidences and prevents from focal element increasing rapidly; on the other hand, draws the weight of each attribute from the decision table objectively and prevents subjectivity points of the experts. Then an example is given to make out that the method is feasible.