A λ-rough set model and its applications with TOPSIS method to decision making

摘要

As an extension of classical rough sets, the concept of λ-rough sets is introduced in information systems. We put forward the notions of λ-indiscernibility relation and λ-approximation space in information systems. The properties of roughness for λ-approximation space are explored. To illustrate the usefulness of λ-approximation spaces, we provide two approaches to deal with a special type of multiattribute decision-making problems. By comparative analysis, the ranking results based on two different approaches have a high consensus. Although there are some different ranking results of these two methods, the optimal selected alternative is the same.