Dominance-based rough set approach for decision analysis: a tutorial

Scientific analysis of decision problems aims at giving the decision maker (DM) a recommendation concerning a set of objects (called also alternatives, solutions, acts, actions, cases, candidates) evaluated wiht respect to a plurality of their characteristics considered relevant for the problem at hand, and called attributes. For example, a decision can regard: 1. diagnosis of pathologies for a set of patients, being the objects of the decision, and the attributes are symptoms and results of medical examinations, 2. assignment to classes of risk for a set of firms, being the objects of the decision, and the attributes are ratio indices and other economic indicators such as the market structure, the technology used by the enterprises, the quality of the management and so on, 3. selection of a car to be bought from a given set of cars, being the objects of the decision, and the attributes are maximum speed, acceleration, price, fuel consumption and so on, 4. ordering of students applying for a scholarship, being the objects of the decision, and the attributes are scores in different disciplines.