Attribute Reduction Algorithm on Balancing Profit and Risk

Usually it is taken grant that we achieve the maximal profit and the minimal risk in industry, agriculture, economic activities and social life. It is an important problem in a decision-making process on how to balance profit and risk and find out practical decision-making ways. This paper builds a decision-theoretic model which can balance profit and risk and provide a heuristic search algorithm of the attribute reduction. This algorithm takes the profit and cost as the heuristic function and outputs an optimal attribute set. At last, the example shows that the proposed algorithm is correct and efficient.