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Journal of Information Science and Engineering, Vol. 26 No. 6, pp. 2199-2211

Limited Dominance-based Rough Set Model and Knowledge Reductions in Incomplete Decision System

GONG-ZHI LUO¹ AND XI-BEI YANG^2,3
¹College of Economic and Management
Nanjing University of Posts and Telecommunications
Nanjing 210046, P.R. China
²School of Computer Science and Technology
Nanjing University of Science and Technology
Nanjing 210094, P.R. China
³Department of Computer Science
San Jose State University
San Jose, CA 95192, U.S.A.

In this paper, we introduce a new rough set approach, which is called the limited dominance-based rough set model into the incomplete decision system. The limited dominance relation is different from the traditional dominance relation in the incomplete environment because we are on the assumption that the unknown value can only be compared with the maximal or minimal value in the domain of the corresponding attribute. By using the limited dominance-based rough set approach, we can obtain higher accuracies of approximations than using the traditional dominance-based rough set in the incomplete decision system. Further on the problems of knowledge reductions in terms of the limited dominance relation is also addressed. Some numerical examples are employed to substantiate the conceptual arguments.

Keywords: dominance-based rough set, incomplete decision system, knowledge reduction, limited dominance relation, unknown value

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