Upper Approximation Reduction in Intuitionistic Fuzzy Object Information Systems with Dominance Relations
WU Lei1,2, YANG Shan-Lin1, GUO Qing1,2
1.Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei University of Technology, Hefei 230009 2.School of Mathematics, Hefei University of Technology, Hefei 230009
Abstract：The traditional rough set theory can not be directly used to reduce the attributes of intuitionistic fuzzy object information systems(IFOIS) in which the decision attribute values are intuitionistic fuzzy numbers. In this paper, the dominance relation is introduced to intuitionistic fuzzy object information systems. Based on dominance relation, a new definition of the upper approximation decision consistent set of the condition attribute sets is presented and the judgment theorem of the upper approximation reduction is also given. Thus, the upper approximation reduction model of the condition attribute sets is established. Moreover, an algorithm to compute the upper approximation reduction is put forward. In some object information systems in which decision attribute values are intuitionistic fuzzy numbers, more concise decision rules can be obtained via the upper approximation reduction of the condition attribute sets. Finally, an example is given to illustrate the effectiveness of the proposed algorithm.
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2014, Vol. 27 
