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| Rough Set Models of Incomplete Information System Based on Random Fuzzy Set |
| QIU Wei-Gen |
| Faculty of Computer, Guangdong University of Technology, Guangzhou 510090 State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084 |
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Abstract The traditional Pawlak rough set theory has some limitations in treatment of the incomplete information systems, therefore, it is of great importance to study its related theories and methods. A fuzzy-values completion method of incomplete information systems is proposed according to the expert professional knowledge. Two kinds of composite fuzzy relations based on the random fuzzy set are constructed in objects universe, which is a starting point of construction of the composition rough set model. The Krysckiewcz rough set model and the Stefanowki rough set model are generalized to the fuzzy case, and some related important concepts are extended accordingly as well. The results provide a way for the rough set theory to utilize the incomplete information systems.
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Received: 06 December 2007
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2009, Vol. 22 
