Extensions of dominance-based rough set approach in incomplete information system |
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| Authors: | Lihua Wei Zhenmin Tang Runyun Wang Xibei Yang |
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| Affiliation: | (1) School of Computer Science and Technology, Nanjing University of Science and Technology, 210094 Nanjing, Jiangsu, P.R. China;(2) School of Computer Science and Technology, Hunan University of Science and Technology, 411201 Xiangtan, Hunan, P.R. China |
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| Abstract: | As one of the useful extensions of classical rough set approach, the dominance-based rough set approach has been successfully
applied into multi-criteria decision problems. However, the traditional dominance-based rough set approach is only suitable
for the condition attributes, which are positively related with classification analysis. To solve this problem, we propose
an extension of the dominance-based rough set approach in incomplete information system by assuming the condition attributes,
which are not only positively but also negatively related with classification analysis. Furthermore, by considering the existence
of unknown values in incomplete information system, we present the concept of valued dominance relation, which shows the probability
of an object is dominating another one with respect to the condition attributes. By using the valued dominance relation, the
fuzzy dominance-based rough set models are also studied. A numerical example is employed to substantiate the conceptual arguments.
The text was submitted in English by the authors. |
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| Keywords: | dominance-based rough set incomplete information system valued dominance relation fuzzy rough set |
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