Rough Set Approach to Approximation Reduction in Ordered Decision Table with Fuzzy Decision
Xiaoyan Zhang,
Shihu Liu and
Weihua Xu
Mathematical Problems in Engineering, 2011, vol. 2011, 1-16
Abstract:
In practice, some of information systems are based on dominance relations, and values of decision attribute are fuzzy. So, it is meaningful to study attribute reductions in ordered decision tables with fuzzy decision. In this paper, upper and lower approximation reductions are proposed in this kind of complicated decision table, respectively. Some important properties are discussed. The judgement theorems and discernibility matrices associated with two reductions are obtained from which the theory of attribute reductions is provided in ordered decision tables with fuzzy decision. Moreover, rough set approach to upper and lower approximation reductions is presented in ordered decision tables with fuzzy decision as well. An example illustrates the validity of the approach, and results show that it is an efficient tool for knowledge discovery in ordered decision tables with fuzzy decision.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:268929
DOI: 10.1155/2011/268929
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