Rough Set Approach to Approximation Reduction in Ordered Decision Table with Fuzzy Decision
Author(s) -
Xiaoyan Zhang,
Shihu Liu,
Weihua Xu
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/268929
Subject(s) - rough set , decision table , mathematics , dominance based rough set approach , decision rule , weighted sum model , fuzzy logic , judgement , fuzzy set , decision analysis , data mining , mathematical optimization , computer science , artificial intelligence , influence diagram , statistics , political science , law
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
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