@inbook {IOPORT.05295849, author = {Inuiguchi, Masahiro and Yoshioka, Yukihiro}, title = {Several reducts in dominance-based rough set approach.}, year = {2008}, booktitle = {Interval/probabilistic uncertainty and non-classical logics}, isbn = {978-3-540-77663-5}, pages = {163-175}, publisher = {Berlin: Springer}, abstract = {Summary: In this paper, we investigate reducts preserving a structure induced from dominance-based rough sets as well as a structure from variable-precision dominance-based rough sets. It is shown that three kinds of reducts are obtained in the dominance-based rough set approach. For each kind of reduct, a discernibility matrix for the enumeration of the reducts is given. Moreover, it is shown that four kinds of reducts are obtained in the variable-precision dominance-based rough set approach. A counterexample showing the impossibility of reduct enumeration in the case of variable-precision dominance-based rough set approach is given.}, identifier = {05295849}, }