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Recently, many methods based on fuzzy rough sets are proposed to reduce fuzzy attributes. The common characteristic of these methods is that all of them are based on fuzzy equivalence relation. In other words, the underlying concept of rough sets, indispensability relation, is generalized to fuzzy equivalence relation. Here fuzzy equivalence relation is the binary relation, which is reflexive, symmetric...
The generalized rough set theory based on binary relations is the improvement of Pawlak's rough set theory to deal with more complex practical problems which the latter one can not easily handle. For a given generalized approximation space, there are two traditional forms of definition of the lower approximation, it is important to reveal the inner relationship between the two definition forms. On...
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