Abstract: The information systems with incomplete attribute
values and fuzzy decisions commonly exist in practical problems. On
the base of the notion of variable precision rough set model for
incomplete information system and the rough set model for
incomplete and fuzzy decision information system, the variable rough
set model for incomplete and fuzzy decision information system is
constructed, which is the generalization of the variable precision
rough set model for incomplete information system and that of rough
set model for incomplete and fuzzy decision information system. The
knowledge reduction and heuristic algorithm, built on the method and
theory of precision reduction, are proposed.