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As I defined earlier, dominance based rough set theory replaces the indescernibility relation with dominance relation to handle inconsistencies. Dominance is a key concept of dominance based rough set theory; it defines the preference order. Mathematically, we define that, for criteria P which is a subset of conditional attribute set, if an object x dominates object y for every criterion from P, it is called dominance-negative relation of object x. Similarly, if object y dominates object x for every criterion from P, it is called dominance-positive relation of object x.
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