A Distance-Based Method for Attribute Reduction in Incomplete Decision Systems

Demetrovics, Janos; Thi, Vu Duc; Giang, Nguyen Long

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This paper introduces a new method to prune the domains of the variables in constrained optimization problems where the objective function is defined by a sum $y = Σ x_{i}$ , and where the integer variables $x_{i}$ are subject to difference constraints of the form $x_{j} - x_{i} \leq c$ . An important application area where such problems occur is deterministic scheduling with the mean flow time as optimality criteria. This new constraint is also more general than a sum constraint defined on a set of ordered variables. Classical...