On quasistability of a vector combinatorial problem with Sigma-MINMAX and Sigma-MINMIN partial criteria

On quasistability of a vector combinatorial problem with Sigma-MINMAX and Sigma-MINMIN partial criteria

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We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set.Under quasistability we understand a heelbo website discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the Pareto choice function.A vector problem on a system of subsets of a finite set (trajectorial problem) with non-linear partial criteria is in focus.Two necessary and sufficient conditions for stability of this problem are proved.

Mathematics Subject Classification: 2000, 90C10, 90C05, 7.5ft heavy duty gold metal round wedding arch photo backdrop stand 90C29, 90C31.