Abstract <p>When developing complex systems for technical purposes, the problem of approximating that part of the set of weakly efficient vector estimates (the Slater set) that corresponds to reliable information about the relative importance of particular efficiency criteria is of interest. A universal computational procedure for approximating the Slater set, using the information on the ranking of particular criteria by importance that is received in the interactive mode, makes it possible to purposefully build weakly efficient solutions that correspond to the preferences of the developers.</p>

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Approximation of the Slater Set Taking into Account the Relative Importance of Criteria

  • Ya. I. Rabinovich

摘要

Abstract

When developing complex systems for technical purposes, the problem of approximating that part of the set of weakly efficient vector estimates (the Slater set) that corresponds to reliable information about the relative importance of particular efficiency criteria is of interest. A universal computational procedure for approximating the Slater set, using the information on the ranking of particular criteria by importance that is received in the interactive mode, makes it possible to purposefully build weakly efficient solutions that correspond to the preferences of the developers.