skcriteria.agg.vikor module

VIKOR method.

class skcriteria.agg.vikor.VIKOR(*, v=0.5, use_compromise_set=True)[source]

Bases: SKCDecisionMakerABC

The VIKOR Method for Multi-Criteria Decision Making.

VIKOR (VIseKriterijumska Optimizacija I Kompromisno Resenje) introduces the concept of a compromise solution, which is a feasible solution that is closest to the ideal, and represents a balance between the majority rule (group utility) and the individual regret of the opponent.

The method evaluates alternatives by converting an n-criteria decision problem into a bi-criteria one using the Manhattan distance (\(S_k\), or group utility) and the Chebyshev distance (\(R_k\), or individual regret). These are then combined into a single aggregated score (\(Q_k\)) using a weight factor \(v\) that reflects the decision-making strategy: emphasis on group utility (high \(v\)) or individual regret (low \(v\)).

VIKOR allows the identification of a single compromise solution if the following two conditions are met:

  • Acceptable advantage:

    The best-ranked alternative is sufficiently better than the second.

  • Acceptable stability:

    The best-ranked alternative must also be the best in at least one of the original distance metrics.

Otherwise, it identifies a set of compromise solutions.

Parameters:

  • v (float, optional, default=0.5) – The strategy weight that reflects the decision-making tendency. v = 0 gives full weight to the Chebyshev distance (individual regret), v = 1 gives full weight to the Manhattan distance (group utility), and v = 0.5 balances both. Must satisfy 0 <= v <= 1.

  • use_compromise_set (bool, optional, default=True) – If True, all alternatives within the identified compromise set are ranked equally at the top position (rank 1). If False, only the best \(Q_k\) remains at the top rank, and it is up to the user to examine the compromise set afterwards.

Warning

UserWarning:

Division by zero may occur during scaling if any criterion has identical values across all alternatives, or there is identical group utility or individual regret across all alternatives.

References

[Opricovic & Tzeng, 2004]

property v

The strategy weight for VIKOR.

property use_compromise_set

Whether to use the compromise set in ranking.