MCDMDecision-makingRankingMath steps

WEighted Bi-directional Ideal Ratio Analysis

OriginatorKrstović, S., Stević, Ž., Stjepanović, Ž., Tomić, V.Year2022Sources1Related methods8

WEBIRA (WEighted Bi-directional Ideal Ratio Analysis) is a ranking multi-criteria decision-making (MCDM) method introduced by Krstović, S., Stević, Ž., Stjepanović, Ž., Tomić, V. in 2022. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

Key highlights

  • Follows a transparent, reproducible computational procedure that can be audited step by step.
  • Handles multiple criteria of differing scales and units within a single decision matrix.

Intuition

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How it works

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When to use it

B_i can be any real number. Higher B means the alternative is closer to the ideal and farther from the anti-ideal, summed across all criteria weighted. B_i = 0 means equal proximity to ideal and anti-ideal on a weighted average.

Strengths & limitations

Strengths
  • Follows a transparent, reproducible computational procedure that can be audited step by step.
  • Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Common pitfalls

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Sources

  1. 1.
    Krstović, S., Stević, Ž., Stjepanović, Ž., Tomić, V. (2022). A new multi-criteria decision making method WEBIRA and its application in transport. Operational Research in Engineering Sciences: Theory and Applications

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Cite this page

ScholarGate. (2026, June 2). WEBIRA. ScholarGate. https://scholargate.app/decision-making/webira