MCDMDecision-makingRankingMath steps

Reference Ideal Method

OriginatorCables, E., Lamata, M. T., Verdegay, J. L.Year2016Sources1Related methods8

RIM (Reference Ideal Method) is a ranking multi-criteria decision-making (MCDM) method introduced by Cables, E., Lamata, M. T., Verdegay, J. L. in 2016. 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

CC_i ∈ [0,1]. Higher CC means the alternative is closer to the reference ideal interval and further from the anti-ideal. RIM generalises TOPSIS: when the reference ideal is a single point (RI_low = RI_high = ideal), RIM reduces to TOPSIS-like distance-to-ideal. The reference ideal interval allows the DM to specify a satisficing range rather than a single ideal point.

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.
    Cables, E., Lamata, M. T., Verdegay, J. L. (2016). RIM-reference ideal method in multicriteria decision making. Information Sciences

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