MCDMDecision-makingDistanceMath steps

Chebyshev Distance — L∞ norm (maximum coordinate difference)

OriginatorRoy, B.Year1991Sources1Related methods1

DIST-CHEBYSHEV (Chebyshev Distance — L∞ norm (maximum coordinate difference)) is a distance multi-criteria decision-making (MCDM) method introduced by Roy, B. in 1991. 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

d ≥ 0; d=0 iff a=b. Chebyshev Distance is symmetric.

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
  • Results depend on the chosen normalisation, weights, and parameter settings.

Common pitfalls

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Sources

  1. 1.
    Roy, B. (1991). Chebyshev Distance. Journal of Multi-Criteria Decision Analysis

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Cite this page

ScholarGate. (2026, June 2). DIST-CHEBYSHEV. ScholarGate. https://scholargate.app/decision-making/dist-chebyshev