MCDMDecision-makingAggregationOperatorMath steps

Choquet Integral — Non-additive aggregation

OriginatorMurofushi, T., Sugeno, M.Year1989Sources1

CHOQUET-INTEGRAL (Choquet Integral — Non-additive aggregation) is a aggregationoperator multi-criteria decision-making (MCDM) method introduced by Murofushi, T., Sugeno, M. in 1989. 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

Apply F.steps in order.

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.

Sources

  1. 1.
    Murofushi, T., Sugeno, M. (1989). An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Fuzzy Sets and Systems

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Cite this page

ScholarGate. (2026, June 2). CHOQUET-INTEGRAL. ScholarGate. https://scholargate.app/decision-making/choquet-integral

Choquet Integral | ScholarGate