MCDMDecision-makingAggregationOperatorMath steps

Weighted Arithmetic Mean

OriginatorYager, R. R.Year1988Sources1

WAM (Weighted Arithmetic Mean) is a aggregationoperator multi-criteria decision-making (MCDM) method introduced by Yager, R. R. in 1988. 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; final score determines descending ranking.

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.

Sources

  1. 1.
    Yager, R. R. (1988). On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Transactions on Systems, Man, and Cybernetics

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Cite this page

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

Weighted Arithmetic Mean | ScholarGate