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Home›Decision-making›Weighted Arithmetic Mean
MCDMAggregationOperatorcrisp

Weighted Arithmetic Mean

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.

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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. Yager, R. R. (1988). On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Transactions on Systems, Man, and Cybernetics DOI: 10.1109/21.87068 ↗

How to cite this page

ScholarGate. (2026, June 2). Weighted Arithmetic Mean. ScholarGate. https://scholargate.app/en/decision-making/wam

Similar methods

OWAWSMPF-WASPASPF-WPMQR-WPMWASPASWPMQR-WASPAS

Related reference concepts

Weighted ScoresDecision MakingDecision Support SystemsScoring FormulasEvaluation CriteriaApplied Mathematics

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — WAM (Weighted Arithmetic Mean). Retrieved 2026-07-20 from https://scholargate.app/en/decision-making/wam · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Yager, R. R.
Subfamily
AggregationOperator
Year
1988
Type
Linear additive aggregation operator
Value Space
crisp
Uncertainty
None
Compensation
full
Rank Reversal
No
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