MCDMDecision-makingRankingMath steps

Fuzzy WPM (Kahraman-Birgun-Yenen 2008) - Triangular Fuzzy Weighted Product

OriginatorKahraman, C., Birgun, S., Yenen, V. Z.Year2008Sources1Related methods2

FUZZY-WPM (Fuzzy WPM (Kahraman-Birgun-Yenen 2008) - Triangular Fuzzy Weighted Product) is a ranking multi-criteria decision-making (MCDM) method introduced by Kahraman, C., Birgun, S., Yenen, V. Z. in 2008. 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

Fuzzy WPM applies the crisp WP formula componentwise on TFN (l, m, u) ratings and weights, then defuzzifies via centroid. Note this is multiplicative: unit-mismatched criteria can be compared without normalisation, but each rating must be strictly positive.

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.
    Kahraman, C., Birgun, S., Yenen, V. Z. (2008). Fuzzy Multi-Attribute Scoring Methods with Applications (Ch.7 Section 3.2 - Fuzzy Multiplicative Weighting Method). Fuzzy Multi-Criteria Decision Making (Kahraman, C., Ed.)

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Cite this page

ScholarGate. (2026, June 2). FUZZY-WPM. ScholarGate. https://scholargate.app/decision-making/fuzzy-wpm