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Z-Number Best-Worst Method

OriginatorAboutorab, Saberi, Asadabadi, Hussain, Chang (UTS Sydney, Australia)Year2018Sources1Related methods10

Z-BWM (Z-Number Best-Worst Method) is a weighting multi-criteria decision-making (MCDM) method introduced by Aboutorab, Saberi, Asadabadi, Hussain, Chang (UTS Sydney, Australia) in 2018. 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

Z-BWM outputs criterion importance weights (sum=1). Higher weight = more important. Pair with any alternative-ranking method (TOPSIS, MARCOS, WASPAS) that consumes a weight vector. Check CR ≤ 0.10 before trusting weights.

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.

Common pitfalls

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Sources

  1. 1.
    Aboutorab, H., Saberi, M., Asadabadi, M.R., Hussain, O., Chang, E. (2018). ZBWM: The Z-number extension of Best Worst Method and its application for supplier development. Expert Systems with Applications
    DOI 10.1016/j.eswa.2018.04.015

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ScholarGate. (2026, June 2). Z-BWM. ScholarGate. https://scholargate.app/decision-making/z-bwm

Z-Number Best-Worst Method | ScholarGate