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Home›Decision-making›Z-Number Fuzzy Logarithm Methodology of Additive Weights
MCDMWeightingZ number

Z-Number Fuzzy Logarithm Methodology of Additive Weights

ZF-LMAW (Z-Number Fuzzy Logarithm Methodology of Additive Weights) is a weighting multi-criteria decision-making (MCDM) method introduced by Puška, A. Božanić, D. Nedeljković, M. Janošević, M. in 2022. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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ZF-LMAW
FUZZY-ARASFUZZY-MABACFUZZY-MARCOSFUZZY-TOPSISFUZZY-WASPASZ-PROMETHEEZ-TOPSISZF-CRADIS

When to use it

Output is a weight vector summing to 1. The highest weight identifies the most influential criterion. Use these weights downstream in any compatible MCDM ranking method (ZF-CRADIS, fuzzy WASPAS, fuzzy MARCOS, fuzzy TOPSIS, etc.). The B-fuzzy reliability scale lets experts hedge low-confidence priorities — a low B-rating shrinks the effective priority TFN via √α scaling.

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. Puška, A., Božanić, D., Nedeljković, M., Janošević, M. (2022). Green Supplier Selection in an Uncertain Environment in Agriculture Using a Hybrid MCDM Model: Z-Numbers–Fuzzy LMAW–Fuzzy CRADIS Model. Axioms DOI: 10.3390/axioms11090427 ↗

How to cite this page

ScholarGate. (2026, June 2). Z-Number Fuzzy Logarithm Methodology of Additive Weights. ScholarGate. https://scholargate.app/en/decision-making/zf-lmaw

Related methods

FUZZY-ARASFUZZY-MABACFUZZY-MARCOSFUZZY-TOPSISFUZZY-WASPASZ-PROMETHEEZ-TOPSISZF-CRADIS

Which method?

Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

  • FUZZY-ARASDecision-making↔ compare
  • FUZZY-MABACDecision-making↔ compare
  • FUZZY-MARCOSDecision-making↔ compare
  • FUZZY-TOPSISDecision-making↔ compare
  • FUZZY-WASPASDecision-making↔ compare
  • Z-PROMETHEEDecision-making↔ compare
  • Z-TOPSISDecision-making↔ compare
  • ZF-CRADISDecision-making↔ compare
Compare side by side →

Referenced by

ZF-CRADIS

Similar methods

ZF-CRADISF-LMAWLMAWFUZZY-SIWECZ-WASPASZ-TOPSISZ-BWMRAWEC

Related reference concepts

Decision Support SystemsDecision MakingWeighted ScoresCriteria for Decision-Making under Risk and UncertaintyBayesian Model AveragingLogistic Discrimination

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

ScholarGate — ZF-LMAW (Z-Number Fuzzy Logarithm Methodology of Additive Weights). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/zf-lmaw · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Puška, A. Božanić, D. Nedeljković, M. Janošević, M.
Subfamily
Weighting
Year
2022
Type
Logarithmic anti-ideal weighting under Z-number uncertainty with group aggregation
Value Space
Z number
Uncertainty
hybrid
Compensation
full
Related methods
FUZZY-ARASFUZZY-MABACFUZZY-MARCOSFUZZY-TOPSISFUZZY-WASPASZ-PROMETHEEZ-TOPSISZF-CRADIS
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