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Home›Decision-making›Z-Number Analytic Hierarchy Process
MCDMWeightingZ number

Z-Number Analytic Hierarchy Process

Z-AHP (Z-Number Analytic Hierarchy Process) is a weighting multi-criteria decision-making (MCDM) method introduced by Mahammad Nuriyev (Khazar University, Baku, Azerbaijan) in 2020. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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Z-AHP
TOPSISZ-COPRASZ-EDASZ-MARCOSZ-PROMETHEEZ-TOPSISZ-VIKORZ-WASPASZF-CRADIS

When to use it

Z-AHP outputs criterion importance weights (sum=1). Higher weight = more important. Pair with any alternative-ranking method (Z-TOPSIS, Z-PROMETHEE per Nuriyev's hybrid) that consumes a weight vector. For multi-level hierarchies, compute weights level-by-level and combine via Saaty's hierarchical aggregation.

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. Nuriyev, M. (2020). Z-numbers Based Hybrid MCDM Approach for Energy Resources Ranking and Selection. International Journal of Energy Economics and Policy DOI: 10.32479/ijeep.9950 ↗

How to cite this page

ScholarGate. (2026, June 2). Z-Number Analytic Hierarchy Process. ScholarGate. https://scholargate.app/en/decision-making/z-ahp

Related methods

TOPSISZ-COPRASZ-EDASZ-MARCOSZ-PROMETHEEZ-TOPSISZ-VIKORZ-WASPAS

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.

  • TOPSISDecision-making↔ compare
  • Z-COPRASDecision-making↔ compare
  • Z-EDASDecision-making↔ compare
  • Z-MARCOSDecision-making↔ compare
  • Z-PROMETHEEDecision-making↔ compare
  • Z-TOPSISDecision-making↔ compare
  • Z-VIKORDecision-making↔ compare
  • Z-WASPASDecision-making↔ compare
Compare side by side →

Referenced by

Z-PROMETHEEZF-CRADIS

Similar methods

Z-PROMETHEEZ-BWMZ-TOPSISHF-AHPAHPZ-WASPASZ-VIKORZF-LMAW

Related reference concepts

Decision Support SystemsDecision MakingWeighted ScoresCriteria for Decision-Making under Risk and UncertaintyEvaluation CriteriaHierarchical Cluster Analysis

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

ScholarGate — Z-AHP (Z-Number Analytic Hierarchy Process). Retrieved 2026-07-20 from https://scholargate.app/en/decision-making/z-ahp · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Mahammad Nuriyev (Khazar University, Baku, Azerbaijan)
Subfamily
Weighting
Year
2020
Type
Hierarchical pairwise comparison weighting under Z-number uncertainty
Value Space
Z number
Uncertainty
hybrid
Compensation
full
Related methods
TOPSISZ-COPRASZ-EDASZ-MARCOSZ-PROMETHEEZ-TOPSISZ-VIKORZ-WASPAS
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