MCDMDecision-makingRankingMath steps

Z-Number Preference Ranking Organization Method (II)

OriginatorMahammad Nuriyev (Khazar University, Baku, Azerbaijan); builds on Brans-Vincke 1985 PROMETHEEYear2020Sources1Related methods10

Z-PROMETHEE (Z-Number Preference Ranking Organization Method (II)) is a ranking multi-criteria decision-making (MCDM) method introduced by Mahammad Nuriyev (Khazar University, Baku, Azerbaijan); builds on Brans-Vincke 1985 PROMETHEE in 2020. 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-PROMETHEE outputs alternative net flows Φ(a). Higher Φ = better alternative. Φ ranges roughly within [−(m−1), (m−1)] though practical values are smaller. Inspect Φ+ (strengths) and Φ− (weaknesses) for interpretation beyond final rank.

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.
    Nuriyev, M. (2020). Z-numbers Based Hybrid MCDM Approach for Energy Resources Ranking and Selection. International Journal of Energy Economics and Policy

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Cite this page

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

Z-Number Preference Ranking Organization Method (II)