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Z-Number Fuzzy Compromise Ranking from Distance to Ideal Solution

OriginatorPuška, A. Božanić, D. Nedeljković, M. Janošević, M.Year2022Sources1Related methods9

ZF-CRADIS (Z-Number Fuzzy Compromise Ranking from Distance to Ideal Solution) is a ranking 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.

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

Output is a compromise score Q_i per alternative — higher means the alternative is simultaneously closer to the ideal solution and farther from the anti-ideal. The top-ranked alternative is the best green supplier under the expert consensus. Pair this method with ZF-LMAW or any other Z-aware weighting source; the input decision matrix supports per-cell Z-number reliability. When experts are uncertain (low B-rating), the implicit √α down-scaling correctly reduces that cell's influence on the final ranking.

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.
    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

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Cite this page

ScholarGate. (2026, June 2). ZF-CRADIS. ScholarGate. https://scholargate.app/decision-making/zf-cradis

Z-Number Fuzzy Compromise Ranking from Distance to Ideal Solution