MCDMDecision-makingRankingMath steps

Neutrosophic extension of AROMAN

OriginatorBošković et al.Year2023Sources1Related methods8

N-AROMAN (Neutrosophic extension of AROMAN) is a ranking multi-criteria decision-making (MCDM) method introduced by Bošković et al. in 2023. 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

n-aroman extends AROMAN to handle Neutrosophic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Single-Valued Neutrosophic Set (SVNS: T, I, F; T,I,F ∈ [0,1], T+I+F ≤ 3) algebra. The final scores are defuzzified via score function S = (T − F + 1)/2 before 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.
    Bošković et al. (2023). Neutrosophic Alternative Ranking Order Method Accounting for two-step Normalization. IEEE Access

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ScholarGate. (2026, June 2). N-AROMAN. ScholarGate. https://scholargate.app/decision-making/n-aroman