MCDMDecision-makingRankingMath steps

Neutrosophic extension of TODIM

OriginatorJi, P., Zhang, H. Y., Wang, J. Q.Year2018Sources1Related methods8

N-TODIM (Neutrosophic extension of TODIM) is a ranking multi-criteria decision-making (MCDM) method introduced by Ji, P., Zhang, H. Y., Wang, J. Q. in 2018. 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-todim extends TODIM 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.
    Ji, P., Zhang, H. Y., Wang, J. Q. (2018). A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection. Neural Computing and Applications

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