MCDMDecision-makingRankingMath steps

Interval extension of TODIM

OriginatorMishra, A. R., Rani, P., Pardasani, K. R., Mardani, A., Stević, Ž., Pamučar, D.Year2020Sources1Related methods8

IV-TODIM (Interval extension of TODIM) is a ranking multi-criteria decision-making (MCDM) method introduced by Mishra, A. R., Rani, P., Pardasani, K. R., Mardani, A., Stević, Ž., Pamučar, D. 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

iv-todim extends TODIM to handle Interval uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Interval Number (IN: [a, b]) algebra. The final scores are defuzzified via midpoint (a+b)/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.
    Mishra, A. R., Rani, P., Pardasani, K. R., Mardani, A., Stević, Ž., Pamučar, D. (2020). A novel entropy and divergence measures with multi-criteria service quality assessment using interval-valued intuitionistic fuzzy TODIM method. Soft Computing

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Cite this page

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