MCDMDecision-makingRankingMath steps

Rough-TODIM — Rough extension of TODIM

OriginatorTiwari, V. Khanna, P. Tandon, P.Year2024Sources1Related methods8

ROUGH-TODIM (Rough-TODIM — Rough extension of TODIM) is a ranking multi-criteria decision-making (MCDM) method introduced by Tiwari, V. Khanna, P. Tandon, P. in 2024. 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

rough-todim extends TODIM to handle Rough uncertainty. Decision matrix entries are rough numbers [L,U] representing customer preference scores. Normalization uses global-max (all bounds divided by max upper bound across matrix). The TODIM φ_c function computes crisp scalar distances d_c = |p^L_ic - p^L_jc| + |p^U_ic - p^U_jc| and applies importance-based scaling: full scale (α=β=1) for Important/Most-Important criteria, ×0.5 for Averagely Important, Rule 3 for Low Important. All dominance computations (δ, Σδ) are crisp. The final ξ scores are crisp [0,1] values computed directly from crisp dom

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.
    Tiwari, V., Khanna, P., Tandon, P. (2024). Capturing Design Intent During Concept Evaluation Using Rough Numbers and TODIM Method. Computer-Aided Design & Applications

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Cite this page

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

Rough-TODIM — Rough-TODIM — Rough extension of TODIM