MCDMDecision-makingRankingMath steps

Linguistic extension of L2T-SAW

L2T-SAW (Linguistic extension of L2T-SAW) is a ranking multi-criteria decision-making (MCDM) method introduced by Cid-López, A., Hornos, M. J., Carrasco, R. A., Herrera-Viedma, E. 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

l2t-saw extends L2T-SAW to handle Linguistic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using 2-Tuple Linguistic Variable (2TL: (s_i, α)) algebra. The final scores are defuzzified via Δ^{-1}(s_i, α) = i + α 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.
    Cid-López, A., Hornos, M. J., Carrasco, R. A., Herrera-Viedma, E. (2018). Prioritization of the launch of ICT products and services through linguistic multi-criteria decision-making (2-tuple SAW). Technological and Economic Development of Economy

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Cite this page

ScholarGate. (2026, June 2). L2T-SAW. ScholarGate. https://scholargate.app/decision-making/l2t-saw