MCDMDecision-makingRankingMath steps

2-Tuple Linguistic MULTIMOORA (Balezentis & Balezentis 2011)

OriginatorBaležentis, Alvydas, Baležentis, TomasYear2006 crisp; 2011 variant applicatorSources1Related methods1

L2T-MULTIMOORA (2-Tuple Linguistic MULTIMOORA (Balezentis & Balezentis 2011)) is a ranking multi-criteria decision-making (MCDM) method introduced by Baležentis, Alvydas, Baležentis, Tomas in 2006 crisp; 2011 variant applicator. 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-MULTIMOORA extends crisp MULTIMOORA (Brauers-Zavadskas 2010) to 2-tuple linguistic environments using the Herrera-Martínez 2000 (s, α) representation. The method computes three independent sub-rankings — Ratio System (arithmetic mean), Reference Point (Chebyshev max-deviation from per-criterion maxima), and Full Multiplicative Form (geometric mean) — all in 2-tuple algebra via Δ⁻¹/Δ symbolic translation. The Brauers-Zavadskas 2011 dominance theory then aggregates the three sub-rankings into a final ordinal rank. Absolute dominance (rank 1 in all three sub-rankings) signals a robust winner.

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
  • May exhibit rank reversal when alternatives are added to or removed from the set.

Common pitfalls

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Sources

  1. 1.
    Baležentis, Alvydas, Baležentis, Tomas (2011). An innovative multi-criteria supplier selection based on two-tuple MULTIMOORA and hybrid data. Economic Computation and Economic Cybernetics Studies and Research

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

2-Tuple Linguistic MULTIMOORA (Balezentis & Balezentis 2011)