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Home›Decision-making›UTilités Additives DIScriminantes (Additive Utility Sorting)
MCDMSortingcrisp

UTilités Additives DIScriminantes (Additive Utility Sorting)

UTADIS (UTilités Additives DIScriminantes (Additive Utility Sorting)) is a sorting multi-criteria decision-making (MCDM) method introduced by Devaud, J. M., Groussaud, G., Jacquet-Lagrèze, E. in 1980. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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When to use it

UTADIS sorts alternatives into Q ordered classes (best-to-worst) by learning piecewise-linear marginal utilities u_i and Q−1 class thresholds u_k from a labelled reference set with known class assignments. The LP (Eqs.(21)-(27)) minimises the total classification error F = Σ_{a∈C_1} σ⁺(a) + … + Σ_{a∈C_Q} σ⁻(a). σ⁺(a) is the LOWER-BOUND violation slack (alternative's U(a) is below the lower threshold of its class); σ⁻(a) is the UPPER-BOUND violation slack (alternative's U(a) is above the upper threshold of its class). Reference set must be labelled (DM's prior classification given). Output: U(a

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.

Sources

  1. Devaud, J. M., Groussaud, G., Jacquet-Lagrèze, E. (1980). UTADIS: Une méthode de construction de fonctions d'utilité additives rendant compte de jugements globaux. European Working Group on MCDA, Bochum link ↗

How to cite this page

ScholarGate. (2026, June 2). UTilités Additives DIScriminantes (Additive Utility Sorting). ScholarGate. https://scholargate.app/en/decision-making/utadis

Similar methods

UTASTOCHASTIC-UTAUTASTARMAUTTOPSIS-SORTEVAMIXIVIF-CODAS-SORTCODAS

Related reference concepts

Decision Support SystemsLinear Discriminant AnalysisLogistic DiscriminationClassification and Discriminant AnalysisQuadratic Discriminant AnalysisDecision Making

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — UTADIS (UTilités Additives DIScriminantes (Additive Utility Sorting)). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/utadis · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Devaud, J. M., Groussaud, G., Jacquet-Lagrèze, E.
Subfamily
Sorting
Year
1980
Type
Additive-utility preference-disaggregation sorting via LP-learned class thresholds
Value Space
crisp
Uncertainty
None
Compensation
full
Rank Reversal
No
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