6533b7d6fe1ef96bd126643f

RESEARCH PRODUCT

SMAA-TRI

T. TervonenRisto LahdelmaJosé Rui FigueiraJ. Almeida DiasPekka Salminen

subject

Mathematical optimizationMonte Carlo methodMultiple criteriaStability (learning theory)SortingELECTRELambdaField (computer science)Analysis methodMathematics

description

ELECTRE TRI is a multiple criteria decision aiding sorting method with a history of successful real-life applications. In ELECTRE TRI, values for certain parameters, such as criteria weights, thresholds, category profiles, and lambda cutting level, have to be provided. We propose a new method, SMAA-TRI, that is based on Stochastic Multicriteria Acceptability Analysis (SMAA), for analyzing the stability of such parameters. The stability analysis can be used for deriving robust conclusions. SMAATRI allows ELECTRE TRI to be used with imprecise, arbitrarily distributed values for weights and the lambda cutting level. The method consists of analyzing through Monte Carlo simulation finite spaces of arbitrarily distributed parameter values in order to describe for each action, the share of parameter values that have it assigned to different categories. We provide algorithms for the method, and demonstrate the real-life applicability by re-analyzing a case study in the field of risk assessment.

yearjournalcountryeditionlanguage
2007-05-23
https://doi.org/10.1007/978-1-4020-5802-8_15