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Memorias de investigación
Communications at congresses:
Performance Analysis of Dominance Measuring Methods and Methods Based on the Exploration of the Weight Space
Year:2011
Research Areas
  • Engineering
Information
Abstract
We make a review of several approaches for ranking alternatives in multicriteria decision-making problems when there is imprecision concerning the alternative performances, component utility functions and weights. We assume decision maker?s preferences represented by an additive multi-attribute utility function, in which weights can be modeled by value intervals, an ordinal relations, independent normal variables or fuzzy numbers. The performances of the alternatives under consideration are represented by value intervals and classes of utility functions are available for each attribute. The reviewed approaches are based on preference intensity measures or the exploration of the weight space in order to describe the valuations that would make each alternative the preferred one. Three dominance measuring methods are considered, in which a dominance matrix is computed as the starting point, where each element is the minimum of the utility difference between two alternatives. From this matrix, the first approach provides a measure to rank the alternatives. However, the other two methods need to obtain a new matrix denoted as the preference intensity matrix, which provide a measure to rank the alternatives. The difference between both approaches is in how the elements of the preference intensity matrix are computed. On the other hand, two methods based on the exploration of the weight space in order to describe the valuations that would make each alternative the preferred one are considered. Both compute confidence factors describing the reliability of the analysis. The first is the stochastic multicriteria acceptability analysis (SMAA). SMAA computes acceptability indices, which measure the variety of different preferences that give each alternative the best rank. However, SMAA ignores information about the other ranks. This problem is solved with the second method, SMAA-2. The performance of the above method is analysed using Monte-Carlo simulation on the basis of two measures of efficacy: a) hit ratio, which computes the proportion of all cases in which the method selects the same best alternative; and b) rank-order correlation, which represents how similar the overall structures ranking alternatives are in the true ranking and in the ranking derived from the methods.
International
No
Congress
The 21st International Conference on Multiple Criteria Decision Making
960
Place
Jyväskylä - Finlandia
Reviewers
Si
ISBN/ISSN
Start Date
13/06/2011
End Date
17/06/2011
From page
52
To page
52
MCDM The 21st International Conference on Multiple Criteria Decision Making
Participants
  • Autor: Alfonso Mateos Caballero (UPM)
  • Autor: Antonio Jimenez Martin (UPM)
  • Autor: Ernesto Aaron Aguayo Garcia (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de análisis de decisiones y estadística
  • Departamento: Inteligencia Artificial
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