An Evaluation Method with Imprecise Information for Multi-attribute Decision Support

  • Francesc Prats
  • Mónica Sánchez
  • Núria Agell
  • Gaizka Ormazabal
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4177)


This paper presents a method using intervals for representing and synthesizing imprecise information for multi-attribute evaluation and decision-making support. An implementation is given for selecting an alternative for a project in a real case in the context of construction in civil engineering. As a previous step to aggregate the available information, a methodology is proposed for summarizing and normalizing values in an intervals context, representing the alternatives by means of rectangles in \(\mathbb R^n\) (products of n finite closed intervals in \(\mathbb R\)). A distance is introduced in the set of rectangles, defining a total order once a reference rectangle is considered. A method is given for the choice of the best alternative based on the comparison of distances to a reference rectangle. The constraints which guarantee consistency are determined and the consistency of the method is established.


Multiobjective Optimization Goal Programming Total Order Imprecise Information Reference Point Method 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Francesc Prats
    • 1
  • Mónica Sánchez
    • 1
  • Núria Agell
    • 2
  • Gaizka Ormazabal
    • 3
  1. 1.Dept MA2Universitat Politècnica de CatalunyaBarcelona
  2. 2.ESADE Universitat Ramon LlullBarcelona
  3. 3.IESE Universidad de NavarraBarcelona

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