Eurofuse 2011 pp 243-255 | Cite as

Construction of Interval-Valued Fuzzy Preference Relations Using Ignorance Functions: Interval-Valued Non Dominance Criterion

  • Edurne Barrenechea
  • Alberto Fernández
  • Francisco Herrera
  • Humberto Bustince
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 107)


In this work we present a construction method for interval-valued fuzzy preference relations from a fuzzy preference relation and the representation of the lack of knowledge or ignorance that experts suffer when they define the membership values of the elements of that fuzzy preference relation.We also prove that, with this construction method, we obtain membership intervals for an element which length is equal to the ignorance associated with that element. We then propose a generalization of Orlovsky’s non dominance method to solve decision making problems using interval-valued fuzzy preference relations.


Fuzzy Preference Relation Dominance Criterion Strict Preference Relation Reciprocity Property Fuzzy Binary Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Edurne Barrenechea
    • 1
  • Alberto Fernández
    • 2
  • Francisco Herrera
    • 3
  • Humberto Bustince
    • 1
  1. 1.Dept. Automática y ComputaciónUniversidad Pública de NavarraSpain
  2. 2.Dept. of Computer ScienceUniversity of JaénSpain
  3. 3.Dept. of Computer Science and Artificial IntelligenceUniversidad de GranadaSpain

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