The Relationship between Interval, Fuzzy and Possibilistic Optimization

  • Weldon A. Lodwick
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5861)


The relationship between fuzzy set theory (in particular fuzzy arithmetic) and interval analysis is well-know. This study explores the interconnections between interval analysis, fuzzy interval analysis, and interval and fuzzy/possibilistic optimization. Two key ideas are considered herein: (1) constraint set computation and (2) the clear distinctions and relationships between interval, fuzzy, and possibilistic entities as they are used in optimization within an historical and taxonomic context. Constraint fuzzy interval arithmetic is used to compute constraint sets.


Fuzzy optimization possibilistic optimization interval analysis constraint fuzzy interval arithmetic 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Weldon A. Lodwick
    • 1
  1. 1.Department of Mathematical and Statistical SciencesUniversity of Colorado DenverDenverU.S.A.

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