On Selecting an Algorithm for Fuzzy Optimization

  • Authors:
  • Elizabeth Untiedt;Weldon Lodwick

  • Affiliations:
  • Department of Mathematical Sciences, University of Colorado at Denver,;Department of Mathematical Sciences, University of Colorado at Denver,

  • Venue:
  • IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
  • Year:
  • 2007

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Abstract

Formulations for fuzzy and possibilistic optimization abound in the literature, but few are implemented in practice. This paper investigates the theory, semantics, and efficacy of a selection of significant fuzzy and possibilistic optimization algorithms via their application to a well-known large-scale problem: the radiation therapy planning problem. The algorithms are compared, critiqued, and organized with the following objective in mind: to guide a decision maker in the selection and implementation of a fuzzy or possibilistic optimization algorithm.