On the decomposition of value functions11Research supported in part by NSERC.

  • Authors:
  • Jonathan Barzilai

  • Affiliations:
  • Department of Industrial Engineering, Dalhousie University, Halifax, Nova Scotia, Canada B3J 2X4

  • Venue:
  • Operations Research Letters
  • Year:
  • 1998

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Abstract

This paper provides a mathematical framework for the decomposition of value functions into linear and non-linear tree and general structures. The power of this framework is demonstrated through its application to the analytic hierarchy process. In particular, we show that the AHP generates non-equivalent value functions and rankings from equivalent decompositions