Tropical implementation of the Analytical Hierarchy Process decision method

@article{Krivulin2019TropicalIO,
  title={Tropical implementation of the Analytical Hierarchy Process decision method},
  author={Nikolai Krivulin and Sergei Sergeev},
  journal={Fuzzy Sets Syst.},
  year={2019},
  volume={377},
  pages={31-51}
}
  • Nikolai Krivulin, Sergei Sergeev
  • Published 2019
  • Mathematics, Computer Science
  • Fuzzy Sets Syst.
  • Abstract We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise comparison data. In this framework, we first consider the minimax Chebyshev approximation of pairwise comparison matrices by consistent matrices in the logarithmic scale. Recasting this approximation problem as a problem of tropical pseudo-quadratic… CONTINUE READING

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