• DocumentCode
    3530752
  • Title

    A direct solution for obtaining a priority vector from interval pairwise comparison matrix

  • Author

    Kuo-ping Chiao

  • Author_Institution
    Dept. of Ind. Manage. & Enterprise Inf., Aletheia Univ., Taipei, Taiwan
  • fYear
    2010
  • fDate
    12-14 July 2010
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    A direct solution based on graphical method for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.
  • Keywords
    decision theory; linear programming; matrix algebra; vectors; analytic hierarchy process; global optimal interval priority vector; graphical method; interval pairwise comparison matrix; linear programming; mathematical programming model; Decision making; History; Linear programming; Mathematical model; Mathematical programming; Phase change materials; Probability; Robustness; Uncertainty; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
  • Conference_Location
    Toronto, ON
  • Print_ISBN
    978-1-4244-7859-0
  • Electronic_ISBN
    978-1-4244-7857-6
  • Type

    conf

  • DOI
    10.1109/NAFIPS.2010.5548206
  • Filename
    5548206