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Algebraic Based Techniques as Decision Making Tools

In: Nonlinear Analysis and Global Optimization

Author

Listed:
  • M. Couceiro

    (University of Lorraine, CNRS, Inria, LORIA)

  • G. Meletiou

    (University of Ioannina
    University of Patras)

  • K. Skouri

    (University of Ioannina)

Abstract

This study explores the use of some well-established algebraic structures as tools in multicriteria decision making. Under a rigorous axiomatic foundation, a complex decision problem is decomposed into a multilevel hierarchic structure of objective, criteria, and alternatives. A priority is derived for each element of the hierarchy, allowing comparisons based on linear rankings, weak orders, and other order structures. Consensus rules are provided for the final ranking of the alternatives.

Suggested Citation

  • M. Couceiro & G. Meletiou & K. Skouri, 2021. "Algebraic Based Techniques as Decision Making Tools," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Nonlinear Analysis and Global Optimization, pages 183-191, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-61732-5_7
    DOI: 10.1007/978-3-030-61732-5_7
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