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Decision making via generalized Bajraktarević means

Author

Listed:
  • Zsolt Páles

    (University of Debrecen)

  • Paweł Pasteczka

    (Pedagogical University of Kraków)

Abstract

We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarević means. It allows a nonlinear approach to optimization problems. These functions admit several interesting (from the point of view of decision-making) properties, for example, delegativity (which states that each subgroup of decision-makers can aggregate their decisions and efforts), casuativity (each decision affects the final outcome except two trivial cases) and convexity-type properties. Beyond establishing the most important properties of such means, we solve their equality problem, we introduce a notion of synergy and characterize the null-synergy decision-making functions of this type.

Suggested Citation

  • Zsolt Páles & Paweł Pasteczka, 2024. "Decision making via generalized Bajraktarević means," Annals of Operations Research, Springer, vol. 332(1), pages 461-480, January.
    • Handle: RePEc:spr:annopr:v:332:y:2024:i:1:d:10.1007_s10479-023-05582-1
    DOI: 10.1007/s10479-023-05582-1
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    References listed on IDEAS

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