Decision making via generalized Bajraktarević means

Zsolt Páles () and Paweł Pasteczka ()
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Zsolt Páles: University of Debrecen
Paweł Pasteczka: Pedagogical University of Kraków

Annals of Operations Research, 2024, vol. 332, issue 1, No 18, 480 pages

Abstract: 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.

Keywords: Decision making function; Aggregation function; Effort function; Synergy; Generalized Bajraktarević mean; Equality problem; Primary: 90B50; Secondary: 26D15; 26E60; 39B62 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05582-1

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