Decision making via generalized Bajraktarevi\'c means
Optimization and Control
2020-07-10 v1
Abstract
We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarevi\'c 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.
Cite
@article{arxiv.2007.04870,
title = {Decision making via generalized Bajraktarevi\'c means},
author = {Zsolt Páles and Paweł Pasteczka},
journal= {arXiv preprint arXiv:2007.04870},
year = {2020}
}