论文标题

通过广义Bajraktarević的决策意味着

Decision making via generalized Bajraktarević means

论文作者

Páles, Zsolt, Pasteczka, Paweł

论文摘要

我们定义了由研究加权Bajraktarević的多维概括而产生的决策功能。它允许一种非线性方法来进行优化问题。 这些功能承认了几种有趣的(从决策的角度来看)特性,例如,授权性(指出决策者的每个亚组都可以汇总他们的决策和努力),CASUTITIVE(每个决策都会影响最终结果,但两个琐事除外)和convexity-type type属性。 除了建立这种手段的最重要属性外,我们还解决了它们的平等问题,我们还引入了协同作用的概念,并表征了这种类型的无效决策功能。

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.

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