[HTML][HTML] Transfer-stable aggregation functions: Applications, challenges, and emerging trends
Z Kurač - Decision Analytics Journal, 2023 - Elsevier
The original transfer-stable aggregation functions generalized the arithmetic means to finite
chains. The idea of applying these functions was later demonstrated by purchasing several …
chains. The idea of applying these functions was later demonstrated by purchasing several …
Quasi-arithmetic means ad libitum
P Leonetti - Results in Mathematics, 2023 - Springer
Abstract Let α 1,…, α m be two or more positive reals with sum 1, let C⊆ R k be an open
convex set, and f: C→ R k be a continuous injection with convex image. For each nonempty …
convex set, and f: C→ R k be a continuous injection with convex image. For each nonempty …
On the Jensen convex and Jensen concave envelopes of means
Z Páles, P Pasteczka - Archiv der Mathematik, 2021 - Springer
In recent papers, the convexity of quasiarithmetic means was characterized under twice
differentiability assumptions. One of the main goals of this paper is to show that the convexity …
differentiability assumptions. One of the main goals of this paper is to show that the convexity …
Characterization of quasi-arithmetic means without regularity condition
We show that bisymmetry, which is an algebraic property, has a regularity improving feature.
More precisely, we prove that every bisymmetric, partially strictly monotonic, reflexive and …
More precisely, we prove that every bisymmetric, partially strictly monotonic, reflexive and …
A dichotomy result for strictly increasing bisymmetric maps
In this paper we show some remarkable consequences of the method which proves that
every bisymmetric, symmetric, reflexive, strictly monotonic binary map on a proper interval is …
every bisymmetric, symmetric, reflexive, strictly monotonic binary map on a proper interval is …