Publication: An axiomatic approach to finite means
Consultable a partir de
Date
2018
Authors
Candeal, Juan Carlos
Giarlotta, Alfio
Director
Publisher
Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
MINECO//ECO2015-65031-R/ES/
MINECO//MTM2015-63608-P/ES/
MINECO//TIN2015-66471-P/ES/
ES/1PE/TIN2016-77356-P
MINECO//MTM2015-63608-P/ES/
MINECO//TIN2015-66471-P/ES/
ES/1PE/TIN2016-77356-P
Abstract
In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring theoretical links to some branches of Mathematics as well as to multidisciplinary applications.
Keywords
Means, Axiomatics, Iterativity, Totally ordered sets, Lattices, Semigroups, Topological spaces, Binary operations, Functional equations, Social Choice, Ranking sets of objects, Fuzzy Set Theory
Department
Estatistika, Informatika eta Matematika / Institute for Advanced Research in Business and Economics - INARBE / Institute for Advanced Materials and Mathematics - INAMAT2 / Estadística, Informática y Matemáticas
Faculty/School
Degree
Doctorate program
Editor version
Funding entities
This work has been partially supported by the research projects S2013/ICE-2845, ECO2015-65031-R, MTM2015-63608-P (MINECO/ AEI-FEDER, UE), TIN2015-66471-P (MINECO/ AEI-FEDER, UE), TIN2016-77356-P (MINECO/ AEI-FEDER, UE).
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