An axiomatic approach to finite means

María J. Campión; Juan C. Candeal; Raquel G. Catalán; Alfio Giarlotta; Salvatore Greco; Esteban Induráin; Javier Montero

doi:10.1016/j.ins.2018.04.091

An axiomatic approach to finite means

María J. Campión, Juan C. Candeal, Raquel G. Catalán, Alfio Giarlotta, Salvatore Greco, Esteban Induráin, Javier Montero

Centre for Operational Research & Logistics

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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.

Original language	English
Pages (from-to)	12-28
Number of pages	17
Journal	Information Sciences
Volume	457-458
Early online date	9 May 2018
DOIs	https://doi.org/10.1016/j.ins.2018.04.091
Publication status	Published - 1 Aug 2018

Keywords

means
axiomatics
iterativity
totally ordered sets
lattices
semigroups
topological spaces
binary operations
functional equations
social choice
ranking sets of objects
fuzzy set theory

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10.1016/j.ins.2018.04.091

GRECO_2018_cright_IS_An axiomatic approach to finite meansAccepted author manuscript (Post-print), 361 KBLicence: CC BY-NC-ND

http://linkinghub.elsevier.com/retrieve/pii/S0020025518303463

Cite this

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AU - Giarlotta, Alfio

AU - Greco, Salvatore

AU - Induráin, Esteban

AU - Montero, Javier

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KW - means

KW - axiomatics

KW - iterativity

KW - totally ordered sets

KW - lattices

KW - semigroups

KW - topological spaces

KW - binary operations

KW - functional equations

KW - social choice

KW - ranking sets of objects

KW - fuzzy set theory

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An axiomatic approach to finite means

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Keywords

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