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.

An axiomatic approach to finite means

Giarlotta, Alfio;Greco, Salvatore;
2018-01-01

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.
2018
Axiomatics; Binary operations; Functional equations; Fuzzy Set Theory; Iterativity; Lattices; Means; Ranking sets of objects; Semigroups; Social Choice; Topological spaces; Totally ordered sets; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and Management; Artificial Intelligence
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/329121
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