Next Article in Journal
A Type of the Shadowing Properties for Generic View Points
Next Article in Special Issue
Graphs in an Intuitionistic Fuzzy Soft Environment
Previous Article in Journal / Special Issue
Revision of the Kosiński’s Theory of Ordered Fuzzy Numbers
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(1), 17;

An Abstract Result on Projective Aggregation Functions

Departamento de Análisis Económico, Universidad de Zaragoza, Gran Vía 2, 50005 Zaragoza, Spain
Received: 1 March 2018 / Revised: 13 March 2018 / Accepted: 19 March 2018 / Published: 20 March 2018
(This article belongs to the Special Issue New Trends in Fuzzy Set Theory and Related Items)
Full-Text   |   PDF [236 KB, uploaded 20 March 2018]


A general characterization result of projective aggregation functions is shown, the proof of which makes use of the celebrated Arrow’s theorem, thus providing a link between aggregation functions theory and social choice theory. The result can be viewed as a generalization of a theorem obtained by Kim (1990) for real-valued aggregation functions defined on the n-dimensional Euclidean space in the context of measurement theory. In addition, two applications of the core theorem of the article are shown. The first is a simple extension of the main result to the context of multi-valued aggregation functions. The second offers a new characterization of projective bijection aggregators, thus connecting aggregation operators theory with social choice. View Full-Text
Keywords: aggregation functions; aggregation operators; Arrow’s theorem aggregation functions; aggregation operators; Arrow’s theorem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Candeal, J.C. An Abstract Result on Projective Aggregation Functions. Axioms 2018, 7, 17.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top