An Abstract Result on Projective Aggregation Functions
AbstractA 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
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Candeal, J.C. An Abstract Result on Projective Aggregation Functions. Axioms 2018, 7, 17.
Candeal JC. An Abstract Result on Projective Aggregation Functions. Axioms. 2018; 7(1):17.Chicago/Turabian Style
Candeal, Juan C. 2018. "An Abstract Result on Projective Aggregation Functions." Axioms 7, no. 1: 17.
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