The notion of betweenness space or of a convex structure is an abstraction of the standard notion of convexity in a linear space. We first consider a ternary betweenness relation that gives rise to an interval space structure and then we propose a more general definition of betweenness. We study morphism between abstract convex spaces and we characterize aggregation function that are monotone with respect to a betweenness relation.

Betweenness Spaces: Morphism and Aggregation Functions

Cardin, Marta
2019

Abstract

The notion of betweenness space or of a convex structure is an abstraction of the standard notion of convexity in a linear space. We first consider a ternary betweenness relation that gives rise to an interval space structure and then we propose a more general definition of betweenness. We study morphism between abstract convex spaces and we characterize aggregation function that are monotone with respect to a betweenness relation.
Modeling Decisions for Artificial Intelligence: 16th International Conference, MDAI 2019, Milan, Italy, September 04-06, 2019,
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10278/3717690
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