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.
Cardin, Marta (Corresponding)
|Data di pubblicazione:||2019|
|Titolo:||Betweenness Spaces: Morphism and Aggregation Functions|
|Titolo del libro:||Modeling Decisions for Artificial Intelligence: 16th International Conference, MDAI 2019, Milan, Italy, September 04-06, 2019,|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/978-3-030-26773-5_8|
|Appare nelle tipologie:||3.1 Articolo su libro|