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.
Autori: | 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 |
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