International Journal of Approximate Reasoning, 172: 109241, Sept 2024.
Invited paper for the ISIPTA 2023 special issue.We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.