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(2008)Fuzzy Sets and Systems.159(16).p.2163-2175 Mark abstract We consider lower probabilities on finite possibility spaces as models for the uncertainty about the state. These generalizations of classical probabilities can have some interesting properties; for example: k-monotonicity, avoiding sure loss, coherence, permutation invariance. The sets formed by all the lower probabilities satisfying zero or more of these properties are convex. We show how the extreme points and rays of these sets ─ the extreme lower probabilities ─ can be calculated and we give an illustration of our results.

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-429244



Author: Erik Quaeghebeur and Gert De Cooman

Source: https://biblio.ugent.be/publication/429244



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