Monotone Functions on Finite Lattices: An Ordinal Approach to Capacities, Belief and Necessity Functions

Author:

Barthélemy Jean-Pierre

Publisher

Physica-Verlag HD

Reference30 articles.

1. Allais (1953), Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’école américaine, Econometrica 21, 503–546.

2. M. Barbut and B. Monjardet (1971), Ordre et classification, algèbre et combinatoire, Paris: Hachette.

3. G. Birkhoff (1967), Lattice Theory,Providence: Math. Amer. Society (2nd edition).

4. A. Chateauneuf (1994), Combination of compatible belief functions and relation of specificity, in: Advances in the Dempster-Shafer Theory of Evidence, Wiley, 97–114.

5. A. Chateauneuf and J.-Y.Jaffray (1989), Some characterisations of the lower probabilities and other monotone capacities through the use of Möbius inversion, Mathematical Social Sciences 17, 263–283.

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