Conditional measures: an alternative to Cox functional equation

Didier Dubois (1) , Janos Fodor (2) , Henri Prade (1)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 Óbuda University [Budapest]

In 1946, R.T. Cox [3] tried to justify the notion of probability as a measure of belief from first principles. Relying on the Boolean algebra structure of events, he proposed three basic postulates on a degree of belief g (A|B)∈[0,1], where A,B are events A,B in an Boolean algebra S.

Domaines: Intelligence artificielle [cs.AI]

Didier Dubois, Janos Fodor, Henri Prade. Conditional measures: an alternative to Cox functional equation. 31st Linz Seminar on Fuzzy Set Theory: “Lattice-Valued Logic and its Applications” (LINZ 2010), Universitätsdirektion, Johannes Kepler Universität, Linz, Feb 2010, Linz, Austria. ⟨hal-03351568⟩