Pseudo-additive Measures and the Independence of Events
Didier Dubois, Endre Pap, Henri M. Prade · Studies in fuzziness and soft computing · 2002
This paper is devoted to the investigation of independence (separability) of events with respect to a pseudo-additive measure that combine probabilistic and possibilistic behaviours via a threshold. It is based on a restricted family of t-conorm/ t-norm pairs which are very special ordinal sums. Any practically useful theory of pseudo-additive measures must use such special pairs of operations in order to conjointly extend the additivity property, and the notion of probabilistic independence.