Pseudo-additive measures and the independence of events

Authors:
Didier Dubois;Endre Pap;Henri Prade
Affiliations:
I.R.I.T., Université Paul Sabatier, 118 route Narbonne, 31062 Toulouse Cedex 4, France;Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia;I.R.I.T., Université Paul Sabatier, 118 route Narbonne, 31062 Toulouse Cedex 4, France
Venue:
Technologies for constructing intelligent systems
Year:
2002

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Abstract

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.