Pseudo-additive Measures and the Independence of Events

Dubois, Didier; Pap, Endre; Prade, Henri

doi:10.1007/978-3-7908-1797-3_14

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2005

2024

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Cited by 4 publications

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“…Beyond possibilistic and probabilistic mixtures, only a form of hybridization is possible such that the mixture is possibilistic under a certain threshold, and probabilistic above. The same distributivity property must be satisfied between the t-conorm characterizing the pseudo-additive measure, and the triangular norm expressing separability (independence), see [7,8].…”

Section: Introductionmentioning

confidence: 99%

A generalization of the utility theory using a hybrid idempotent-probabilistic measure

Pap¹

2005

Contemporary Mathematics

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There is given an overview on the results related to the generalization of the decision theory to non probabilistic uncertainty based on the characterization of the families of operations involved in generalized mixtures. It turns out that this is based on a previous result on the characterization of the pair of continuous t-norm T and t-conorm S such that the former is conditionally distributive over the latter. What is obtained is a family of mixtures that combine probabilistic and idempotent (possibilistic) mixtures via a threshold and the corresponding pseudo-additive hybrid idempotent-probabilistic measure satisfies also all other required conditions.

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Section: Introductionmentioning

confidence: 99%