Qualitative integrals and desintegrals: towards a logical view

Didier Dubois (1, 2) , Henri Prade (1) , Agnés Rico (3)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 QUB - Queen's University [Belfast]
3 ERIC - Equipe de Recherche en Ingénierie des Connaissances

This paper presents several variants of Sugeno integral, and in particular the idea of (qualitative) desintegrals, a dual of integrals. When evaluating an item, desintegrals are maximal if no defects at all are present, while integrals are maximal if all advantages are sufficiently present. This idea leads to a bipolar representation of preferences, by means of a pair made of an integral and a desintegral, whose possibilistic logic counterparts are outlined (in the case where criteria are binary).

Mots clés: rais-preferences; Sugeno integral; possibilistic logic; bipolar representation

Domaines: Intelligence artificielle [cs.AI]

Didier Dubois, Henri Prade, Agnés Rico. Qualitative integrals and desintegrals: towards a logical view. 9th International Conference Modeling Decisions for Artificial Intelligence (MDAI 2012), Nov 2012, Gérone, Spain. pp.127--138, ⟨10.1007/978-3-642-34620-0_13⟩. ⟨hal-03344985⟩