Describing acceptable objects by means of sugeno integrals

Henri Prade (1) , Agnés Rico (2)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 ERIC - Equipe de Recherche en Ingénierie des Connaissances

Objects are usually described by combinations of properties. Logic-based descriptions offer compact representations for binary properties. Besides, Sugeno integrals are wellknown as a powerful qualitative aggregation tool in multiplecriteria decision, which is applicable to gradual properties, and takes into account positive synergies between properties. The paper proposes to investigate the potential use of Sugeno integrals as a representation tool, to lay bare their relation with possibilistic logic representations, and to discuss the handling of negative synergies in this setting using a pair of Sugeno integrals.

Keywords: Pattern structures; Formal concept analysis; Possibilistic logic; Sugeno integral; dec-models; Polynomials; Complexity theory

Domains: Artificial Intelligence [cs.AI]

Henri Prade, Agnés Rico. Describing acceptable objects by means of sugeno integrals. International Conference of Soft Computing and Pattern Recognition (SoCPaR 2010), Dec 2010, Cergy Pontoise, France. pp.6--11, ⟨10.1109/SOCPAR.2010.5685870⟩. ⟨hal-03349436⟩