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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Generalized Sugeno Integrals
verfasst von : Didier Dubois, Henri Prade, Agnès Rico, Bruno Teheux
Erschienen in: Information Processing and Management of Uncertainty in Knowledge-Based Systems
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Abstract
Sugeno integrals are aggregation functions defined on a qualitative scale where only minimum, maximum and order-reversing maps are allowed. Recently, variants of Sugeno integrals based on Gödel implication and its contraposition were defined and axiomatized in the setting of bounded chain with an involutive negation. This paper proposes a more general approach. We consider totally ordered scales, multivalued conjunction operations not necessarily commutative, and implication operations induced from them by means of an involutive negation. In such a context, different Sugeno-like integrals are defined and axiomatized.