Generalized Sugeno Integrals

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.
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  • HAL Id : hal-01445233, version 1
  • OATAO : 17237

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Didier Dubois, Henri Prade, Agnés Rico, Bruno Teheux. Generalized Sugeno Integrals. 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016), Jun 2016, Eindhoven, Netherlands. pp. 363-374. ⟨hal-01445233⟩

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