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Generalized Sugeno Integrals

Dubois, Didier and Prade, Henri and Rico, Agnès and Teheux, Bruno Generalized Sugeno Integrals. (2016) In: 16th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016), 20 June 2016 - 24 June 2016 (Eindhoven, Netherlands).

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Official URL: http://dx.doi.org/10.1007/978-3-319-40596-4_31

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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 610 of Communications in Computer and Information Science ISSN: 1865-0929 The original PDF is available at: http://link.springer.com/chapter/10.1007/978-3-319-40596-4_31
HAL Id:hal-01445233
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > University of Luxembourg (LUXEMBOURG)
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Deposited By: IRIT IRIT
Deposited On:11 Jan 2017 16:13

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