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The Cube of Opposition and the Complete Appraisal of Situations by Means of Sugeno Integrals

Dubois, Didier and Prade, Henri and Rico, Agnès The Cube of Opposition and the Complete Appraisal of Situations by Means of Sugeno Integrals. (2015) In: 22nd International Symposium on Methodologies for Intelligent Systems (ISMIS 2015), 21 October 2015 - 23 October 2015 (Lyon, France).

(Document in English)

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Official URL: http://dx.doi.org/10.1007/978-3-319-25252-0_21


The cube of opposition is a logical structure that underlies many information representation settings. When applied to multiple criteria decision, it displays various possible aggregation attitudes. Situations are usually assessed by combinations of properties they satisfy, but also by combinations of properties they do not satisfy. The cube of opposition applies to qualitative evaluation when criteria are weighted as well as in the general case where any subset of criteria may be weighted for expressing synergies between them, as for Sugeno integrals. Sugeno integrals are well-known as a powerful qualitative aggregation tool which takes into account positive synergies between properties. When there are negative synergies between properties we can use the so-called desintegral associated to the Sugeno integral. The paper investigates the use of the cube of opposition and of the if-then rules extracted from these integrals and desintegrals in order to better describe acceptable situations.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 9384 Lecture Notes in Computer Science ISSN : 0302-9743. ISBN: 978-3-319-25251-3. The original PDF is available at : http://link.springer.com/chapter/10.1007%2F978-3-319-25252-0_21
HAL Id:hal-01291624
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 - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (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 > Université Lumière-Lyon 2 (FRANCE)
Laboratory name:
Deposited On:08 Mar 2016 14:35

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