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Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra.

Dubois, Didier and Rico, Agnès and Teheux, Bruno and Prade, Henri Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra. (2015) In: 16th International Fuzzy Systems Association World Congress and th Conference of the European Society for Fuzzy Logic and Technology (IFSA - EUSFLAT 2015), 30 June 2015 - 3 July 2015 (Gijon, Spain).

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Official URL: http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.122


Sugeno integral is one of the basic aggregation operations on a qualitative scale where only minimum and maximum, as well as order-reversing maps are allowed. Recently some variants of this aggregation operation, named soft and drastic integrals, have been introduced in a previous work by three of the authors. In these operations, importance weights play the role of tolerance thresholds enabling full satisfaction if ratings pass them. These new aggregation operations use residuated implications, hence need a slightly richer structure, and are part of larger family of qualitative aggregations. Based on some properties laid bare in a previous work, this paper proposes characterisation theorems for four variants of Sugeno integrals. These results pave the way to decision-theoretic axiomatizations of these natural qualitative aggregations.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Proceedings of the International joint confernece IFSA - EUSFLAT ISBN: 978-94-62520-77-6 ISSN: 1951-6851 Licence Creative Commons. The definitive version is available at : http://www.atlantis-press.com/php/pub.php?publication=ifsa-eusflat-15&frame=http%3A//www.atlantis-press.com/php/paper-details.php%3Fid%3D23633
HAL Id:hal-03662609
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 > University of Luxembourg (LUXEMBOURG)
Other partners > Université Lumière-Lyon 2 (FRANCE)
Laboratory name:
Deposited On:04 Mar 2016 15:40

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