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Qualitative integrals and desintegrals as lower and upper possibilistic expectations

Dubois, Didier and Prade, Henri and Rico, Agnès Qualitative integrals and desintegrals as lower and upper possibilistic expectations. (2013) In: 8th European Society For Fuzzy Logic And Technology Conference (EUSFLAT 2013), 11 September 2013 - 13 September 2013 (Milan, Italy).

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Official URL: http://dx.doi.org/10.2991/eusflat.2013.51

Abstract

Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sugeno integrals) are lower and /or upper possibilistic expectations wrt a possibility measure, while qualitative desintegrals are upper or lower possibilistic expectations wrt a guaranteed possibility measure. The results are presented in a qualitative finite setting, the one of multiple criteria aggregation.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Altantis Press. ISBN : 978-90786-77-78-9 The definitive version is available at : http://www.atlantis-press.com/php/pub.php?publication=eusflat-13&frame=http%3A//www.atlantis-press.com/php/paper-details.php%3Fid%3D8413
HAL Id:hal-01212931
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 > Université Lumière-Lyon 2 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:15 Sep 2015 12:15

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