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A perspective on the extension of stochastic orderings to fuzzy random variables

Couso, Inès and Dubois, Didier A perspective on the extension of stochastic orderings to fuzzy random variables. (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-15.2015.211

Abstract

In this paper we study how to make joint extensions of stochastic orderings and interval orderings so as to extend methods for comparing random variables, from the point of view of their respective location or magnitude, to fuzzy random variables. The main idea is that the way fuzzy random variables are interpreted affects the choice of the comparison methods. We distinguish three views of fuzzy random variables, according to which various comparison methods seem to make sense. This paper offers an approach toward a systematic classification of combinations of stochastic and interval or fuzzy interval comparison methods.

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%3D23722
HAL Id:hal-01290482
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 > Universidad de Oviedo (SPAIN)
Laboratory name:
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Deposited By: IRIT IRIT
Deposited On:04 Mar 2016 13:36

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