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Conference papers

An efficient midpoint-radius implementation to handle symmetric fuzzy intervals

Manuel Marin 1, 2 David Defour 1 Federico Milano 2
1 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
Abstract : Fuzzy arithmetic is useful to handle uncertainty in data. They usually rely on costly interval arithmetic based on lower-upper representation. In some cases, fuzzy numbers are symmetrical. We will show how we can exploit this property to halve the amount of operations and memory needed and increase accuracy as well, thanks to the midpoint-increment representation format. We will describe how we implemented this format into a fuzzy arithmetic library, specifically tuned to run on Graphic Processing Units (GPU). The results of a series of tests using compute-bound and memory-bound benchmarks show that the proposed format provides a performance gain of two to twenty over the lower-upper format.
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Contributor : Manuel Marin <>
Submitted on : Friday, April 10, 2015 - 9:01:27 PM
Last modification on : Thursday, May 24, 2018 - 3:59:23 PM


  • HAL Id : hal-01140504, version 1



Manuel Marin, David Defour, Federico Milano. An efficient midpoint-radius implementation to handle symmetric fuzzy intervals. RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, Apr 2015, Rennes, France. ⟨hal-01140504⟩



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