How Arithmically Fuzzy Are We? An Empirical Comparison of Human Imprecise Calculation and Fuzzy Arithmetic

Sébastien Lefort 1 Marie-Jeanne Lesot 1 Elisabetta Zibetti 2 Charles Tijus 2 Marcin Detyniecki 1
1 LFI - Learning, Fuzzy and Intelligent systems
LIP6 - Laboratoire d'Informatique de Paris 6
2 CHART - Cognitions Humaine et ARTificielle
Abstract : Imprecisions related to numerical expressions are pervasive in human communication. The way they are propagated in calculations is still an issue. Fuzzy logic is an attempt to account for human imprecise reasoning. In this paper, a comparison between human imprecise calculation and fuzzy arithmetic is experimentally performed. An empirical study has been conducted to collect real intervals resulting from imprecise products and additions from participants. Fuzzy intervals are elicited from these data and fuzzy arithmetic is applied to the collected imprecise operands. Comparisons of the fuzzy intervals show that the fuzzy product and addition do not fit well they way human beings perform these operations on imprecise operands. Moreover, they show that the participants, rather than taking into account the imprecisions in the calculation, realise exact calculation and then approximate the exact result.
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Communication dans un congrès
FUZZ-IEEE - IEEE International Conference on Fuzzy Systems, Jul 2017, Naples, Italy
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Contributeur : Sébastien Lefort <>
Soumis le : lundi 20 mars 2017 - 12:01:07
Dernière modification le : vendredi 24 mars 2017 - 01:08:29

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Sébastien Lefort, Marie-Jeanne Lesot, Elisabetta Zibetti, Charles Tijus, Marcin Detyniecki. How Arithmically Fuzzy Are We? An Empirical Comparison of Human Imprecise Calculation and Fuzzy Arithmetic. FUZZ-IEEE - IEEE International Conference on Fuzzy Systems, Jul 2017, Naples, Italy. <hal-01492625>

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