Abstract
This paper considers fuzzy sets just as science tries to domesticate concepts once abstracted from reality: identifying them with quantities, using these quantities for building up mathematical models, escaping from just a formal logic setting, and testing the models against reality before provisionally accepting them. Its aim is that of trying to go towards a new experimental science of ‘the imprecise’; to something like a ‘physics of linguistic imprecision’. It contains a way for looking at fuzzy sets that, if continued, could offer a new perspective for seeing linguistic imprecision, and whose possible value lies on the idea that several forms of theorizing always can be better than a single one.
To professor Lotfi A. Zadeh, with a professional high admiration to his impressive work, and a deep personal esteem for him.
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Acknowledgments
This paper is partially funded by the Foundation for the Advancement of Soft Computing (Asturias, Spain), and by the Government of Spain Project MICIIN/TIN 2011-29827-C02-01.
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Trillas, E. (2015). Fuzzy Sets: Towards the Scientific Domestication of Imprecision. In: Tamir, D., Rishe, N., Kandel, A. (eds) Fifty Years of Fuzzy Logic and its Applications. Studies in Fuzziness and Soft Computing, vol 326. Springer, Cham. https://doi.org/10.1007/978-3-319-19683-1_29
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