Interactive Fuzzy Mathematics: a space with vector structure for calculation with uncertainties

• Autores: Laécio Carvalho de Barros, Estevão Esmi
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 28, Nº. 1, 2023, págs. 94-114
• Idioma: inglés
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• Resumen

  • One of the main virtues of mathematical structures that deal with uncertainties is their great modeling potential, in contrast to the deterministic theory. However, in such structures, there are difficulties to develop a theory of differential and integral calculus. Conversely, deterministic mathematics has a rich foundation for differential and integral calculus. This article is a survey that highlights a space formed by possibilistic variables, which includes both uncertainties (since the distributions of these variables can be interpreted as fuzzy numbers) and the Banach space structure, a very appropriate space for the development of differential and integral calculus, differential equations and mathematical analysis in general.