A study of the heat transfer in materials with interval and fuzzy values via extension principle

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Author(s):	Delgato, Yngrid Zacharias ; Wasques, Vinicius Francisco Total Authors: 2
Document type:	Journal article
Source:	COMPUTATIONAL & APPLIED MATHEMATICS; v. 41, n. 8, p. 22-pg., 2022-12-01.
Abstract
This paper presents a study of the heat transfer in objects, considering uncertain parameters such as the thermal diffusion coefficient and the initial condition. The uncertainty is modeled by intervals and fuzzy values. The fuzzy solutions to the problem are obtained from the Zadeh's extension principle. This work presents the characterization of the interval and fuzzy solutions by means of alpha-cuts, as well as associations between the propagation of uncertainty and the physical properties of materials. A comparison between the classical solution and the solutions obtained by defuzzification methods is also presented. To illustrate the results, some examples are provided, considering different materials. (AU)

FAPESP's process:	21/03896-1 - Study of uncertainties in physical phenomena via fuzzy sets theor
Grantee:	Yngrid Zacharias Delgato
Support Opportunities:	Scholarships in Brazil - Scientific Initiation