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

Author(s)

Delgato, Yngrid Zacharias ; Wasques, Vinicius Francisco

• 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