Ferramenta computacional fuzzy para aplicações do princípio de extensão de Zadeh em funções aritméticas

Abstract

In this work, we presented a computational methodology which allows the application of Zadeh's extension principle of fuzzy logic to arithmetic functions. The extension principle of Zadeh is used to extend the fuzzy uncertain to mathematical models through the addition of fuzzy parameters (uncertain) to such models, in this work with one, two or three fuzzy parameters. We tested non-monotonic functions and related thermodynamics functions. Thus, using a computational tool, was possible to evaluate the behavior of fuzzified functions in accordance with the uncertainty increase, by adding up to three parameters and fuzzy confront the defuzzification results in relation to classical result, enabling a new form for analysis of such functions.