Luciana Takata Gomes

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We define the concepts of derivative and integral of fuzzy functions using the extension principle of Zadeh on the corresponding classical operators. Here are some of its properties and we articulate a version of the Fundamental Theorem of Calculus for fuzzy functions and ensure the existence of a solution of fuzzy initial value problem under certain(More)
Fuzzy differential equations have been explored in many different ways, including theoretical aspects and in applications. The interpretation that is given to the fuzziness is a uncertainty due to fluctuations accumulated in the measurement process or due to partial information. This has much to do with a probabilistic interpretation. We propose to(More)
This note reveals that the assertion in [L. Stefanini, A generalization of Hukuhara difference, in: Soft Methods for Handling Variability and Imprecision, Series on Advances in Soft Computing, Vol. 48, Springer, 2008, pp. 203-210] that the generalized difference between two fuzzy numbers is always a fuzzy number is incorrect. As a consequence, the theorem(More)
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