Abstract
In this paper, we define the FMα integrals of fuzzy-numbervalued functions and discuss its properties. Especially, we give two examples which show that the FMα integrable function is not fuzzy McShane integrable, and the fuzzy Henstock integrable function is not FMα integrable function. As the main outcomes, we prove that a fuzzy-numbervalued function f: I0 → En is FMα integrable on I0 if and only if there exists an ACGα function F such that F′ = f almost everywhere on I0.
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CITATION STYLE
Shao, Y., Ma, Q., & Zhang, X. (2014). On the FMα-integral of fuzzy-number-valued functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8818, pp. 386–396). Springer Verlag. https://doi.org/10.1007/978-3-319-11740-9_36
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