Selami BayeğRaziye MertBayeğ, Selami2024-07-112024-07-112021-1010.7546/nifs.2021.27.3.9-17https://acikarsiv.thk.edu.tr/handle/123456789/1996<jats:p>In this paper, by using \alpha- and \beta-cuts approach and the intuitionistic fuzzy Zadeh’s extension principle, we have proved a result which reveals that the \alpha- and \beta-cuts of an intuitionistic fuzzy number obtained by the intuitionistic fuzzy Zadeh’s extension principle coincide with the images of the \alpha- and \beta-cuts by the crisp function. Then we have given a corollary about monotonicity of the extension principle. Finally, we have extended these results to IF_N(\mathbb{R}) \times IF_N(\mathbb{R}).</jats:p>journal-article