Summary: M. Mursaleen
and S. A. Mohiuddine
[Chaos Solitons Fractals 42, No. 2, 1010–1015 (2009; Zbl 1200.46068
)], introduced Fréchet differentiation of nonlinear operators between Intuitionistic Fuzzy normed spaces as a generalization of notions given by Y. Yılmaz
[Chaos Solitons Fractals 41, No. 1, 473–484 (2009; Zbl 1200.46070
)]. In this work, we want to advance nonlinear theory of Intuitionistic Fuzzy bounded operators by introducing chain rule and some algebraic properties of Fréchet differentiation of operators between Intuitionistic Fuzzy normed spaces.