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Zbl 1201.03049
Y ilmaz, Y ilmaz
On some basic properties of differentiation in intuitionistic fuzzy normed spaces. (English)
[J] Math. Comput. Modelling 52, No. 3-4, 448-458 (2010). ISSN 0895-7177

Summary: {\it M. Mursaleen} and {\it 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 {\it Y. Y ilmaz} [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.

MSC 2000:: *03E72 Fuzzy sets (logic)

Keywords: intuitionistic fuzzy set; IF-metric space; IF-normed space; IF-differentiation

Citations: Zbl 1200.46068; Zbl 1200.46070

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