☆ 4.1 Article

On some basic properties of differentiation in intuitionistic fuzzy normed spaces

MATHEMATICAL AND COMPUTER MODELLING (2010)

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Journal

MATHEMATICAL AND COMPUTER MODELLING
Volume 52, Issue 3-4, Pages 448-458

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.03.026

Keywords

Intuitionistic fuzzy set; IF-metric space; IF-normed space; IF-differentiation

Categories

Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics, Applied

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Mursaleen and Mohiuddine (2009) [13], introduced Frechet differentiation of nonlinear operators between Intuitionistic Fuzzy normed spaces as a generalization of notions given in Yilmaz (2009) [14]. In this work, we want to advance nonlinear theory of Intuitionistic Fuzzy bounded operators by introducing chain rule and some algebraic properties of Frechet differentiation of operators between Intuitionistic Fuzzy normed spaces. (C) 2010 Elsevier Ltd. All rights reserved.

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