Abstract

We develop the Hutchinson-Barnsley theory for generating the intuitionistic fuzzy fractals through iterated function system, which consists of finite number of intuitionistic fuzzy contractive mappings on intuitionistic fuzzy metric space. For that, we prove the existence and uniqueness of fractals in a complete intuitionistic fuzzy metric space and a compact intuitionistic fuzzy metric space by using the intuitionistic fuzzy Banach contraction theorem and the intuitionistic fuzzy Edelstein contraction theorem respectively.

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