4.7 Article

Intuitionistic fuzzy metric spaces

Journal

CHAOS SOLITONS & FRACTALS
Volume 22, Issue 5, Pages 1039-1046

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2004.02.051

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Using the idea of intuitionistic fuzzy set due to Atanassov [Intuitionistic fuzzy sets. in: Sgurev V. (Ed.), VII ITKR's Session, Sofia June, 1983; Fuzzy Sets Syst. 20 (1986) 87], we define the notion of intuitionistic fuzzy metric spaces as a natural generalization of fuzzy metric spaces due to George and Veeramani [Fuzzy Sets Syst. 64 (1994) 395] and prove some known results of metric spaces including Baire's theorem and the Uniform limit theorem for intuitionistic fuzzy metric spaces. (C) 2004 Elsevier Ltd. All rights reserved.

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