Fractal transforms for fuzzy valued images

Document Type : Research Paper


1 Department of Mathematics, B. S. Abdur Rahman University, Vandalur, Chennai-48, Tamilnadu, India

2 Department of Mathematics, Gandhigram Rural Institute (Deemed University), Gandhigram, Dindigul, Tamilnadu, India


The aim of this paper is to construct a complete metric space of fuzzy valued image functions and to define a fractal transform operator T. Contraction of T is guarantees the existence of its fixed point. A fuzzy point is considered for this purpose as a crisp point and approached through classical method on proving the completeness of the space.


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Volume 12, Issue 1
May 2021
Pages 856-868
  • Receive Date: 07 September 2016
  • Revise Date: 05 September 2017
  • Accept Date: 04 November 2019