Fuzzy Systems

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Multivalued Fractals in Fuzzy Metric Spaces


Affiliations
1 Department of Mathematics, The Gandhigram Rural Institute, Deemed University, Gandhigram, 624 302, Dindigul, Tamil Nadu, India
     

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The purpose of this paper is to initiate the notion of multivalued fractals in fuzzy metric spaces generated by the iterated multifunction system.  We extend the Hutchinson-Barnsley theory for an iterated multifunction system of fuzzy contractions in order to define and construct the multivalued fractals in the fuzzy metric spaces.  Also we discuss some results on multivalued fuzzy fractals in the standard fuzzy metric spaces.


Keywords

Fractal Analysis, Fuzzy Contraction, Iterated Multifunction System, Fuzzy Metric Space, Hausdorff Fuzzy Metric.
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  • Multivalued Fractals in Fuzzy Metric Spaces

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Authors

R. Uthayakumar
Department of Mathematics, The Gandhigram Rural Institute, Deemed University, Gandhigram, 624 302, Dindigul, Tamil Nadu, India
D. Easwaramoorthy
Department of Mathematics, The Gandhigram Rural Institute, Deemed University, Gandhigram, 624 302, Dindigul, Tamil Nadu, India

Abstract


The purpose of this paper is to initiate the notion of multivalued fractals in fuzzy metric spaces generated by the iterated multifunction system.  We extend the Hutchinson-Barnsley theory for an iterated multifunction system of fuzzy contractions in order to define and construct the multivalued fractals in the fuzzy metric spaces.  Also we discuss some results on multivalued fuzzy fractals in the standard fuzzy metric spaces.


Keywords


Fractal Analysis, Fuzzy Contraction, Iterated Multifunction System, Fuzzy Metric Space, Hausdorff Fuzzy Metric.