<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We present a sequence of sets converging, under suitable conditions and respect to the Hausdorff intuitionistic fuzzy metric, to the attractor set of certain intuitionistic fuzzy iterated function systems. For this goal, we will introduce a <italic>fuzzy version</italic> of the so called <italic>α</italic>-dense curves which have been used by the author to approximate, with arbitrarily small and controlled error, the attractor set of certain (metric) iterated function systems. In this way, we relate the above mentioned concepts of the intuitionistic fuzzy metric spaces with the <italic>α</italic>-density theory.</p>
</abstract>

We present a sequence of sets converging, under suitable conditions and respect to the Hausdorff intuitionistic fuzzy metric, to the attractor set of certain intuitionistic fuzzy iterated function systems. For this goal, we will introduce a fuzzy version of the so called α-dense curves which have been used by the author to approximate, with arbitrarily small and controlled error, the attractor set of certain (metric) iterated function systems. In this way, we relate the above mentioned concepts of the intuitionistic fuzzy metric spaces with the α-density theory.

Approximating intuitionistic fuzzy fractals by densifiability techniques

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Approximating intuitionistic fuzzy fractals by densifiability techniques"}

We present a sequence of sets converging, under suitable conditions and respect to the Hausdorff intuitionistic fuzzy metric, to the attractor set of certain...

Approximating intuitionistic fuzzy fractals by densifiability techniques

Published Online: Mar 30, 2022

Page range: 3 - 21

Received: Oct 25, 2020

Accepted: Jul 19, 2021

DOI: https://doi.org/10.2478/gm-2021-0011

Keywords
Intuitionistic fuzzy metric space, Intuitionistic fuzzy iterated function systems, Intuitionistic fuzzy fractals, Fuzzy metric spaces, -dense curves, fuzzy -dense curves

© 2021 Gonzalo García, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Approximating intuitionistic fuzzy fractals by densifiability techniques

Published Online: Mar 30, 2022

Page range: 3 - 21

Received: Oct 25, 2020

Accepted: Jul 19, 2021

DOI: https://doi.org/10.2478/gm-2021-0011

KeywordsIntuitionistic fuzzy metric space, Intuitionistic fuzzy iterated function systems, Intuitionistic fuzzy fractals, Fuzzy metric spaces, -dense curves, fuzzy -dense curves

© 2021 Gonzalo García, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Intuitionistic fuzzy metric space, Intuitionistic fuzzy iterated function systems, Intuitionistic fuzzy fractals, Fuzzy metric spaces, -dense curves, fuzzy -dense curves