Multi Fuzzy Iterated Function System Consisting of Generalized Fuzzy Contraction Mapping in Fuzzy Metric Spaces

Abstract

The research work in this paper combines two concepts Iterated Function System and Multi Fuzzy Fractal Theory in the formulation of a new Iterated Function System, Multi Fuzzy Fractal Iterated Function System. More precisely, some uniqueness and existence of the attractor were obtained in the new multi fuzzy fractal spaces. Some illustrative examples are given that will be useful for this research purpose. From then on, our results are generalizations of some recent results provided in the literature. We define a methodology for the construction of multi fuzzy IFS in multi fuzzy fractal space consisting of a generalized contraction mapping.