study of transitivity, periodic density and sensitivity for chaotic non-autonomous fuzzified dynamical system

The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. a non-autonomous discrete dynamical system has been framework  using the series technique map method to elaborate the relationships between the non-autonomous discrete dynamical system in the original (crisp) system and its g-fuzzified system. more specially, for the considered non-autonomous discrete dynamical system, the relationship between transitivity, weakly mixing, periodic density, and sensitive dependence on initial conditions have been examined.