Solution and Analysis of Coupled Homogeneous Linear Intuitionistic Fuzzy Difference Equation

In this paper, we have considered the initial valued coupled homogeneous linear difference equation in an intuitionistic fuzzy environment. We have given an outline of the general and analytical solutions at some fixed iteration levels and discussed the stability condition near the trivial intuitionistic equilibrium point of the system through a lemma. The proposed model is applied to check a predator-prey model and the graphical solutions are taken with taking different intuitionistic initial predator and prey population sizes to observe the dynamics in a short-sighted plan. Also, the graphical outcomes in an intuitionistic environment validate the theoretical result and the interrelated dynamical nature to fathom the significance of this work.