The study fuzzy difference equation becomes very important as huge numbers of real-life problems in the field of engineering; ecology social science, etc. can be mathematically represented in the form of difference equation where impreciseness is inherently involved. In this paper, we have focused on the solution techniques of non-homogeneous fuzzy linear difference equation with different cases involving fuzzy initial conditions, fuzzy forcing function and fuzzy coefficient. The idea of fuzzy equilibrium point is introduced and its stability analysis has been performed. The whole theoretical work is followed by real-life applications which show the impact of fuzzy concepts in mathematical modelling for better understanding the behaviour of the system in an elegant manner.

随着工程领域中大量现实问题的出现，研究模糊差分方程变得非常重要。生态社会科学等可以用差分方程的形式来数学表示，其中固有地涉及不精确性。在本文中，我们着重研究了非均质模糊线性差分方程在不同情况下涉及模糊初始条件，模糊强迫函数和模糊系数的求解技术。介绍了模糊平衡点的概念，并进行了稳定性分析。整个理论工作之后是实际应用，这些应用显示了模糊概念在数学建模中的作用，以便以一种优雅的方式更好地理解系统的行为。