Successive Iteration Approach for Solvability of Second-Order Semilinear Fuzzy Systems

The contribution of this research is to introduce a novel framework for determining the existence and uniqueness of a specific type of second-order semilinear fuzzy systems ( \(\mathcal {SOSFS}\) s). The findings are derived through the implementation of the successive iteration approach and the theory of fuzzy numbers. Such numbers are characterized by normal, convex, upper semicontinuous, and compactly supported interval values in the domain \(\mathcal {E}_N\) . In order to showcase the practicality of the developed methodology, an illustrative example is presented.