Singularly perturbed two-point fuzzy boundary value problems

S. Bayeğ, N. Doğan, R. Mert, Ö. Akın

In this work, we firstly introduce singularly perturbed two-point fuzzy boundary value problems (SPTPFBVPs). Then, we provide an algorithm for obtaining their solutions using Zadeh's extension principle. e present some results on the behavior of the $\alpha$-cuts of the solutions. To demonstrate the robustness of the algorithm, we fuzzify several examples with different boundary layers from the literature. Subsequently, we successfully apply the algorithm to these examples.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 79-101