Gasilov, N. A.Amrahov, S. E.Fatullayev, A. G.Hashimoglu, I. F.2024-09-292024-09-2920150020-02551872-6291https://doi.org/10.1016/j.ins.2015.05.002https://hdl.handle.net/20.500.14619/4781In this paper, we present a new approach to a non-homogeneous fuzzy boundary value problem. We consider a linear differential equation with real coefficients but with a fuzzy forcing function and fuzzy boundary values. We assume that the forcing function is a triangular fuzzy function. Unlike previous studies, we look for a solution that is a fuzzy set of real functions (not a fuzzy-valued function). Each of these real functions satisfies the boundary value problem with some membership degree. We have developed a method that finds this solution, and demonstrated its effectiveness using a test example. To show that the approach can be extended to other types of fuzzy numbers, we extended it to the trapezoidal case. For a particular example, we used the product t-norm to demonstrate how a new solution type can be obtained. (C) 2015 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessFuzzy boundary value problemFuzzy differential equationFuzzy setArticle10.1016/j.ins.2015.05.0022-s2.0-84930153067368Q1349317WOS:000358093400021Q1