Gasilov, N. A.Amrahov, S. E.Fatullayev, A.G.Hashimoglu, I. F.2024-01-262024-01-2620150020-0255http://hdl.handle.net/11727/11345In 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.enginfo:eu-repo/semantics/closedAccessFuzzy boundary value problemFuzzy differential equationFuzzy setArticle3173493680003580934000212-s2.0-849301530671872-6291