Browsing by Author "Hashimoglu, I. F."

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    Solution Method for A Boundary Value Problem with Fuzzy Forcing Function
    (2015) Gasilov, N. A.; Amrahov, S. E.; Fatullayev, A.G.; Hashimoglu, I. F.; 0000-0002-9955-8439; 0000-0001-7747-5467; AEN-1756-2022; AAF-3339-2020
    In 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.