Yazar "Fatullayev, A. G." seçeneğine göre listele

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    A New Approach to Non-Homogeneous Fuzzy Initial Value Problem
    (Tech Science Press, 2012) Gasilov, N. A.; Hashimoglu, I. F.; Amrahov, S. E.; Fatullayev, A. G.
    In this paper, we consider a high-order linear differential equation with fuzzy forcing function and with fuzzy initial values. We assume the forcing function be in a special form, which we call triangular fuzzy function. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. We propose a method to find the fuzzy solution. We present an example to illustrate applicability of the proposed method.
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    Solution method for a boundary value problem with fuzzy forcing function
    (Elsevier Science Inc, 2015) Gasilov, N. A.; Amrahov, S. E.; Fatullayev, A. G.; Hashimoglu, I. F.
    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.