TY - EJOU
AU - Gasilov, N.A.
AU - Hashimoglu, I.F.
AU - Amrahov, S.E.
AU - Fatullayev, A.G.
TI - A New Approach to Non-Homogeneous Fuzzy Initial Value Problem
T2 - Computer Modeling in Engineering \& Sciences
PY - 2012
VL - 85
IS - 4
SN - 1526-1506
AB - 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.
KW - Fuzzy initial value problem
KW - fuzzy differential equation
KW - fuzzy set
DO - 10.3970/cmes.2012.085.367