Journal
SOFT COMPUTING
Volume 18, Issue 2, Pages 217-225Publisher
SPRINGER
DOI: 10.1007/s00500-013-1081-z
Keywords
Fuzzy initial value problem; Fuzzy differential equation; Fuzzy set; Linear transformation
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In this paper, we consider a high-order linear differential equation with fuzzy initial values. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. Also we propose a method based on properties of linear transformations to find the fuzzy solution. We find out the solution determined by our method coincides with one of the solutions obtained by the extension principle method. Some examples are presented to illustrate applicability of the proposed method.
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