Computer Science – Numerical Analysis
Scientific paper
2009-10-22
Appl. Math. Inf. Sci. 5, 3 (2011) pp. 484-499
Computer Science
Numerical Analysis
13 pages, 3 figures
Scientific paper
In this paper, systems of linear differential equations with crisp real coefficients and with initial condition described by a vector of fuzzy numbers are studied. A new method based on the geometric representations of linear transformations is proposed to find a solution. The most important difference between this method and methods offered in previous papers is that the solution is considered to be a fuzzy set of real vector-functions rather than a fuzzy vector-function. Each member of the set satisfies the given system with a certain possibility. It is shown that at any time the solution constitutes a fuzzy region in the coordinate space, alfa-cuts of which are nested parallelepipeds. Proposed method is illustrated on examples.
Amrahov Sh. G.
Fatullayev Afet Golayoglu
Gasilov Nizami
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