An algorithm for the solution of second order fuzzy initial value problems

Authors:
Ö. AkıN;T. Khaniyev;Ö. Oruç;I. B. TüRkşEn
Affiliations:
TOBB Economics and Technology University, Faculty of Arts and Sciences, Department of Mathematics, 06530 Söğütözü, Ankara, Turkey;TOBB Economics and Technology University, Department of Industrial Engineering, 06530 Söğütözü, Ankara, Turkey;TOBB Economics and Technology University, Faculty of Arts and Sciences, Department of Mathematics, 06530 Söğütözü, Ankara, Turkey;TOBB Economics and Technology University, Department of Industrial Engineering, 06530 Söğütözü, Ankara, Turkey and Department of Mechanical and Industrial Engineering Univ ...
Venue:
Expert Systems with Applications: An International Journal
Year:
2013

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Abstract

In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We propose an algorithm based on alpha-cut of a fuzzy set. Finally we present some examples by using our proposed algorithm.