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

• Published in: Expert systems with applications Vol. 40; no. 3; pp. 953 - 957
• Main Authors: Akın, Ö., Khaniyev, T., Oruç, Ö., Türkşen, I.B.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier Ltd 15.02.2013; Elsevier
• Subjects: Algorithms; Alpha-cut operation; Differential equations; Exact sciences and technology; Expert systems; Fuzzy; Fuzzy differential equations; Fuzzy initial value; Fuzzy initial value problem; Fuzzy logic; Fuzzy number; Fuzzy set theory; Initial value problems; Mathematical analysis; Mathematics; Ordinary differential equations; Sciences and techniques of general use; Fuzzy initial value; Fuzzy number; Fuzzy initial value problem; Alpha-cut operation; Fuzzy differential equations; Fuzzy logic; Second order equation; Computer arithmetic; Differential equation; Initial value problem; Fuzzy set

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...