Solution method for a boundary value problem with fuzzy forcing function


Gasilov N. A. , Amrahov S. E. , Fatullayev A. G. , Hashimoglu I. F.

INFORMATION SCIENCES, cilt.317, ss.349-368, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 317
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.ins.2015.05.002
  • Dergi Adı: INFORMATION SCIENCES
  • Sayfa Sayıları: ss.349-368

Özet

In this paper, we present a new approach to a non-homogeneous fuzzy boundary value problem. We consider a linear differential equation with real coefficients but with a fuzzy forcing function and fuzzy boundary values. We assume that the forcing function is a triangular fuzzy function. Unlike previous studies, we look for a solution that is a fuzzy set of real functions (not a fuzzy-valued function). Each of these real functions satisfies the boundary value problem with some membership degree. We have developed a method that finds this solution, and demonstrated its effectiveness using a test example.