Solution method for a boundary value problem with fuzzy forcing function

Gasilov N. A., EMRAH Ş., Fatullayev A. G., Hashimoglu I. F.

INFORMATION SCIENCES, vol.317, pp.349-368, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 317
  • Publication Date: 2015
  • Doi Number: 10.1016/j.ins.2015.05.002
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.349-368
  • Keywords: Fuzzy boundary value problem, Fuzzy differential equation, Fuzzy set, LINEAR-DIFFERENTIAL EQUATIONS, SYSTEMS
  • Ankara University Affiliated: Yes

Abstract

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.