A novel weak fuzzy solution for fuzzy linear system

This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this propo...

Full description

Bibliographic Details
Main Authors: Salahshour, Soheil, Ahmadian, Ali, Ismail, Fudziah, Baleanu, Dumitru
Format: Article
Language:English
Published: MDPI 2016
Online Access:http://psasir.upm.edu.my/id/eprint/56961/1/56961.pdf
Description
Summary:This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method.