title: A proposed method for solving fuzzy system of linear equations.
abstract: This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m × n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed method is illustrated by some numerical examples.
authors.affiliation: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran.
authors.forename: Reza
authors.identifier: 0000-0002-3493-9169
authors.initials: R
authors.lastname: Kargar
authors.affiliation: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran.
authors.forename: Tofigh
authors.identifier: 0000-0002-6673-3560
authors.initials: T
authors.lastname: Allahviranloo
authors.affiliation: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran.
authors.forename: Mohsen
authors.initials: M
authors.lastname: Rostami-Malkhalifeh
authors.affiliation: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, Iran.
authors.forename: Gholam Reza
authors.initials: GR
authors.lastname: Jahanshaloo
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical