On the solution of the fully fuzzy Sylvester matrix equation. (2nd January 2020)

• Record Type: Journal Article
• Authors: Keyanpour, Mohammad; Salkuyeh, Davod Khojasteh; Moosaei, Hossein; Ketabchi, Saeed
• Is Part Of: International journal of modelling & simulation. Volume 40:Number 1(2020)
• Page Start: 80
• Page End: 85
• Publication Date: 2020-01-02
• Subjects: Fuzzy Sylvester equation -- system of linear equations -- trapezoidal fuzzy number -- M-matrix; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2018.1548119
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: The aim of this paper is to propose a method for solving fully fuzzy Sylvester equation (FFSE) A X + X B = C, where A, B and C are fuzzy matrices. By using of α -cutting, FFSE is transformed to a generalized Sylvester matrix equation, and then to a crisp system of linear equations. Existence and uniqueness of a solution to this system are investigated. Two numerical examples are given to illustrate the proposed method.