Non zero solutions of the fully fuzzy linear systems. (English) Zbl 1220.65034

Allahviranloo, Tofigh; Mikaeilvand, Nasser

Appl. Comput. Math. 10, No. 2, 271-282 (2011).

Summary: System of linear equations are a problem that may be solved for solving many problems in various areas of applied sciences. Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. We discuss fully fuzzy linear systems (shown as FFLS) using an embedding approach to find its non-zero fuzzy number solutions. We investigate an \(n\times n\) FFLS and replace the original \(n\times n\) FFLS by an \(2n\times 2n\) parametric linear system and finally, numerical examples are used to illustrate this approach.

MSC:

65F05	Direct numerical methods for linear systems and matrix inversion
08A72	Fuzzy algebraic structures
15B15	Fuzzy matrices

Keywords:

fuzzy numbers; fully fuzzy linear systems; systems of fuzzy linear equations; embedding methods; splitting method; numerical examples