Signed decomposition of fully fuzzy linear systems. (English) Zbl 1177.65046

Allahviranloo, Tofigh; Mikaeilvand, Nasser; Kiani, Narsis Aftab; Shabestari, Rasol Mastani

Appl. Appl. Math. 3, No. 1, 77-88 (2008).

Summary: Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. In this paper, we discuss about fully fuzzy linear systems (FFLS) in the form \(Ax = b\). A novel method for finding the non-zero fuzzy solutions of these systems is proposed. We suppose that all elements of the coefficient matrix \(A\) are positive and we employ a parametric form linear system. Finally, numerical examples are presented to illustrate this approach and its results are compared with other methods.

MSC:

65F05	Direct numerical methods for linear systems and matrix inversion
15B15	Fuzzy matrices

Keywords:

fuzzy numbers; fully fuzzy linear systems; systems of fuzzy linear equations; non-zero solutions; decomposition method; numerical examples