General fuzzy linear systems

Fuzzy linear matrix equation

“…Research on solving systems of linear matrix equations has been ongoing for the past 50 or more years (Navarra et al 2001). When B ∈ R 1×1 , fuzzy linear matrix equation transforms to a fuzzy linear equation that has been studied by many authors (Abbasbandy et al 2006;Allahviranloo 2003Allahviranloo , 2004Allahviranloo , 2005aAllahviranloo and Afshar Kermani 2006;Asady et al 2005;Dehghan and Hashemi 2006;Friedman et al 1998Friedman et al , 2003Ma et al 2000;Wang and Zheng 2006;Wanga et al 2001;Zheng and Wang 2006.) Friedman et al (1998) proposed a general model for solving such fuzzy linear systems by using the embedding approach.…”

A Novel Weak Fuzzy Solution for Fuzzy Linear System

“…Indeed, they employed the definition for weak fuzzy solution, introduced in [21], where Equations (3) and (4) are transformed to the following:…”

A solution of dual fully fuzzy linear system of equations

“…They have used the parametric form of fuzzy numbers and replace the original fuzzy linear system by 2n × 2n crisp system. Asady et al [5], who merely discussed the full row rank system, used the same method to solve the m × n fuzzy linear system for m ≤ n. Zheng and wang [15,16] discussed the solution of the general m × n consistent and inconsistent fuzzy linear system. On the fuzzy linear system of dual equations A x = B x ⊕ b, where A and B are real square matrices, Friedman et.…”