Solving general dual fully fuzzy linear systems by the pseudo inverse matrices

In this paper, we present a solution of an arbitrary general (square or non-square) dual fully fuzzy linear systems (DFFLS) in the form e A⊗ex = e C⊗ex⊕ee, where coefficients matricese A and e C are m× n fuzzy matrices, ex and ee are n × 1 and m× 1 fuzzy vectors, respectively and all of this system is elements of LR type of fuzzy numbers. Our method discuss a general DFFLS (square or rectangle dual fully fuzzy linear systems with trapezoidal or triangularLR fuzzy numbers). By the transforming dual fully fuzzy linear system into two crisp linear systems, then obtain the solution of this two systems by using the pseudo inverse matrix method. Numerical examples are given to illustrate our method.

Keywords:

Dual fully fuzzy linear system (DFFLS) , Fully fuzzy linear system (FFLS) , Fuzzy matrix , Pseudo inverse matrix