Fuzzy linear system of the form $\tilde{A}_{1} X\Theta_{gH}\tilde{A}_{2} X=\tilde{b}$

Abstract

In this paper, we shall propose a new method to obtain solutions of a fully fuzzy linear system (FFLS) based on concept of generalized Hakuhara difference. FFLS of the form $\tilde{A}_{1} X=\tilde{A}_{2} X+\tilde{b}$ is converted to $\tilde{A}_{1} X\Theta_{gH}\tilde{A}_{2} X=\tilde{b}$ that is solved by two kind of solutions. The first kind of FFLS $\tilde{A}_{1} X\Theta_{gH}\tilde{A}_{2} X=\tilde{b}$ is the same as the FFLS $(\tilde{A}_{1} + \tilde{A}_{2}) X=\tilde{b}$ will be the same. But in the latter the spread of solutions are higher in number.