Solving symmetric fully fuzzy polynomial equations based on length function properties on LR fuzzy numbers

In this paper, we study and investigate fully fuzzy polynomial equations (FFPEs) with coefficients given as symmetric LR fuzzy numbers. We first introduce some desirable and requirement properties of length function on LR fuzzy numbers. Next we obtain symmetric solutions related to symmetric fuzzy polynomial equations, by using length function properties and provide necessary and sufficient conditions of their existence. Finally, two numerical examples are solved to illustrate the obtained results.