European Journal of Molecular & Clinical Medicine

The Cubic root fuzzy set is the extension of fuzzy set. In this paper, we  investigate various algebraic structures of  cubic root fuzzy set (CR-fuzzy set) which is an extension of fuzzy set. Various operations, score function, accuracy functions and some standard results to be proved based on CR-fuzzy set. Finally, we propose applications of CR-fuzzy set in decision making approach with suitable example.