<p>This article introduces the idea of balanced fuzzy equations. Relationships of this type allow much better reasoning based on analysis of positive and negative factors. The motivation for this approach is to model the human decision-making process. Based on the achievements of psychological and social research, especially the theory of perspective, it is known that human decision-making is influenced by both positive and negative information. Thus, the development of methods for solving a new type of system of equations seems to be necessary. This work focuses on analyzing the possibility of using knowledge of fuzzy relational systems of equations to determine the family of solutions of fuzzy balanced systems. Some properties of balanced relational equations for this special case are presented.</p>