Visualization of Bipolar Aggregation Operators Based on a Modified 3D Balance Model

Aggregation operators are widely used in decision making applications, but the aggregation operator synthesis process is difficult to understand by experts, therefore various visualization methods are important to be developed for such operators. This paper is intended to improve an existing aggregation operator visualization method in order to enrich its application area with bipolar aggregation operators. The Unity game engine was leveraged as a versatile virtual reality platform and the model plane rotation angle constraints were creatively reworked to accomplish the aforementioned goal. This paper proposes a method for visualizing bipolar aggregation operators based on a 3D balance model and presents its implementation in the Unity game engine. This method allows visualizing the aggregation of criteria defined on various types of bipolar scales, considering the criteria interdependencies.