Consensus Evaluation: A Practical 4D Geometry Method for 7-Point Likert Data

Abstract

Consensus measures are commonly used in research and typically rely on Likert scales, focusing on the 5-point Likert scale. One of the main attributes of this scale is that it is designed to work for any size. However, many of the researchers used the 5-point Likert scale. While some researchers have attempted to generalize consensus measures to work in two-dimensional space, this approach remains complex and challenging. In this work, we generalize the measure of consensus to work for seven Likert scales using the computational geometry of four-dimensional concepts. A numerical example and some related concepts are provided.