On visualizing the number comparison scheme in grey extent analysis

The purpose of this paper is to illustrate an alternative number comparison process to the original procedure utilized under the grey extent analysis.

Number comparison process is visualized on simple diagrams constructed on a Cartesian coordinate system. Discernable areas to assist related probability calculation were sought according to compliance with desired dominance conditions.

By visualization, the author was able to obtain exactly the same probability information as those attainable by using the original number comparison process.

Reach of this methodology is merely constrained by the limitation of original method where whitenization values of interest uniformly distribute over the domains of related grey numbers.

Number comparison with visualization is easy to comprehend and practice, does not require resorting to probability formulas and an understanding of probability concepts.