Chebyshev distance is also called Maximum value distance. It examines the absolute magnitude of the differences between coordinates of a pair of objects. This distance can be used for both ordinal and quantitative variables.
Other name: Tchebyschev Distance (due to translation)
Formula
Experiment with the interactive program below. Suppose you need to walk from location A to location B. There are two paths. Using path1, you need to walk 3 km, while using path 2, you need to walk 4 km. What is the Chebyshev Distance from location A to location B? Put A = (0, 0) to indicate the origin and B = (3, 4), the Chebyshev distance represents the maximum length of walking distance from location A to location B through any paths. If you have the third dimension, it may represent the height and the fourth dimension can represent any other factors such as satisfaction, comfortability, etc.
Input coordinate values of ObjectA and ObjectB (the coordinate are numbers only), then press "Get Chebyshev Distance" button. The program will directly calculate when you type the input.
For example:


Features 




cost 
time 
weight 
incentive 

Object A 
0 
3 
4 
5 

Object B 
7 
6 
3 
1 
Point A has coordinate (0, 3, 4, 5) and point B has coordinate (7, 6, 3, 1).
The Chebyshev Distance between point A and B is
The pattern of Chebyshev distance in 2dimension is square. When the sink is on the center, it forms concentric squares around the center.
Chebyshev distance is a special case of Minkowski distance with (take a limit)
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Similarity Measurement. http:\people.revoledu.comkardi tutorialSimilarity