Thread: Search comparison

I am writing a paper that compares similarities in two documents.
I have a mechanism to calculate the similarity between the two documents based on certain properties.

I have two sets with their similarities as a table.
I want to find the best matching pairs (eg: AX, BY, CZ) based on the highest similarity score. High score indicates the higher similarity.

My problem arises when there is a tie between similarity values. For example, AX and CZ have both 0.6. How do I decide which two pairs to select?

X Y Z
A|0.6 | 0.5 |0.4
B|0.6 |0.4 |0.2
C|0.6 |0.3 |0.6

I am sure there must be a theory in computer science in the field of IR maybe for this kinds of situation. As I am very new to this field, and if anyone could help me in this it will be greatly appreciated. Thanks.

Have you tried looking for a software that's applicable to you?