Jaccard coefficient similarity measure for asymmetric binary variables

How to calculate the similarity of an asymmetric binary variable using Jaccard coefficient?
There are many methods to calculate the similarity of data. Jaccard coefficient is one of them.Jaccard coefficient is used to calculate the similarity among asymmetric binary attributes.

Contingency table for binary data:

Object 2
Object 1 1 / True / Positive 0 / False / Negative Sum

In table 1 we can consider the following facts.
A represents that object 1 is True and object 2 is also True.
B represents that object 1 is True and object 2 is False.
C represents that object 1 is False and object 2 is True.
D represents that object 1 is False and object 2 is also False.

Name Fever Cough Test 1 Test 2 Test 3 Test 4
Asad Negative Yes Negative Positive Negative Negative
Bilal Negative Yes Negative Positive Positive Negative
Tahir Positive Yes Negative Negative Negative Negative

In table 2, Asad, Bilal and Tahir are objects. Negative values represent False and Positive represents Negative.

Consider 1 for positive/True and 0 for negative/False.

jaccard similarity in statistics
Similarly, we can calculate the similarity of one object with each other object.

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