Hi there,
you can interpret the value of the sigmoid function as probability: e.g. if the the sigmoid function returns a value of s(x) =0.5 you can interpret this as a 50% probability.
In the example of a classification between class A and B this would mean 50% probability that a certain input feature set belongs to class A.
For example this value of 50% can also be used as a threshold for a classification decision.
This thread might be interesting to take a look at: Decision boundary vs prediction f_wb in logistic regression - #9 by Christian_Simonis
Please let me know if this answers your question, @tbhaxor.
Best regards
Christian