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To understand multi-label classification, lets first understand simple multi-class classification that is used in most of the places.
Multi-class Classification (MCC) : A single instance of training data is assigned to a single class amongst the group of classes {Ci} where i ∈ (0, n) where n can be any number that the problem has. MCC is very common heuristic used to classify instances of data into categories based on classes. A key observation here is, each instance can be associated with atmost one class at any given instance of time 't'.
Multi-label classification (MLC): It is a generalization of multi-class classification where a single instance can be assigned to multiple classes aka 'labels' at a given instance of time 't'
Understanding difference between MCC and MLC visually -
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Implementing multi-label classification algorithms from scratch in Python
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