I am going to present you my problem and ask you for solutions' references.
I have a discrete temporal series, which is the sequence of Natural numbers $T = \lbrace 1, 2, \dots, N \rbrace$.
An Event is a set of interval, where each interval is a couple $<start, stop>$. E.g, we can have the following Event: $$E=\{ <0, 10>, <20, 30>, <40,50> \}$$
I want to define some operations between Events: $\cap,\cup,\setminus$ and explore their properties.
Do you know if I can find any references to solutions which can be applied to this problem?