Additive Measure
Definition of finitely additive class
Consider that the family of subsets
of space 
satisfies the following conditions:
Definition of finitely additive measure
The set function
defined in the finitely additive class 
of space 
satisfies the following conditions:
- For
,
Definition of completely additive measure
Consider a finitely additive measure
satisfying the following conditions, i.e., the denumerably infinite sets 
satisfy:
Example
a real monotone increasing function in 
(
constant)If we consider
for a finite interval 
, then 
is a finitely additive measure.
is right-hand continuous, 
is a completely additive measure.[0]Top