The induced aggregation operator from the intuitionistic additive definite integral is an important tool to aggregate information. But, before utilizing any measure, it is essential to examine their existence over the given dataset . In this paper, we intend to examine the existence of intuitionistic fuzzy additive definite integral and hence their induced aggregation operator with respect to the new subtraction operation $\ominus^{'}$ . To do so, we first discussed the new subtraction operation $\ominus^{'}$ against the old subtraction operation $\ominus$ over some counter-examples. It is observed that there are some cases in which the old operation $\ominus$ is not defined. Therefore, to ensure the existence of the additive definite integral in a more general setting, we proved some lemma and theorems by using the new subtraction operation and function of bounded variation.