Intuitionistic fuzzy integrals based on Archimedean t-conorms and t-norms

Intuitionistic fuzzy set (IFS) is an extension of fuzzy sets. The basic element of an IFS is the ordered pair called intuitionistic fuzzy number (IFN). In order to solve decision making problems under intuitionistic fuzzy environments, many aggregation techniques for IFNs have been proposed, most of which can only deal with discrete intuitionistic fuzzy information. In this paper, we define two subtraction and division operations of IFNs, and develop a sequence of general integrals dealing with continuous intuitionistic fuzzy data based on Archimedean t-conorm and t-norm. Then we discuss some special cases, and investigate the basic properties of these intuitionistic fuzzy integrals.