Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes

In order to solve multi-attribute decision making problems involving inter-dependence or interaction among the attributes, in this paper, two new Atanassov intuitionistic fuzzy integral operators, namely the Atanassov intuitionistic fuzzy Zhenyuan averaging operator and the Atanassov intuitionistic fuzzy Zhenyuan geometric operator, are proposed. The devised operators fully consider the importance of interactions among different attributes and are highly suitable to handle problems where the attributes are inter-dependent or interactive. Some of their desirable properties are studied. Finally, a series of simulations are provided to demonstrate the advantages and validity of the proposed aggregation operators.