The main focus of this paper is to investigate intuitionistic linguistic information fusion based on Heronian mean. Two new intuitionistic linguistic aggregation operators called intuitionistic linguistic generalized Heronian mean (ILGHM) and intuitionistic linguistic generalized weighted Heronian mean (ILGWHM) operators, are introduced. The ILGHM and ILGWHM operators are characterized by the ability to deal with the intuitionistic linguistic multiple attribute decision making problems in which the attributes are interactive. Some desired properties and special cases with respect to the different parameter values in the developed operators are studied. Furthermore, a method based on the proposed operators is developed to deal with multiple attribute group decision making (MAGDM) method problems. Finally, an illustrative example concerning evaluation of scientific research capacity is provided to illustrate the decision-making process and to discuss the influences of different parameters on the decision-making results.